Relevant bibliographies by topics / Theorem of medium value for integral

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Theorem of medium value for integral'

Author: Grafiati
Published: 7 September 2021
Last updated: 6 February 2022

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Journal articles on the topic "Theorem of medium value for integral"

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Liu, Haitao. "Basic solution of two collinear mode-I cracks in the orthotropic medium by use of the non-local theory." Multidiscipline Modeling in Materials and Structures 13, no. 1 (2017): 100–115. http://dx.doi.org/10.1108/mmms-05-2016-0020.

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Purpose The purpose of this paper is to present the basic solution of two collinear mode-I cracks in the orthotropic medium by the use of the non-local theory. Design/methodology/approach Meanwhile, the generalized Almansi’s theorem and the Schmidt method are used. By the Fourier transform, it is converted to a pair of dual integral equations. Findings Numerical examples are provided to show the effects of the crack length, the distance between the two collinear cracks and the lattice parameter on the stress field near the crack tips in the orthotropic medium. Originality/value The present sol
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Voropay, Alexey. "USING OPERATOR METHOD AND EFROS TRANSFORM FOR TAKING INTO ACCOUNT DISSIPATIVE PROPERTIES OF DEFORMABLE STRUCTURAL ELEMENTS." Vibrations in engineering and technology, no. 3(94) (November 26, 2019): 83–90. http://dx.doi.org/10.37128/2306-8744-2019-3-11.

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An approach for taking into account the dissipative properties of deformable structural elements (and in particular internal friction in the material) is proposed. This approach, based on the operator method and Efros transformation, is applied to analytical solutions obtained in the framework of elasticity theory, which can be represented as integrals of convolution type. The direct Laplace transform is applied to the operator equation. It is shown in the paper that changing to the Laplace variable enables one to pass from the relations taking into account dissipation energy to those for an e
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Zaman, F. D., and R. Al-Khairy. "Cooling of a layered plate under mixed conditions." Journal of Applied Mathematics and Stochastic Analysis 13, no. 2 (2000): 197–206. http://dx.doi.org/10.1155/s1048953300000204.

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We consider the temperature distribution in an infinite plate composed of two dissimilar materials. We suppose that half of the upper surface (y=h,−∞<x<0) satisfies the general boundary condition of the Neumann type, while the other half (y=h,0<x<∞) satisfies the general boundary condition of the Dirichlet type. Such a plate is allowed to cool down on the lower surface with the help of a fluid medium which moves with a uniform speed v and which cools the plate at rate Ω. The resulting mixed boundary value problem is reduced to a functional equation of the Wiener-Hopf type by use of
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Podhornyj, O. R., and M. V. Sidorov. "Mathematical modeling of fluid flows through the piecewise homogeneous porous medium by R-function method." Mathematical Modeling and Computing 8, no. 3 (2021): 499–508. http://dx.doi.org/10.23939/mmc2021.03.499.

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The stationary fluid flow through a piecewise homogeneous porous medium is considered under the assumption that Darcy's law holds. The mathematical model of this problem is defined as an elliptic equation for the stream function, supplemented by the second-type boundary conditions at the water boundaries and the first-type boundary conditions at the impervious to liquid boundaries. The problem statement also includes the conditions of conjugation at the separation line between two soils and the unknown value of fluid discharge, which can be established from the additional integral ratio. It is
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Pejovic, Branko, Vladan Micic, Mitar Perusic, Goran Tadic, Ljubica Vasiljevic, and Slavko Smiljanic. "Proposal for determining changes in entropy of semi ideal gas using mean values of temperature functions." Chemical Industry 68, no. 5 (2014): 615–28. http://dx.doi.org/10.2298/hemind130825090p.

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In a semi-ideal gas, entropy changes cannot be determined through the medium specific heat capacity in a manner as determined by the change of internal energy and enthalpy, i.e. the amount of heat exchanged. Taking this into account, the authors conducted two models through which it is possible to determine the change in the specific entropy of a semi-ideal gas for arbitrary temperature interval using the spread sheet method, using the mean values of the appropriate functions. The idea is to replace integration, which occurs here in evitably, with mean values of the previous functions. The mod
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Chen, S. L. "Three-dimensional analytical poromechanical solutions for an arbitrarily inclined borehole subjected to fluid injection." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2221 (2019): 20180658. http://dx.doi.org/10.1098/rspa.2018.0658.

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Hydraulic fracturing is the primary method of stimulation in unconventional reservoirs, playing a significant role in oil and gas production enhancement. A key issue for the analysis of hydraulic fracture initiation is to accurately determine the stress distributions in the vicinity of the borehole caused by the injection of pressurized fluids. This paper develops an exact, three-dimensional, poroelastic coupled analytical solution for such stress analysis of an arbitrarily inclined borehole subjected concurrently to a finite-length fluid discharge and in situ stresses, using Fourier expansion
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Grabmaier, Sebastian, Matthias Jüttner, and Wolfgang Rucker. "Coupling of finite element method and integral formulation for vector Helmholtz equation." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 4 (2018): 1405–17. http://dx.doi.org/10.1108/compel-08-2017-0346.

