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Journal articles on the topic 'Principle of maximum dissipation rate'

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Published: 4 June 2021
Last updated: 8 February 2022

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1

Fischer, F. D., and J. Svoboda. "A Note on the Principle of Maximum Dissipation Rate." Journal of Applied Mechanics 74, no. 5 (December 28, 2006): 923–26. http://dx.doi.org/10.1115/1.2722304.

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The Principle of Maximum Dissipation Rate (PMD) can be exploited to derive homogeneous kinetic rate laws for the internal variables. A “normality structure” expressing the rates of the internal variables as normal to convex functions (entropy production rate, dissipation function as flow potentials) in the space of the conjugate thermodynamic forces is a direct consequence of the PMD. This paper can be considered as a note to Yang et al., 2005, ASME J. Appl. Mech., 72, pp. 322–329.
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2

Slepyan, L. I. "Principle of maximum energy dissipation rate in crack dynamics." Journal of the Mechanics and Physics of Solids 41, no. 6 (June 1993): 1019–33. http://dx.doi.org/10.1016/0022-5096(93)90053-i.

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3

Chiarelli, Piero. "Far from Equilibrium Maximal Principle Leading to Matter Self-Organization." JOURNAL OF ADVANCES IN CHEMISTRY 5, no. 3 (December 2, 2009): 753–83. http://dx.doi.org/10.24297/jac.v5i3.2664.

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In this work an extremal principle driving the far from equilibrium evolution of a system of structureless particles is derived by using the stochastic quantum hydrodynamic analogy. For a classical phase (i.e., the quantum correlations decay on a distance smaller than the mean inter-molecular distance) the far from equilibrium kinetic equation can be cast in the form of a Fokker-Plank equation whose phase space velocity vector maximizes the dissipation of the energy-type function, named here, stochastic free energy.Near equilibrium the maximum stochastic free energy dissipation (SFED) is shown to be compatible with the Prigogine’s principle of minimum entropy production. Moreover, in quasi-isothermal far from equilibrium states, the theory shows that, in the case of elastic molecular collisions and in absence of chemical reactions, the maximum SFED reduces to the maximum free energy dissipation.When chemical reactions or relevant thermal gradients are present, the theory highlights that the Sawada enunciation of maximum free energy dissipation can be violated.The proposed model depicts the Prigogine’s principle of minimum entropy production near-equilibrium and the far from equilibrium Sawada’s principle of maximum energy dissipation as two complementary principia of a unique theory where the latter one is a particular case of the more general one of maximum stochastic free energy dissipation.Following the tendency to reach the highest rate of SFED, a system relaxing to equilibrium goes through states with higher order so that the matter self-organization becomes possible.
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4

Roubíček, Tomáš, Christos G. Panagiotopoulos, and Vladislav Mantič. "Local-solution approach to quasistatic rate-independent mixed-mode delamination." Mathematical Models and Methods in Applied Sciences 25, no. 07 (April 14, 2015): 1337–64. http://dx.doi.org/10.1142/s0218202515500347.

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The model of quasistatic rate-independent evolution of a delamination at small strains in the so-called mixed mode, i.e. distinguishing opening (Mode I) from shearing (Mode II), devised in [Delamination and adhesive contact models and their mathematical analysis and numerical treatment, Chap. 9, in Mathematical Methods and Models in Composites, ed. V. Mantič (Imperial College Press, 2014), pp. 349–400; and in Quasistatic mixed-mode delamination model, Discrete Contin. Dynam. Syst. Ser. S 6 (2013) 591–610], is rigorously analyzed in the context of a concept of stress-driven local solutions. The model has separately convex stored energy and is associative, namely the one-homogeneous potential of dissipative forces driving the delamination depends only on rates of internal parameters. An efficient fractional-step-type semi-implicit discretization in time is shown to converge to (specific, stress-driven like) local solutions that may approximately obey the maximum-dissipation principle. Making still a spatial discretization, this convergence as well as relevancy of such solution concept are demonstrated on a nontrivial two-dimensional example.
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5

Borino, G., P. Fuschi, and C. Polizzotto. "A Thermodynamic Approach to Nonlocal Plasticity and Related Variational Principles." Journal of Applied Mechanics 66, no. 4 (December 1, 1999): 952–63. http://dx.doi.org/10.1115/1.2791804.

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Elastic-plastic rate-independent materials with isotropic hardening/softening of nonlocal nature are considered in the context of small displacements and strains. A suitable thermodynamic framework is envisaged as a basis of a nonlocal associative plasticity theory in which the plastic yielding laws comply with a (nonlocal) maximum intrinsic dissipation theorem. Additionally, the rate response problem for a (continuous) set of (macroscopic) material particles, subjected to a given total strain rate field, is discussed and shown to be characterized by a minimum principle in terms of plastic coefficient. This coefficient and the relevant continuum tangent stiffness matrix are shown to admit, in the region of active plastic yielding, some specific series representations. Finally, the structural rate response problem for assigned load rates is studied in relation to the solution uniqueness, and two variational principles are provided for this boundary value problem.
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6

Salwén, Anders. "Computer simulation of the long-range diffusional transformation based on the postulated principle of maximum dissipation rate of Gibbs energy." Zeitschrift für Metallkunde 93, no. 6 (June 2002): 508–15. http://dx.doi.org/10.3139/146.020508.

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7

Moffatt, H. K., S. Kida, and K. Ohkitani. "Stretched vortices – the sinews of turbulence; large-Reynolds-number asymptotics." Journal of Fluid Mechanics 259 (January 25, 1994): 241–64. http://dx.doi.org/10.1017/s002211209400011x.

