Academic literature on the topic 'Zero-Point Energy and Time Relaxation'

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Journal articles on the topic "Zero-Point Energy and Time Relaxation"

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Nagaev, K. É. "Equilibrium fluctuations in short superconducting contacts taking into account the finiteness of the energy relaxation time." Soviet Journal of Low Temperature Physics 12, no. 12 (1986): 700–701. https://doi.org/10.1063/10.0031617.

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The equilibrium fluctuations of the current and voltage in short superconducting point contacts are studied taking into account the fluctuations in the the energy distribution of the quasiparticles. The spectral density of current fluctuations in a superconducting ring, closed by a point superconducting contact, with an arbitrary quasiparticle energy relaxation time and the generation linewidth of short point contacts in the limit of short energy relaxation time are found. In this limit, taking into account the finiteness of the energy relaxation time leads to a reduction of the line-width.
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XU, JIANG. "ENERGY-TRANSPORT LIMIT OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS." Mathematical Models and Methods in Applied Sciences 20, no. 06 (2010): 937–54. http://dx.doi.org/10.1142/s0218202510004489.

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This paper is mainly devoted to study the energy-transport limit of a non-isentropic hydrodynamic model with momentum relaxation time τ and energy relaxation time σ. Inspired by the Maxwell iteration, we construct a new approximation under the assumption τσ = 1, and show that periodic initial-value problems of a certain scaled hydrodynamic model have unique smooth solutions in a finite time interval independent of τ. Furthermore, it is also obtained that as τ tends to zero, the smooth solutions converge to the smooth solutions of energy-transport models at the rate of τ2. The proof of these re
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Feng, Yuehong, Xin Li, and Shu Wang. "Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics." Asymptotic Analysis 120, no. 3-4 (2020): 301–18. http://dx.doi.org/10.3233/asy-191589.

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This paper is concerned with smooth solutions of the non-isentropic Euler–Poisson system for ion dynamics. The system arises in the modeling of semi-conductor, in which appear one small parameter, the momentum relaxation time. When the initial data are near constant equilibrium states, with the help of uniform energy estimates and compactness arguments, we rigorously prove the convergence of the system for all time, as the relaxation time goes to zero. The limit system is the drift-diffusion system.
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Ageeva N. N., Bronevoi I. L., Zabegaev D. N., and Krivonosov A. N. "9742." Semiconductors 56, no. 3 (2022): 296. http://dx.doi.org/10.21883/sc.2022.03.53062.9742.

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During high-power optical picosecond pumping of the GaAs layer of the Alx Ga1−x As−GaAs−Alx Ga1−x As heterostruc- ture, stimulated picosecond emission arises in it. It has been experimentally revealed how, upon saturation of the emission gain, the maximum energy density of its spectral component and the time to reach this density depend on the photon energy, on the parameters of the amplification and relaxation of the component. It follows from these dependences that the indicated density and time are influenced by the slowing down of the transport of nonequilibrium carriers in the energy spac
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Kaltenbacher, Barbara, and Vanja Nikolić. "The Jordan–Moore–Gibson–Thompson Equation: Well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time." Mathematical Models and Methods in Applied Sciences 29, no. 13 (2019): 2523–56. http://dx.doi.org/10.1142/s0218202519500532.

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In this paper, we consider the Jordan–Moore–Gibson–Thompson equation, a third-order in time wave equation describing the nonlinear propagation of sound that avoids the infinite signal speed paradox of classical second-order in time strongly damped models of nonlinear acoustics, such as the Westervelt and the Kuznetsov equation. We show well-posedness in an acoustic velocity potential formulation with and without gradient nonlinearity, corresponding to the Kuznetsov and the Westervelt nonlinearities, respectively. Moreover, we consider the limit as the parameter of the third-order time derivati
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BELITZ, D., SHARON L. SESSIONS, T. R. KIRKPATRICK, M. T. MERCALDO, R. NARAYANAN, and THOMAS VOJTA. "TRANSPORT ANOMALIES AND MARGINAL FERMI-LIQUID EFFECTS AT A QUANTUM CRITICAL POINT." International Journal of Modern Physics B 17, no. 28 (2003): 5041–45. http://dx.doi.org/10.1142/s021797920302017x.

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The behaviour of the conductivity and the density of states, as well as the phase relaxation time, of disordered itinerant electrons across a quantum ferromagnetic transition is discussed. It is shown that critical fluctuations lead to anomalies in the temperature and energy dependence of the conductivity and the tunnelling density of states, respectively, that are stronger than the usual weak-localisation anomalies in a disordered Fermi liquid. This can be used as an experimental probe of the quantum critical behaviour. The energy dependence of the phase relaxation time at criticality is show
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SIMIONATO, M. "RELAXING NEAR THE CRITICAL POINT." International Journal of Modern Physics A 16, supp01c (2001): 1274–76. http://dx.doi.org/10.1142/s0217751x0100951x.