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Purpose Considering the vector Helmholtz equation in three dimensions, this paper aims to present a novel approach for coupling the finite element method and a boundary integral formulation. It is demonstrated that the method is well-suited for many realistic three-dimensional problems in high-frequency engineering. Design/methodology/approach The formulation is based on partial solutions fulfilling the global boundary conditions and the iterative interaction between them. In comparison to other coupling formulation, this approach avoids the typical singularity in the integral kernels. The app
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Wang, Xiaojuan, Shejuan Xie, Yong Li, and Zhenmao Chen. "Efficient numerical simulation of DC potential drop signals for application to NDT of metallic foam." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, no. 1/2 (2013): 147–56. http://dx.doi.org/10.1108/compel-10-2012-0236.

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Purpose – Direct current potential drop (DCPD) testing is a potential nondestructive testing method for quality control of the metallic foam (MF). The purpose of this paper is to develop a numerical technique for the efficient simulation of the DCPD signals of MFs with defects with boundary of complicated shapes. Design/methodology/approach – The concept of multi-medium element (MME) is introduced to treat the boundary of complex-shaped defect. A classification scheme of Gauss integral points is also proposed to select the Gauss points that have to be taken into account in the integral calcula
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Nikonorov, Yu G. "On the integral mean value theorem." Siberian Mathematical Journal 34, no. 6 (1993): 1135–37. http://dx.doi.org/10.1007/bf00973476.

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Ovan, A. Saputra, and N. Tasni. "Integral mean value theorem for discontinuous function." Journal of Physics: Conference Series 1918, no. 4 (2021): 042033. http://dx.doi.org/10.1088/1742-6596/1918/4/042033.

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Dissertations / Theses on the topic "Theorem of medium value for integral"

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Reis, Valdir Delgado dos. "Teoremas do valor médio e intermédio." Master's thesis, 2020. http://hdl.handle.net/10400.2/10071.

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O Teorema do valor médio e o Teorema do valor intermédio são importantes teoremas muito usados no Cálculo integral e diferencial e não só. Neste trabalho estamos muito interessados em perceber estes teoremas, estudá-los profundamente e perceber qual o contributo dos mesmos. Para isso, visto que estão diretamente interligados com continuidade, derivadas e integrais, tivemos necessidade de ir à origem no século XVII perceber como surgiu o Cálculo pelas mãos de Isaac Newton e Gottfried Leibniz para posteriormente compreender de forma mais integral o Teorema do valor médio e o Teorema do va
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Books on the topic "Theorem of medium value for integral"

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Kachelriess, Michael. Global symmetries and Noether’s theorem. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0005.

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Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.
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Mann, Peter. Vector Calculus. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0034.

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This chapter gives a non-technical overview of differential equations from across mathematical physics, with particular attention to those used in the book. It is a common trend in physics and nature, or perhaps just the way numbers and calculus come together, that, to describe the evolution of things, most theories use a differential equation of low order. This chapter is useful for those with no prior knowledge of the differential equations and explains the concepts required for a basic exposition of classical mechanics. It discusses separable differential equations, boundary conditions and
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Book chapters on the topic "Theorem of medium value for integral"

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Alexeyeva, Lyudmila, and Yergali Kurmanov. "Generalized and Fundamental Solutions of Motion Equations of Two-Component Biot’s Medium." In Mathematical Theorems - Boundary Value Problems and Approximations. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.92064.

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Here processes of wave propagation in a two-component Biot’s medium are considered, which are generated by arbitrary forces actions. By using Fourier transformation of generalized functions, a fundamental solution, Green tensor, of motion equations of this medium has been constructed in a non-stationary case and in the case of stationary harmonic oscillation. These tensors describe the processes of wave propagation (in spaces of dimensions 1, 2, 3) under an action of power sources concentrated at coordinates origin, which are described by a singular delta-function. Based on them, generalized solutions of these equations are constructed under the action of various sources of periodic and non-stationary perturbations, which are described by both regular and singular generalized functions. For regular acting forces, integral representations of solutions are given that can be used to calculate the stress-strain state of a porous water-saturated medium.
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A. Alexeyeva, Lyudmila, and Gulmira K. Zakiryanova. "Singular Boundary Integral Equations of Boundary Value Problems for Hyperbolic Equations of Mathematical Physics." In Mathematical Theorems - Boundary Value Problems and Approximations. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.92449.

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The method of boundary integral equations is developed for solving the nonstationary boundary value problems (BVP) for strictly hyperbolic systems of second-order equations, which are characteristic for description of anisotropic media dynamics. The generalized functions method is used for the construction of their solutions in spaces of generalized vector functions of different dimensions. The Green tensors of these systems and new fundamental tensors, based on it, are obtained to construct the dynamic analogues of Gauss, Kirchhoff, and Green formulas. The generalized solution of BVP has been constructed, including shock waves. Using the properties of integrals kernels, the singular boundary integral equations are constructed which resolve BVP. The uniqueness of BVP solution has been proved.
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Roach, G. F., I. G. Stratis, and A. N. Yannacopoulos. "Towards a Scattering Theory." In Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691142173.003.0010.