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A large-Reynolds-number asymptotic theory is presented for the problem of a vortex tube of finite circulation [Gcy ] subjected to uniform non-axisymmetric irrotational strain, and aligned along an axis of positive rate of strain. It is shown that at leading order the vorticity field is determined by a solvability condition at first-order in ε = 1/R[Gcy ] where R[gcy ] = [gcy ]/ν. The first-order problem is solved completely, and contours of constant rate of energy dissipation are obtained and compared with the family of contour maps obtained in a previous numerical study of the problem. It is found that the region of large dissipation does not overlap the region of large enstrophy; in fact, the dissipation rate is maximal at a distance from the vortex axis at which the enstrophy has fallen to only 2.8% of its maximum value. The correlation between enstrophy and dissipation fields is found to be 0.19 + O(ε2). The solution reveals that the stretched vortex can survive for a long time even when two of the principal rates of strain are positive, provided R[gcy ] is large enough. The manner in which the theory may be extended to higher orders in ε is indicated. The results are discussed in relation to the high-vorticity regions (here described as ‘sinews’) observed in many direct numerical simulations of turbulence.
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8

Mahulikar, Shripad P, Tapan K Sengupta, Nidhi Sharma, and Pallavi Rastogi. "Thermodynamic Merger of Fluctuation Theorem and Principle of Least Action: Case of Rayleigh–Taylor Instability." Journal of Non-Equilibrium Thermodynamics 44, no. 4 (October 25, 2019): 363–71. http://dx.doi.org/10.1515/jnet-2018-0091.

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AbstractEntropy fluctuations with time occur in finite-sized time-evolving dissipative systems. There is a need to comprehend the role of these fluctuations on the fluctuations-averaged entropy generation rate, over a large enough observation time interval. In this non-equilibrium thermodynamic investigation, the Fluctuation Theorem (FT) and Principle of Least Action are re-visited to articulate their implications for dissipative systems. The Principle of Maximum Entropy Production (MaxEP: the entropy generation rate of a dissipative system is maximized by paths of least action) is conceptually identified as the Principle of Least Action for dissipative systems. A Thermodynamic Fusion Theorem that merges the FT and the MaxEP is introduced for addressing the role of fluctuations in entropy production. It identifies “entropy fluctuations” as the “least-action path” for maximizing the time-averaged entropy production in a dissipative system. The validity of this introduced theorem is demonstrated for the case of entropy fluctuations in Rayleigh–Taylor flow instability.
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9

Kostoglotov, Andrey A., Anton S. Penkov, and Sergey V. Lazarenko. "Method for the Synthesis of Adaptive Algorithms for Estimating the Parameters of Dynamic Systems Based on the Decomposition Principle and the Joint Maximum Methodology." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 4 (208) (December 23, 2020): 22–28. http://dx.doi.org/10.18522/1026-2237-2020-4-22-28.

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A method of synthesis of a filter for estimating the state of dynamic systems of Kalman type with an adaptive model built on the basis of the principle of decomposition of the system using kinematic relations from the condition of constancy of motion invariants has been developed. The structure of the model is determined from the condition of the maximum function of the generalized power up to a nonlinear synthesizing function that determines the rate of dissipation and, accordingly, the degree of structural adaptation. The resulting model has an explicit relation with the gradient of the estimation error functional, which makes it possible to adapt to the intensity of regular and random influences and can be used to construct a filter for estimating the state of the Kalman structure. On the basis of the developed method, a discrete algorithm is obtained and its comparative analysis with the classical Kalman filter is carried out.
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10

IDO, Yasushi, and Takahiko TANAHASHI. "Determination of Constitutive Equations for Magnetic Fluids Using the Theory of Integrity Bases and the Principle of Maximal Dissipation Rate." JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties 33, no. 3 (1990): 468–75. http://dx.doi.org/10.1299/jsmeb1988.33.3_468.

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11

Volk, Tyler, and Olivier Pauluis. "It is not the entropy you produce, rather, how you produce it." Philosophical Transactions of the Royal Society B: Biological Sciences 365, no. 1545 (May 12, 2010): 1317–22. http://dx.doi.org/10.1098/rstb.2010.0019.

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The principle of maximum entropy production (MEP) seeks to better understand a large variety of the Earth's environmental and ecological systems by postulating that processes far from thermodynamic equilibrium will ‘adapt to steady states at which they dissipate energy and produce entropy at the maximum possible rate’. Our aim in this ‘outside view’, invited by Axel Kleidon, is to focus on what we think is an outstanding challenge for MEP and for irreversible thermodynamics in general: making specific predictions about the relative contribution of individual processes to entropy production. Using studies that compared entropy production in the atmosphere of a dry versus humid Earth, we show that two systems might have the same entropy production rate but very different internal dynamics of dissipation. Using the results of several of the papers in this special issue and a thought experiment, we show that components of life-containing systems can evolve to either lower or raise the entropy production rate. Our analysis makes explicit fundamental questions for MEP that should be brought into focus: can MEP predict not just the overall state of entropy production of a system but also the details of the sub-systems of dissipaters within the system? Which fluxes of the system are those that are most likely to be maximized? How it is possible for MEP theory to be so domain-neutral that it can claim to apply equally to both purely physical–chemical systems and also systems governed by the ‘laws’ of biological evolution? We conclude that the principle of MEP needs to take on the issue of exactly how entropy is produced.
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12

Ruban, Alexander V., and Erica Belgio. "The relationship between maximum tolerated light intensity and photoprotective energy dissipation in the photosynthetic antenna: chloroplast gains and losses." Philosophical Transactions of the Royal Society B: Biological Sciences 369, no. 1640 (April 19, 2014): 20130222. http://dx.doi.org/10.1098/rstb.2013.0222.