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I present an analysis of the relaxation rate for long-wavelength fluctuations of the order parameter in an O(N) scalar theory near the critical point. Our motivation is to model the non-equilibrium dynamics of critical fluctuations near the chiral phase transition in QCD. In the next-to-leading order in the large N expansion we find a critical slowing down regime, i.e. an increasing of the relaxation time of long wavelengths fluctuations. This result suggests, for near critical systems, relevant deviations from thermal equilibrium for the distribution functions of low-energy particles and coul
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Ortuño, M., M. Pollak, and J. Talamantes. "LOW ENERGY EXCITATIONS AND NON-ERGODICITY IN THE COULOMB GLASS." International Journal of Modern Physics B 08, no. 07 (1994): 923–33. http://dx.doi.org/10.1142/s0217979294000476.

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Recent computational methods permit the determination of the low energy states of fair sized systems of localized interacting particles in random media. Making use of such methods, this paper evaluates the nature of the low-energy excitations of the system, and it’s implications on conductivity and on ergodicity. Two- and three-dimensional systems are examined. It is found that the low energy excitations exhibit strong correlation effects, indicating that one-particle theories for equilibrium and non-equilibrium properties are not justified. Ergodicity is tested by relaxation at zero temperatu
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Takahashi, Takuya, Haruka Ohuchi, Ryuji Nomura, and Yuichi Okuda. "Equilibrium shape of 4He crystal under zero gravity below 200 mK." Science Advances 1, no. 9 (2015): e1500825. http://dx.doi.org/10.1126/sciadv.1500825.

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Equilibrium crystal shape is the lowest energy crystal shape that is hardly realized in ordinary crystals because of their slow relaxation. 4He quantum crystals in a superfluid have been expected as unique exceptions that grow extremely fast at very low temperatures. However, on the ground, gravity considerably deforms the crystals and conceals the equilibrium crystal shape, and thus, gravity-free environment is needed to observe the equilibrium shape of 4He. We report the relaxation processes of macroscopic 4He crystals in a superfluid below 200 mK under zero gravity using a parabolic flight
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Crin-Barat, Timothée, Ling-Yun Shou, and Jin Tan. "Quantitative derivation of a two-phase porous media system from the one-velocity Baer–Nunziato and Kapila systems." Nonlinearity 37, no. 7 (2024): 075002. http://dx.doi.org/10.1088/1361-6544/ad3f66.

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Abstract We derive a novel two-phase flow system in porous media as a relaxation limit of compressible multi-fluid systems. Considering a one-velocity Baer–Nunziato system with friction forces, we first justify its pressure-relaxation limit toward a Kapila model in a uniform manner with respect to the time-relaxation parameter associated with the friction forces. Then, we show that the diffusely rescaled solutions of the damped Kapila system converge to the solutions of the new two-phase porous media system as the time-relaxation parameter tends to zero. In addition, we also prove the converge
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Dissertations / Theses on the topic "Zero-Point Energy and Time Relaxation"

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Bugler-Lamb, Samuel Lloyd. "The quantum vacuum near time-dependent dielectrics." Thesis, University of Exeter, 2017. http://hdl.handle.net/10871/29879.

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The vacuum, as described by Quantum Field Theory, is not as empty as classical physics once led us to believe. In fact, it is characterised by an infinite energy stored in the ground state of its constituent fields. This infinite energy has real, tangible effects on the macroscopic clusters of matter that make up our universe. Moreover, the configuration of these clusters of matter within the vacuum in turn influences the form of the vacuum itself and so forth. In this work, we shall consider the changes to the quantum vacuum brought about by the presence of time-dependent dielectrics. Such ch
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Books on the topic "Zero-Point Energy and Time Relaxation"

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Henriksen, Niels Engholm, and Flemming Yssing Hansen. Microscopic Interpretation of Arrhenius Parameters. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0008.

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This chapter reviews the microscopic interpretation of the pre-exponential factor and the activation energy in rate constant expressions of the Arrhenius form. The pre-exponential factor of apparent unimolecular reactions is, roughly, expected to be of the order of a vibrational frequency, whereas the pre-exponential factor of bimolecular reactions, roughly, is related to the number of collisions per unit time and per unit volume. The activation energy of an elementary reaction can be interpreted as the average energy of the molecules that react minus the average energy of the reactants. Speci
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Book chapters on the topic "Zero-Point Energy and Time Relaxation"

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Garashchuk, Sophya. "Calculation of the zero-point energy from imaginary-time quantum trajectory dynamics in Cartesian coordinates." In Perspectives on Theoretical Chemistry. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28445-8_7.