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The principle of quantifying the efficiency of protection of photosystem II (PSII) reaction centres against photoinhibition by non-photochemical energy dissipation (NPQ) has been recently introduced by Ruban & Murchie (2012 Biochim. Biophys. Acta 1817 , 977–982 ( doi:10.1016/j.bbabio.2012.03.026 )). This is based upon the assessment of two key parameters: (i) the relationship between the PSII yield and NPQ, and (ii) the fraction of intact PSII reaction centres in the dark after illumination. In this paper, we have quantified the relationship between the amplitude of NPQ and the light intensity at which all PSII reaction centres remain intact for plants with different levels of PsbS protein, known to play a key role in the process. It was found that the same, nearly linear, relationship exists between the levels of the protective NPQ component (pNPQ) and the tolerated light intensity in all types of studied plants. This approach allowed for the quantification of the maximum tolerated light intensity, the light intensity at which all plant leaves become photoinhibited, the fraction of (most likely) unnecessary or ‘wasteful’ NPQ, and the fraction of photoinhibited PSII reaction centres under conditions of prolonged illumination by full sunlight. It was concluded that the governing factors in the photoprotection of PSII are the level and rate of protective pNPQ formation, which are often in discord with the amplitude of the conventional measure of photoprotection, the quickly reversible NPQ component, qE. Hence, we recommend pNPQ as a more informative and less ambiguous parameter than qE, as it reflects the effectiveness and limitations of the major photoprotective process of the photosynthetic membrane.
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13

Chavanis, Pierre-Henri. "The Generalized Stochastic Smoluchowski Equation." Entropy 21, no. 10 (October 15, 2019): 1006. http://dx.doi.org/10.3390/e21101006.

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We study the dynamics of a system of overdamped Brownian particles governed by the generalized stochastic Smoluchowski equation associated with a generalized form of entropy and involving a long-range potential of interaction [P.H. Chavanis, Entropy 17, 3205 (2015)]. We first neglect fluctuations and provide a macroscopic description of the system based on the deterministic mean field Smoluchowski equation. We then take fluctuations into account and provide a mesoscopic description of the system based on the stochastic mean field Smoluchowski equation. We establish the main properties of this equation and derive the Kramers escape rate formula, giving the lifetime of a metastable state, from the theory of instantons. We relate the properties of the generalized stochastic Smoluchowski equation to a principle of maximum dissipation of free energy. We also discuss the connection with the dynamical density functional theory of simple liquids.
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14

IDO, Yasushi, and Takahiko TANAHASHI. "Determination of constitutive equations for magnetic fluids by using the theory of integrity bases and the principle of maximal dissipation rate." Transactions of the Japan Society of Mechanical Engineers Series B 55, no. 517 (1989): 2602–9. http://dx.doi.org/10.1299/kikaib.55.2602.

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15

Liu, Zhao Cun, Wei Jia Fan, Yao Chen Qin, and Wei Yang Yan. "From the Viewpoint of Water-Sediment Characters to Approach the General Criteria for Waterway Regulating with Complex Shoals." Applied Mechanics and Materials 405-408 (September 2013): 1407–10. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.1407.

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Compared with each other of existed schemes and effects of the waterway regulating with complex shoals, from the viewpoint of water-sediment interacting evolutional properties and their effects on complex shoals of waterway, the results show that, the evolutional processes of channel morphology observe the principles of maximum entropy in equilibrium state and minimum entropy production rate in non-equilibrium state, in energy words, it is the minimum energy dissipation rate. The vortex moving dominates the sediment transport. From the practical engineering viewpoint, the general criteria for waterway regulating with complex shoals were investigated, the results may be valuable to regulating study of the mountain rivers.
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16

Li, Xue Fei, Ai Xue Sha, Xu Huang, and Li Jun Huang. "The Optimal Selection of Extrusion Parameters of As-Cast TC27 Titanium Alloy Based on Processing-Map." Materials Science Forum 898 (June 2017): 1134–39. http://dx.doi.org/10.4028/www.scientific.net/msf.898.1134.

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The hot deformation behavior of TC27 titanium alloy at the temperatures of 900-1150 °C and the strain rate of 0.01-10 s-1, the height reduction of 70%, was investigated in the isothermal compression test to identify the optimal extrusion parameters. The processing-map of TC27 titanium alloy was constructed based on dynamic materials model (DMM) and principle of Prasad*s instability. The conclusion shows that temperature and strain rate of deformation had a great influence on flow stress. At the beginning of deformation, the flow stress increased quickly with the augment of true strain and decreased slowly after flow stress reaching to the maximum value. Finally, flow stress tended to relatively stable condition. The flow stress decreased with the increase of temperature and increased with the increase of strain rate. The TC27 titanium alloy was sensitive to temperature and strain rate. Processing-map exhibited two peak efficiencies of power dissipation; one peak was 49% at 900°C/0.01 s-1, which dynamic recovery occured. The other peak was also 49% at 1050 °C /0.01s-1, which dynamic recrystallization occured in the domain. Besides, there were two instability areas in the processing-map which should be avoided during the extrusion. Therefore, in order to obtain the satisfactory properties, the parameters that 1050 °C and 0.01 s-1 were selected in the extrusion.
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17

Lan, Ganhui, and Yuhai Tu. "The cost of sensitive response and accurate adaptation in networks with an incoherent type-1 feed-forward loop." Journal of The Royal Society Interface 10, no. 87 (October 6, 2013): 20130489. http://dx.doi.org/10.1098/rsif.2013.0489.

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The incoherent type-1 feed-forward loop (I1-FFL) is ubiquitous in biological regulatory circuits. Although much is known about the functions of the I1-FFL motif, the energy cost incurred in the network and how it affects the performance of the network have not been investigated. Here, we study a generic I1-FFL enzymatic reaction network modelled after the GEF–GAP–Ras pathway responsible for chemosensory adaptation in eukaryotic cells. Our analysis shows that the I1-FFL network always operates out of equilibrium. Continuous energy dissipation is necessary to drive an internal phosphorylation–dephosphorylation cycle that is crucial in achieving strong short-time response and accurate long-time adaptation. In particular, we show quantitatively that the energy dissipated in the I1-FFL network is used (i) to increase the system's initial response to the input signals; (ii) to enhance the adaptation accuracy at steady state; and (iii) to expand the range of such accurate adaptation. Moreover, we find that the energy dissipation rate, the catalytic speed and the maximum adaptation accuracy in the I1-FFL network satisfy the same energy–speed–accuracy relationship as in the negative-feedback-loop (NFL) networks. Because the I1-FFL and NFL are the only two basic network motifs that enable accurate adaptation, our results suggest that a universal cost–performance trade-off principle may underlie all cellular adaptation processes independent of the detailed biochemical circuit architecture.
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18

Jin, S., L. Deng, J. Yang, S. Sun, D. Ning, Z. Li, H. Du, and W. H. Li. "A smart passive MR damper with a hybrid powering system for impact mitigation: An experimental study." Journal of Intelligent Material Systems and Structures 32, no. 13 (January 24, 2021): 1452–61. http://dx.doi.org/10.1177/1045389x20988085.

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This paper presents a smart passive MR damper with fast-responsive characteristics for impact mitigation. The hybrid powering system of the MR damper, composed of batteries and self-powering component, enables the damping of the MR damper to be negatively proportional to the impact velocity, which is called rate-dependent softening effect. This effect can keep the damping force as the maximum allowable constant force under different impact speed and thus improve the efficiency of the shock energy mitigation. The structure, prototype and working principle of the new MR damper are presented firstly. Then a vibration platform was used to characterize the dynamic property and the self-powering capability of the new MR damper. The impact mitigation performance of the new MR damper was evaluated using a drop hammer and compared with a passive damper. The comparison results demonstrate that the damping force generated by the new MR damper can be constant over a large range of impact velocity while the passive damper cannot. The special characteristics of the new MR damper can improve its energy dissipation efficiency over a wide range of impact speed and keep occupants and mechanical structures safe.
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19

Britton, Samuel, Mark Alber, and William R. Cannon. "Enzyme activities predicted by metabolite concentrations and solvent capacity in the cell." Journal of The Royal Society Interface 17, no. 171 (October 2020): 20200656. http://dx.doi.org/10.1098/rsif.2020.0656.

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Experimental measurements or computational model predictions of the post-translational regulation of enzymes needed in a metabolic pathway is a difficult problem. Consequently, regulation is mostly known only for well-studied reactions of central metabolism in various model organisms. In this study, we use two approaches to predict enzyme regulation policies and investigate the hypothesis that regulation is driven by the need to maintain the solvent capacity in the cell. The first predictive method uses a statistical thermodynamics and metabolic control theory framework while the second method is performed using a hybrid optimization–reinforcement learning approach. Efficient regulation schemes were learned from experimental data that either agree with theoretical calculations or result in a higher cell fitness using maximum useful work as a metric. As previously hypothesized, regulation is herein shown to control the concentrations of both immediate and downstream product concentrations at physiological levels. Model predictions provide the following two novel general principles: (1) the regulation itself causes the reactions to be much further from equilibrium instead of the common assumption that highly non-equilibrium reactions are the targets for regulation; and (2) the minimal regulation needed to maintain metabolite levels at physiological concentrations maximizes the free energy dissipation rate instead of preserving a specific energy charge. The resulting energy dissipation rate is an emergent property of regulation which may be represented by a high value of the adenylate energy charge. In addition, the predictions demonstrate that the amount of regulation needed can be minimized if it is applied at the beginning or branch point of a pathway, in agreement with common notions. The approach is demonstrated for three pathways in the central metabolism of E. coli (gluconeogenesis, glycolysis-tricarboxylic acid (TCA) and pentose phosphate-TCA) that each require different regulation schemes. It is shown quantitatively that hexokinase, glucose 6-phosphate dehydrogenase and glyceraldehyde phosphate dehydrogenase, all branch points of pathways, play the largest roles in regulating central metabolism.
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20

Sonnino, Giorgio, and Jarah Evslin. "The minimum rate of dissipation principle." Physics Letters A 365, no. 5-6 (June 2007): 364–69. http://dx.doi.org/10.1016/j.physleta.2007.01.076.

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21

Hyon, Yunkyong, Do Young Kwak, and Chun Liu. "Energetic variational approach in complex fluids: Maximum dissipation principle." Discrete & Continuous Dynamical Systems - A 26, no. 4 (2010): 1291–304. http://dx.doi.org/10.3934/dcds.2010.26.1291.

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22

Hsieh, Chia-Yu, YunKyong Hyon, Hijin Lee, Tai-Chia Lin, and Chun Liu. "Transport of charged particles: Entropy production and Maximum Dissipation Principle." Journal of Mathematical Analysis and Applications 422, no. 1 (February 2015): 309–36. http://dx.doi.org/10.1016/j.jmaa.2014.07.078.

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23

Hackl, Klaus, and Franz Dieter Fischer. "On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2089 (October 16, 2007): 117–32. http://dx.doi.org/10.1098/rspa.2007.0086.