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Qasseer, Ola, Péter Bajor, and Norina Szander. "Shift to Low/Zero Emission Trucks: Research into Logistics Issues in the Hungarian Road Transport Sector." In Lecture Notes in Mobility. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-89444-2_12.

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Abstract In 2017, road transport in the EU accounted for 93% of the total energy consumption of inland transportation. 94% of this consumption was based on fossil fuels. Europe aims to achieve climate neutrality by 2050 by reducing greenhouse gas emissions. This research aims to examine the possible scenarios to support the spread of using alternative fuel trucks including electrification by the wider range of hauliers in Hungary by analyzing the suggestions and applied best practices. Any solution to be applicable requires modifications to suit other countries; therefore, we present the role
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Mearns, Linda O., and Robert L. Wilby. "Acting with Uncertainty: Reflecting on a Decade of Rapid Progress in Climate Policy, Research and Practice." In Uncertainty in Climate Change Research. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-85542-9_26.

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Abstract The last decade has witnessed huge advances in climate policy, science and practice, assisted by technologies such as artificial intelligence, machine learning, cloud computing and Earth observation. This chapter outlines important developments in each realm, noting where there is now more or less uncertainty. For policy, the 2015 Paris Agreement set in play new instruments for both mitigating and adapting to climate change at national levels. But stubborn uncertainties around climate sensitivity still hamper efforts to relate emission reduction pathways to avoided impacts. At the sca
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Sawada, Ken, and Takashi Suzuki. "Relaxation Dynamics of Point Vortices." In Vortex Dynamics - From Physical to Mathematical Aspects [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.100585.

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We study a model describing relaxation dynamics of point vortices, from quasi-stationary state to the stationary state. It takes the form of a mean field equation of Brownian point vortices derived from Chavanis, and is formulated by our previous work as a limit equation of the patch model studied by Robert-Someria. This model is subject to the micro-canonical statistic laws; conservation of energy, that of mass, and increasing of the entropy. We study the existence and nonexistence of the global-in-time solution. It is known that this profile is controlled by a bound of the negative inverse t
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Fabbrini, Federico. "To ‘insure domestic tranquility’." In The EU Constitution in Time of War. Oxford University PressOxford, 2025. https://doi.org/10.1093/oso/9780198963486.003.0005.

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Abstract Chapter 5 analyses the EU’s response to the war in Ukraine in the field of energy and industrial policy, examining whether the EU’s constitution has insured domestic tranquility. The chapter maps the core measures that the EU enacted to mitigate the skyrocketing prices of energy, to speed up the green transition and repower the EU with renewable energies; and to develop a new industrial policy for the net-zero age. The chapter discusses the consequences of these measures. Nevertheless, the chapter also underlines how measures adopted to tackle the energy crisis have raised domestic le
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Chen, Gang. "Classical Size Effects." In Nanoscale Energy Transport And Conversion. Oxford University PressNew York, NY, 2005. http://dx.doi.org/10.1093/oso/9780195159424.003.0007.

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Abstract In section 6.3.6, we discussed the premises of the diffusion laws. Generally, for the diffusion laws to be applicable, the length scale of the structures in which the transport occurs must be much larger than the mean free path and the time scale of the process must be much longer than the relaxation time. When one or both of these conditions is violated, the transport can no longer be described by diffusion theory. Chapter 5 examined interface and size effects from the wave propagation point of view. In this chapter, we will study size effects on transport processes by treating energ
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Biliuk, Anatolii, and Olena Diachynska. "THE APPLIED ORIENTATION OF THE PHYSICS COURSE AS AN EFFECTIVE TOOL FOR FORMING THE PROFESSIONAL COMPETENCE MODEL OF FUTURE TECHNOLOGICAL ENGINEERS." In Modern educational technologies in the training of specialists in the agricultural sector during the crisis. Publishing House “Baltija Publishing”, 2023. http://dx.doi.org/10.30525/978-9934-26-298-2-1.

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Reliability of structures is the most important problem in modern meсhanical engineering. Its solution poses the task of creating materials with high stable physical, mechanical, chemical and other properties. The materials that make up the basis of structures are, as a rule, operated in variable fields of various nature (mechanical, temperature, etc.), therefore they continuously change their properties. In this regard, progress in the field of mechanical engineering cannot be achieved without full knowledge of the real structure of materials, without a deep understanding of the microprocesse
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Ross, John, Igor Schreiber, and Marcel O. Vlad. "Response of Systems to Pulse Perturbations." In Determination of Complex Reaction Mechanisms. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780195178685.003.0007.