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We study the evolution of systems described by internal variables. After the introduction of thermodynamic forces and fluxes, both the dissipation and dissipation potential are defined. Then, the principle of maximum dissipation (PMD) and a minimum principle for the dissipation potential are developed in a variational formulation. Both principles are related to each other. Several cases are shown where both principles lead to the same evolution equations for the internal variables. However, also counterexamples are reported where such an equivalence is not valid. In this case, an extended PMD can be formulated.
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24

Shaikh, Dastgeer, B. Dasgupta, G. P. Zank, and Q. Hu. "Theory and simulations of principle of minimum dissipation rate." Physics of Plasmas 15, no. 1 (January 2008): 012306. http://dx.doi.org/10.1063/1.2828539.

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25

Seely, Andrew J. E. "Optimizing Our Patients’ Entropy Production as Therapy? Hypotheses Originating from the Physics of Physiology." Entropy 22, no. 10 (September 29, 2020): 1095. http://dx.doi.org/10.3390/e22101095.

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Understanding how nature drives entropy production offers novel insights regarding patient care. Whilst energy is always preserved and energy gradients irreversibly dissipate (thus producing entropy), increasing evidence suggests that they do so in the most optimal means possible. For living complex non-equilibrium systems to create a healthy internal emergent order, they must continuously produce entropy over time. The Maximum Entropy Production Principle (MEPP) highlights nature’s drive for non-equilibrium systems to augment their entropy production if possible. This physical drive is hypothesized to be responsible for the spontaneous formation of fractal structures in space (e.g., multi-scale self-similar tree-like vascular structures that optimize delivery to and clearance from an organ system) and time (e.g., complex heart and respiratory rate variability); both are ubiquitous and essential for physiology and health. Second, human entropy production, measured by heat production divided by temperature, is hypothesized to relate to both metabolism and consciousness, dissipating oxidative energy gradients and reducing information into meaning and memory, respectively. Third, both MEPP and natural selection are hypothesized to drive enhanced functioning and adaptability, selecting states with robust basilar entropy production, as well as the capacity to enhance entropy production in response to exercise, heat stress, and illness. Finally, a targeted focus on optimizing our patients’ entropy production has the potential to improve health and clinical outcomes. With the implications of developing a novel understanding of health, illness, and treatment strategies, further exploration of this uncharted ground will offer value.
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26

Preclik, Tobias, Sebastian Eibl, and Ulrich Rüde. "The maximum dissipation principle in rigid-body dynamics with inelastic impacts." Computational Mechanics 62, no. 1 (October 12, 2017): 81–96. http://dx.doi.org/10.1007/s00466-017-1486-0.

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27

Zhou, Li, and Yang Liu. "Optimization of Horizontal Plate Fin Heat Sink in Natural Convection for Electronics Cooling by Simulated Annealing Algorithm." Advanced Materials Research 1022 (August 2014): 91–95. http://dx.doi.org/10.4028/www.scientific.net/amr.1022.91.

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In this study, the simulated annealing (SA) algorithm was adopted to optimize the geometry of horizontal plate fin heat sink by the extreme entransy dissipation principle. The alculation of the entransy dissipation rate was presented in detail. Using the entransy dissipation rate as the objective condition, the geometry optimization of the fin heat sink was conducted. To verify the results, the heat source temperature and the entropy generation rate were also calculated in the procedure. It is found that the entrasy dissipation rate, entropy generation and heat source temperature have the similar trend. The extreme entransy dissipation principle and minimization of entropy generation play similar roles in the geometry optimization of plate fin heat sink.
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Xu, Guobin, Lina Zhao, and Chih Ted Yang. "Derivation and verification of minimum energy dissipation rate principle of fluid based on minimum entropy production rate principle." International Journal of Sediment Research 31, no. 1 (March 2016): 16–24. http://dx.doi.org/10.1016/j.ijsrc.2014.09.004.

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29

Deseri, L., and R. Mares. "A class of viscoelastoplastic constitutive models based on the maximum dissipation principle." Mechanics of Materials 32, no. 7 (July 2000): 389–403. http://dx.doi.org/10.1016/s0167-6636(00)00011-9.

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30

Moroz, Adam. "Cooperative and collective effects in light of the maximum energy dissipation principle." Physics Letters A 374, no. 19-20 (April 2010): 2005–10. http://dx.doi.org/10.1016/j.physleta.2010.02.066.

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31

Alimov, M. M. "Principle of minimum energy dissipation rate in steady Hele-Shaw flows." Fluid Dynamics 48, no. 4 (July 2013): 512–22. http://dx.doi.org/10.1134/s0015462813040108.

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32

Bertram, J. "Maximum kinetic energy dissipation and the stability of turbulent Poiseuille flow." Journal of Fluid Mechanics 767 (February 16, 2015): 342–63. http://dx.doi.org/10.1017/jfm.2015.65.

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AbstractFollowing Malkus’s (J. Fluid Mech., vol. 1, 1956, pp. 521–539) proposal that turbulent Poiseuille channel flow maximises total viscous dissipation $D$, a variety of variational procedures have been explored involving the maximisation of different flow quantities under different constraints. However, the physical justification for these variational procedures has remained unclear. Here we address more recent claims that mean flow viscous dissipation $D_{m}$ should be maximised on the basis of a statistical stability argument, and that maximising $D_{m}$ yields realistic mean velocity profiles (Malkus, J. Fluid Mech., vol. 489, 2003, pp. 185–198). We clarify the connection between maximising $D_{m}$ and other flow quantities, verify Malkus & Smith’s, (J. Fluid Mech., vol. 208, 1989, pp. 479–507) claim that maximising the ‘efficiency’ yields realistic profiles and show that, in contrast, maximising $D_{m}$ does not yield realistic mean velocity profiles as recently claimed. This leads us to revisit Malkus’s statistical stability argument for maximising $D_{m}$ and to address some of its limitations. We propose an alternative statistical stability argument leading to a principle of minimum kinetic energy for fixed pressure gradient, which suggests a principle of maximum $D$ for fixed Reynolds number under certain conditions. We discuss possible ways to reconcile these conflicting results, focusing on the choice of constraints.
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33

Moroz, Adam. "A Variational Framework for Nonlinear Chemical Thermodynamics Employing the Maximum Energy Dissipation Principle." Journal of Physical Chemistry B 113, no. 23 (June 11, 2009): 8086–90. http://dx.doi.org/10.1021/jp9015646.

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34

Wang, Yuqing, and Jing Xu. "Energy Production, Frictional Dissipation, and Maximum Intensity of a Numerically Simulated Tropical Cyclone*." Journal of the Atmospheric Sciences 67, no. 1 (January 1, 2010): 97–116. http://dx.doi.org/10.1175/2009jas3143.1.

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Abstract A tropical cyclone (TC) viewed as a heat engine converts heat energy extracted from the ocean into the kinetic energy of the TC, which is eventually dissipated due to surface friction. Since the energy production rate is a linear function while the frictional dissipation rate is a cubic power of surface wind speed, the dissipation rate is generally smaller than the production rate initially but increases faster than the production rate as the storm intensifies. When the dissipation rate eventually reaches the production rate, the TC has no excess energy to intensify. Emanuel hypothesized that a TC achieves its maximum potential intensity (E-MPI) when the surface frictional dissipation rate balances the energy production rate near the radius of maximum wind (RMW). Although the E-MPI agrees well with the maximum intensity of numerically simulated TCs in earlier axisymmetric models, the balance hypothesis near the RMW has not been evaluated. This study shows that the frictional dissipation rate in a numerically simulated mature TC is about 25% larger than the energy production rate near the RMW, while the dissipation rate is lower than the energy production rate outside the eyewall. This finding implies that the excess frictional dissipation under the eyewall should be partially balanced by the energy production outside the eyewall and thus the local balance hypothesis underestimates the TC maximum intensity. Both Lagrangian and control volume equivalent potential temperature (θe) budget analyses demonstrate that the energy gained by boundary layer inflow air due to surface entropy fluxes outside of and prior to interaction with the eyewall contributes significantly to the energy balance in the eyewall through the lateral inward energy flux. This contribution is further verified using a sensitivity experiment in which the surface entropy fluxes are eliminated outside a radius of 30–45 km, which leads to a 13.5% reduction in the maximum sustained near-surface wind speed and a largely reduced size of the model TC.
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35

Hackl, Klaus, Franz Dieter Fischer, and Jiri Svoboda. "A study on the principle of maximum dissipation for coupled and non-coupled non-isothermal processes in materials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2128 (July 28, 2010): 1186–96. http://dx.doi.org/10.1098/rspa.2010.0179.

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Onsager’s principle of maximum dissipation (PMD) has proven to be an efficient tool to derive evolution equations for the internal variables describing non-equilibrium processes. However, a rigorous treatment of PMD for several simultaneously acting dissipative processes is still open and presented in this paper. The coupling or uncoupling of the processes is demonstrated via the mathematical structure of the dissipation function. Examples are worked out for plastic deformation and heat flux.
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36

Gol'dshtik, M. A., A. V. Lebedev, and M. Kh Pravdina. "The maximum flow rate principle and vortex chamber aerodynamics." Fluid Dynamics 24, no. 3 (1989): 366–72. http://dx.doi.org/10.1007/bf01051575.

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37

de Angelis, Fabio, and Donato Cancellara. "Constitutive Equations for a Model of Nonlocal Plasticity which Complies with a Nonlocal Maximum Plastic Dissipation Principle." Applied Mechanics and Materials 217-219 (November 2012): 2362–66. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.2362.

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In the present paper constitutive equations for a nonlocal plasticity model are presented. Elasticity is considered to be governed by local forces so that only the dissipation processes are adopted as nonlocal. Differing from other proposed models in which the isotropic hardening/softening variables are considered as nonlocal, in the present paper the nonlocality is extended in order to include the kinematic hardening behaviour as well, so that both types of hardening (kinematic and isotropic) are considered as nonlocal. The present formulation satisfies a variational condition representing nonlocal maximum plastic dissipation. The proposed constitutive formulation of nonlocal plasticity is thus equipped with a sound variational basis.
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38

Huang, Zongliu, Guangtai Shi, Xiaobing Liu, and Haigang Wen. "Effect of Flow Rate on Turbulence Dissipation Rate Distribution in a Multiphase Pump." Processes 9, no. 5 (May 18, 2021): 886. http://dx.doi.org/10.3390/pr9050886.