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Consider a chemical reaction system with many chemical species; it may be in a transient state but it is easier to think of it in a stable stationary state, not necessarily but usually away from equilibrium. We wish to probe the responses of the concentrations of the chemical species to a pulse perturbation of one of the chemical species. The pulse need not be small; it can be of arbitrary magnitude. This is analogous to providing a given input to one variable of an electronic system and measuring the outputs of the other variables. The method presented in this chapter gives causal connectivit
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Jordan, D. W., and P. Smith. "Liapunov methods for determining stability of the zero solution." In Nonlinear Ordinary Differential Equations. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199208241.003.0010.

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Abstract In Chapter 1, we described the ‘energy method ‘ for determining that an equilibrium point at the origin is an attractor, in connection with simple systems that allow a discussion in terms of the change in energy levels along the phase paths as time progresses. The Liapunov theory described in this chapter may be regarded as a development of this idea. It has no necessary connection with energy, concerns solution stability rather than Poincaré stability, and has a broader field of application. We discuss only two-dimensional autonomous systems in detail, but the theory can be extended
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Xie, Z., B. J. Braams, and J. M. Bowman. "Ab initio global potential-energy surface." In Quantum Monte Carlo. Oxford University PressNew York, NY, 2007. http://dx.doi.org/10.1093/oso/9780195310108.003.00161.

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Abstract The reactions Ht -+ Hf + H2, H4D+ -+ Hf + HD, H4D+ -+ H2D+ + H2, and Hf + HD -+ H2D+ + H2 are important in the chemistry of interstellar space. Each corresponds to motion on the rather complicated nine-dimensional five-body potential energy surface of the cation Ht which has permutational invariance of the H atoms. In the study reported in this paper the potential energy surface was generated not by QMC methods but by coupled cluster calculations with a large basis set, i.e., CCSD(T)/aug-cc-pVTZ. The QMC aspect of the study is in the determination of zero-point energies for the Ht, Hf
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Conference papers on the topic "Zero-Point Energy and Time Relaxation"

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Metzger, D. R., and S. Gao. "Subcycled Hourglass Control for Explicit Time Integration of Dynamic Relaxation Equations." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1285.

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Explicit methods, such as the central difference operator, rely on the economical evaluation of internal forces at each time step of a transient dynamic problem. One-point quadrature applied to the spatial discretization provides the greatest efficiency, but hourglass control is required to eliminate spurious zero energy modes. Computationally practical hourglass control methods involve considerable approximation in evaluating the internal force. Thus, a small additional approximation due to an alternative temporal integration of the hourglass force may not seriously affect the accuracy of the
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Sharma, Kal Renganathan. "On Relativistic Transformation of Coordinates and Exact Solution of Damped Wave Conduction and Relaxation Equation." In ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/ht2008-56121.

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Analytical solution to the hyperbolic damped wave conduction and relaxation equation is developed by a novel method called the relativistic transformation method. The hyperbolic PDE is decomposed into a time decaying damping component and a Klein-Gardon type equation for the wave temperature. The PDE that describes the wave temperature is transformed to a Bessel differential equation by using the relativistic transformation. The relativistic transformation, η = τ2 − X2 is symmetric in space and time. The solution obtained for the transient temperature to a semi-infinite medium was compared wit
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Pan, Li, Don R. Metzger, and Marek Niewczas. "The Meshless Dynamic Relaxation Techniques for Simulating Atomic Structures of Materials." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1284.

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Traditionally, Molecular Dynamics combined with pair potential functions or the Embedded Atom Method (EAM) is applied to simulate the motion of atoms. When a defect is generated in the crystalline lattice, the equilibrium of atoms around it is destroyed. The atoms move to find a new place where the potential energy in the system is minimum, which could result in a change of the local atomic structure. The present paper introduces new Dynamic Relaxation algorithm, which is based on explicit Finite Element Analysis, and pair or EAM potential function, to find equilibrium positions of the block o
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Loy, James M., Ajay Vadakkepatt, Sanjay R. Mathur, and Jayathi Y. Murthy. "A Fast Coupled Solver for Phonon Transport in Composites." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17302.