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The turbulence dissipation will cause the increment of energy loss in the multiphase pump and deteriorate the pump performance. In order to research the turbulence dissipation rate distribution characteristics in the pressurized unit of the multiphase pump, the spiral axial flow type multiphase pump is researched numerically in the present study. This research is focused on the turbulence dissipation rate distribution characteristics in the directions of inlet to outlet, hub to rim, and in the circumferential direction of the rotating impeller blades. Numerical simulation based on the RANS (Reynolds averaged Navier–Stokes equations) and the k-ω SST (Shear Stress Transport) turbulence model has been carried out. The numerical method is verified by comparing the numerical results with the experimental data. Results show that the regions of the large turbulence dissipation rate are mainly at the inlet and outlet of the rotating impeller and static impeller, while it is almost zero from the inlet to the middle of outlet in the suction surface and pressure surface of the first-stage rotating impeller blades. The turbulence dissipation rate is increased gradually from the hub to the rim of the inlet section of the first-stage rotating impeller, while it is decreased firstly and then increased on the middle and outlet sections. The turbulence dissipation rate distributes unevenly in the circumferential direction on the outlet section. The maximum value of the turbulence dissipation rate occurs at 0.9 times of the rated flow rate, while the minimum value at 1.5 times of the rated flow rate. Four turning points in the turbulence dissipation rate distribution that are the same as the number of impeller blades occur at 0.5 times the blade height at 0.9 times the rated flow rate condition. The turbulence dissipation rate distribution characteristics in the pressurized unit of the multiphase pump have been studied carefully in this paper, and the research results have an important significance for improving the performance of the multiphase pump theoretically.
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39

Levitas, Valery I. "Principle of minimum dissipation rate at time t+Δt for the plastic spin." Mechanics Research Communications 24, no. 6 (November 1997): 639–48. http://dx.doi.org/10.1016/s0093-6413(97)00082-7.

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40

Amendola, Giovambattista, Mauro Fabrizio, Murrough Golden, and Barbara Lazzari. "Second-order approximation for heat conduction: dissipation principle and free energies." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2186 (February 2016): 20150707. http://dx.doi.org/10.1098/rspa.2015.0707.

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In the context of new models of heat conduction, the second-order approximation of Tzou's theory, derived by Quintanilla and Racke, has been studied recently by two of the present authors, where it was proved equivalent to a fading memory material. The importance of determining free energy functionals for such materials, and indeed for any material with memory, is emphasized. Because the kernel does not satisfy certain convexity restrictions that allow us to obtain various traditional free energies for materials with fading memory, it is necessary to restrict the study to the minimum and related free energies, which do not require these restrictions. Thus, the major part of this work is devoted to deriving an explicit expression for the minimum free energy. Simple modifications of this expression also give an intermediate free energy and the maximum free energy for the material. These derivations differ in certain important respects from earlier work on such free energies.
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41

Montgomery, David. "Relaxed States of MHD Turbulence: Minimum Dissipation or Minimum Energy?" Symposium - International Astronomical Union 142 (1990): 215–22. http://dx.doi.org/10.1017/s0074180900087969.

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Driven, dissipative MHD fluids often seem to undergo relaxation processes. After a turbulent formation phase, a geometrically simpler and less disordered configuration emerges. The best known example is the laboratory reversed-field pinch (RFP); similar field topologies have been proposed for solar prominences and astrophysical “flux ropes.” In a transient situation, the more rapid decay of kinetic and magnetic energy relative to magnetic helicity provides a mechanism for generating an MHD configuration with several similarities to observed RFP states. (This is the Taylor hypothesis, not unrelated to turbulent inverse magnetic cascades.) For the driven steady state, however, all quantities are supplied at the same time-averaged rate at which they are dissipated, by definition; nothing decays relative to anything else. Some other unifying principle, beyond “minimum energy” or “selective decay,” seems necessary to describe the results of driven, steady-state MHD computations. We have been attempting to adapt the principle of minimum energy dissipation rate to MHD. It is a 19th century principle that achieved some success in hydrodynamics and separately in dissipative electrodynamics.
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42

Gusev, Alexander O., and Leonid M. Martyushev. "An Evolution Based on Various Energy Strategies." Entropy 23, no. 3 (March 8, 2021): 317. http://dx.doi.org/10.3390/e23030317.

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The simplest model of the evolution of agents with different energy strategies is considered. The model is based on the most general thermodynamic ideas and includes the procedures for selection, inheritance, and variability. The problem of finding a universal strategy (principle) as a selection of possible competing strategies is solved. It is shown that when there is non-equilibrium between the medium and agents, a direction in the evolution of agents arises, but at the same time, depending on the conditions of the evolution, different strategies can be successful. However, for this case, the simulation results reveal that in the presence of significant competition of agents, the strategy that has the maximum total energy dissipation of agents arising as a result of evolution turns out to be successful. Thus, it is not the specific strategy that is universal, but the maximization of dissipation. This result discovers an interesting connection between the basic principles of Darwin–Wallace evolution and the maximum entropy production principle.
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43

Zehe, Erwin, Theresa Blume, and Günter Blöschl. "The principle of ‘maximum energy dissipation’: a novel thermodynamic perspective on rapid water flow in connected soil structures." Philosophical Transactions of the Royal Society B: Biological Sciences 365, no. 1545 (May 12, 2010): 1377–86. http://dx.doi.org/10.1098/rstb.2009.0308.

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Preferential flow in biological soil structures is of key importance for infiltration and soil water flow at a range of scales. In the present study, we treat soil water flow as a dissipative process in an open non-equilibrium thermodynamic system, to better understand this key process. We define the chemical potential and Helmholtz free energy based on soil physical quantities, parametrize a physically based hydrological model based on field data and simulate the evolution of Helmholtz free energy in a cohesive soil with different populations of worm burrows for a range of rainfall scenarios. The simulations suggest that flow in connected worm burrows allows a more efficient redistribution of water within the soil, which implies a more efficient dissipation of free energy/higher production of entropy. There is additional evidence that the spatial pattern of worm burrow density at the hillslope scale is a major control of energy dissipation. The pattern typically found in the study is more efficient in dissipating energy/producing entropy than other patterns. This is because upslope run-off accumulates and infiltrates via the worm burrows into the dry soil in the lower part of the hillslope, which results in an overall more efficient dissipation of free energy.
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44

Dong, Hongjie, and Dong Li. "On a generalized maximum principle for a transport-diffusion model with $\log$-modulated fractional dissipation." Discrete & Continuous Dynamical Systems - A 34, no. 9 (2014): 3437–54. http://dx.doi.org/10.3934/dcds.2014.34.3437.

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45

Moroz, Adam. "On a variational formulation of the maximum energy dissipation principle for non-equilibrium chemical thermodynamics." Chemical Physics Letters 457, no. 4-6 (May 2008): 448–52. http://dx.doi.org/10.1016/j.cplett.2008.04.050.

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46

Liu, Zi‐Kui. "Morphological stability of growing particles and maximum growth rate principle." Journal of Applied Physics 71, no. 10 (May 15, 1992): 4809–13. http://dx.doi.org/10.1063/1.350622.

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47

Lazic, Sanja, Dragana Sunjka, Srdjan Panic, Dusanka Indjic, Nada Grahovac, Valjria Guzsvbny, and Pavle Jovanov. "Dissipation rate of acetamiprid in sweet cherries." Pesticidi i fitomedicina 29, no. 1 (2014): 75–82. http://dx.doi.org/10.2298/pif1401075l.

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Degradation of acetamiprid in sweet cherry samples was evaluated at several intervals from the product application until the end of the pre-harvest interval. An orchard of sweet cherries located at Stepanovicevo village near Novi Sad was used in this study. Acetamiprid was applied according to the manufacturer?s recommendation for protecting sweet cherries from their most important pests. Sweet cherry fruit samples were collected at eight intervals: immediately after acetamiprid application and 2, 4, 6, 8, 10, 12 and 14 days after application. The extraction of acetamiprid from sweet cherry samples was performed using a QuEChERS-based method. Determination was carried out using an HPLC-UV diode array detection system (Agilent 1100, United States) with an Agilent Zorbax Eclipse C18 column (50 mm C 4.6 mm internal diameter, 1.8 ?m particle size). The method was subjected to a thorough validation procedure. The recovery data were obtained by spiking blank sweet cherry samples at three concentration levels (0.1-0.3 mg/ kg), yielding 85.4% average recovery. Precision values expressed as relative standard deviation (RSD) were below 1.61% for the intraday precision. Acetamiprid showed linear calibrations from 0.05 to 2.5 ?g/ml with correlation coefficient (R2) of 0.995%. The limit of detection and limit of quantification were found to be 5 ?g/kg and 14 ?g/kg, respectively. The validated method was applied in the analysis of acetamiprid in sweet cherry samples. During the study period, the concentration of acetamiprid decreased from 0.529 mg/kg to 0.111 mg/kg. The content of acetamiprid in sweet cherry samples at the end of the pre-harvest interval was below the maximum permissible level specified by the Serbian and EU MRLs.
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48

Sun, T., P. Meakin, T. Jøssang, and J. Feder. "Possible control of natural channel initiation processes by a minimum energy dissipation rate principle." Europhysics Letters (EPL) 36, no. 7 (December 1, 1996): 509–14. http://dx.doi.org/10.1209/epl/i1996-00261-y.

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49

Yang, Qinghua, and Qian Yang. "Experimental investigation of hydraulic characteristics and energy dissipation in a baffle-drop shaft." Water Science and Technology 82, no. 8 (September 15, 2020): 1603–13. http://dx.doi.org/10.2166/wst.2020.441.

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Abstract The baffle-drop shaft structure is usually applied in deep tunnel drainage systems to transfer shallow storm water to underground tunnels. At present, the definition of the maximum operational capacity of baffle-drop shafts is lack of scientific and reasonable analysis, and the researches on hydraulic and energy dissipation characteristics have been insufficient. In this paper, a 1:25 scale hydraulic model test was conducted to observe the flow phenomena during the discharge process, analyze the relationship between the maximum inflow discharge and the baffle parameters, and calculate the energy dissipation rate of the shaft under different flow conditions. The results demonstrated that three kinds of flow regimes were presented in the discharge process: wall-impact confined flow, critical flow, and free-drop flow. The impact wave majorly brought about the energy dissipation of water on the baffle. The impingement and breakup of the inflow at the bottom of the drop shaft, as well as the reverse flow, resulted in the final energy loss. The time-averaged pressure value of the upper baffle was 1.5–3 times that of the central and lower baffles. The baffle with a design angle could effectively reduce the time-averaged pressure of the water flow acting on the baffle. The energy dissipation rate of the drop shaft decreased with the increase in the inflow discharge, and the energy dissipation rate was found to range from about 63.14% to 96.40%. The optimal size of the baffle-drop shaft with the maximum energy dissipation rate was d/B = 0.485 and θ = 10° (d, B, and θ are the baffle spacing, width, and angle, respectively).
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50

Zheng, Jie, and Ai Qun Li. "Vibration Energy Dissipation Analysis of a Shear Wall Structure." Advanced Materials Research 671-674 (March 2013): 1509–13. http://dx.doi.org/10.4028/www.scientific.net/amr.671-674.1509.

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This paper studied on vibration energy dissipation analysis of a shear wall structure with viscous liquid dampers for reinforcement and reconstruction. Viscous liquid dampers and herringbone steel shotcrete were used for seismic control and the elastic-plastic time history analysis had been carried out. The results show that: the first layer shear force decreases. The minimal average damping rate of layer displacement in X direction is 4.68% and the maximum is 12.92%; the minimal average damping rate of layer displacement in Y direction is 6.47% and the maximum is 19.8%. So using viscous fluid dampers , the vibration response of the structure could be effectively reduced．
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