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In recent years, computational techniques for solving phonon transport have been developed under the framework of the semiclassical Boltzmann Transport Equation (BTE). Early work addressed gray transport, but more recent work has begun to resolve wave vector and polarization dependence, including that in relaxation times. Because the relaxation time in typical materials of interest spans several orders of magnitude, typical solution techniques must address an enormous range of Knudsen numbers in the same problem. Calculation procedures which solve the BTE in phase space sequentially work well
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Cano-Andrade, Sergio, Michael R. von Spakovsky, and Gian Paolo Beretta. "Steepest-Entropy-Ascent Quantum Thermodynamic Non-Equilibrium Modeling of Decoherence of a Composite System of Two Interacting Spin-½ Systems." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63596.

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The equation of motion of steepest-entropy-ascent quantum thermodynamics (SEA-QT) was first postulated in the early 1980s with the intent of modeling the non-linear dynamic behavior encountered in nature, which the unitary (linear) dynamics of the Schrödinger-von Neumann equation cannot. The SEA-QT equation is used here to model the decoherence phenomenon between two distinguishable and indivisible elementary constituents of type spin–½ (e.g., quantum bits or qubits). The resulting set of non-linear, first-order differential equations is solved with a fourth-order-Runge-Kutta routine provided
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Jaiswal, Shivendra Kumar, and Jitendra Kumar. "Sol-Gel Synthesis and Magnetic, Optical and Impedance Behaviour of Strontium Ferrite Powder." In ASME 2011 International Manufacturing Science and Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/msec2011-50067.

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An attempt has been made to synthesize SrFeO3-δ powder by sol-gel process involving oxalate formation, its digestion for 4h, drying at 150°C for 24h, and decomposition at 800°C for 10h. The resulting powder is shown to a) exhibit a single phase with a perovskite-type cubic structure and lattice parameter a = 3.862±0.002A˚, b) contain irregular shape particles, and c) display optical absorption peaks corresponding to charge transfer from oxygen to iron (3.73 and 3.41eV), t2g to eg transition of Fe3+ (1.57eV), and crystal field (3d-3d) charge transfer of Fe3+ (1.25eV). Impedance over a wide freq
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Li, Zheng, Mo Yang, and Yuwen Zhang. "Lattice Boltzmann Method Simulation of 3-D Melting Using Double MRT Model With Interfacial Tracking Method." In ASME 2016 Heat Transfer Summer Conference collocated with the ASME 2016 Fluids Engineering Division Summer Meeting and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ht2016-7407.

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Three-dimensional melting problems are investigated numerically with Lattice Boltzmann method (LBM). Regarding algorithm’s accuracy and stability, Multiple-Relaxation-Time (MRT) models are employed to simplify the collision term in LBM. Temperature and velocity fields are solved with double distribution functions, respectively. 3-D melting problems are solved with double MRT models for the first time in this article. The key point for the numerical simulation of a melting problem is the methods to obtain the location of the melting front and this article uses interfacial tracking method. The i
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Cunha, F. J., M. T. Dahmer, and M. K. Chyu. "Thermal-Mechanical Life Prediction System for Anisotropic Turbine Components." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-68107.

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Modern gas turbine engines provide large amounts of thrust and withstand severe thermal-mechanical conditions during the load and mission operations characterized by cyclic transients and long dwell times. All these operational factors can be detrimental to the service life of turbine components and need careful consideration. Engine components subject to the harshest environments are turbine high-pressure vanes and rotating blades. Therefore, it is necessary to develop a turbine component three-dimensional life prediction system, which accounts for mission transients, anisotropic material pro
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Bordakov, G. A., S. Utsuzawa, D. F. Allen, et al. "New NMR Porosity Correction Algorithm for Steady-State Buildup Effect in Unconventional Reservoirs." In SPE Annual Technical Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/214766-ms.

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Abstract Nuclear magnetic resonance (NMR) logging for subsurface exploration is gaining acceptance as an everyday measurement for conventional and unconventional reservoirs, as well as new energy applications such as carbon storage and geothermal formation evaluation. Out of many NMR sensor designs, ones with a saddle-point magnetic field profile have gained broad acceptance because of their short echo spacing and many operational advantages. Despite bringing advantages, the saddle-point design can lead to systematic overestimation of porosity in combination with T1-T2 logging, which has been
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Ingraham, M. D., and A. Ghassemi. "Anelastic Strain Recovery as a Measure of in Situ Stresses at FORGE." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-0537.

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ABSTRACT: Anelastic strain recovery, the process of measuring the time dependent recovered strain after a core is cut at depth was utilized to make a measure of the in-situ properties stresses at depth at the FORGE (Frontier Observatory for Research in Geothermal Energy) site in Milford Utah. Core was collected from a region of well 16B at approximately 4860-4870 ft. Core was instrumented with strain gages within 10 hours of the core being cut. The relaxation of the cores was measured for approximately one month, and the results analyzed, which showed that the principal stresses were slightly
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