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This chapter indicates how scattering theories can be developed when wave motions in chiral media are studied. To begin, this chapter remarks that a scattering process describes the effects of a perturbation on a system about which everything is known in the absence of the perturbation. It then presents a general formulation of the class of problems thus described in terms of evolution operators, and outlines an approach to scattering theory in the time domain. The chapter also shows how the use of spectral theory allows the explicit construction of solutions to abstract initial boundary value problems in terms of generalised integral transforms, and how these generalised integral transforms can be used for the construction of the wave operators and the scattering operator. Furthermore, this chapter explores the extension of these ideas to the study of electromagnetics of complex media.
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Taifi, Nouha, and Khaddouj Gharbi. "Technology Integration in Strategic Management." In Social E-Enterprise. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2667-6.ch015.

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The micro-financing sector is considered as one of the most important environments contributing to poverty reduction and to the creation of new small and medium enterprises, thus creating new value for high economic performance. Also, in the actual digital environment, each organization tends to use information and communication technologies for the optimization of the work activities and processes of collaboration. So, the main objective of this book chapter is to demonstrate the important role of technology integration in the micro-financing sector strategic management. Through a case study related to a strategic network of micro-financing institutions that develop and integrate technologies in their strategic management, the most important pillars of social value creation of information and communication technologies are identified in this chapter. Furthermore, the results of the research demonstrate the impact of IT integration in the micro-financing sector and derive a theory and a methodology for the development of IT integration and usage in this sector.
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Quintard, Michel, and Stephen Whitaker. "Fundamentals of Transport Equation Formulation for Two-Phase Flow in Homogeneous and Heterogeneous Porous Media." In Vadose Zone Hydrology. Oxford University Press, 1999. http://dx.doi.org/10.1093/oso/9780195109900.003.0005.

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Most porous media of practical importance are hierarchical in nature; that is, they are characterized by more than one length-scale. When these length-scales are disparate, the hierarchical structure can be analyzed by the method of volume averaging (Anderson and Jackson, 1967; Marie, 1967; Slattery, 1967; Whitaker, 1967). In this approach, macroscopic quantities at a given length-scale are defined in terms of a boundary value problem that describes the phenomena at a smaller length-scale, and information is filtered from one scale to another by a series of volume and area integrals. Other methods, such as ensemble averaging (Matheron, 1965; Dagan, 1989) or homogenization theory (Bensoussan et al, 1978; Sanchez-Palencia, 1980), have been used to study hierarchical systems, and developments specific to the problems under consideration in this chapter can be found in Bourgeat (1984), Auriault (1987), Amaziane and Bourgeat (1988), and Sáez et al. (1989). The transformation from the Darcy scale to the large scale is a recurrent problem in reservoir and aquifer engineering. A detailed description of reservoir properties is available through geostatistical analysis (Journel, 1996) on a fine grid with a length-scale much smaller than the scale of the blocks in the reservoir simulator. “Effective” or “pseudo” properties are assigned to the coarse grid blocks, while the forms of the large-scale equations are required to be the same as those used at the Darcy scale (Coats et al., 1967; Hearn, 1971; Jacks et al., 1972; Kyte and Berry, 1975; Dake, 1978; Killough and Foster, 1979; Yokoyama and Lake, 1981; Kortekaas, 1983; Thomas, 1983; Kossack et al., 1990). A detailed discussion of the comparison between the several approaches is beyond the scope of this chapter; however, one can read Bourgeat et al. (1988) for an introductory comparison between the method of volume averaging and the homogenization theory, and Ahmadi et al. (1993) for a discussion of the various classes of pseudofunction theories.
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Kramchynski, Robert. "Quality as Presentation." In The Paideia Archive: Twentieth World Congress of Philosophy. Philosophy Documentation Center, 1998. http://dx.doi.org/10.5840/wcp20-paideia1998112.

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The underlying thesis examined here maintains that meaning is simply subjective value which has been presented (i.e., enlarged or made explicit) in words or in some other plastic or static medium. This presentation of meaning consists in the extending of what is felt by the creator-subject to the other subjects. Although this extension of the primary agent may be the very thing which ultimately creates the space from where reflection might occur, the act of expression itself is not explicitly reflective. In other words, one might say that integral meaning is not reflective but rather is purely informing, while reflective meaning has to some degree lost its integrity. Working from these basic claims, I will examine how quality (or qualification) and quantity (or quantification) are related as functions of the languages of art and of science.
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Conference papers on the topic "Theorem of medium value for integral"

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Morovati, Vahid, and Roozbeh Dargazany. "An Improved Non-Gaussian Statistical Theory of Rubber Elasticity for Short Chains." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-88234.

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The mechanical behavior of polymers has long been described by the non-Gaussian statistical model. Non-Gaussian models are generally based on the Kuhn-Grün (KG) distribution function, which itself is derived from the first order approximation of the complex Rayleigh’s exact Fourier integral distribution. The KG function has gained such a broad acceptance in the field of polymer physics that the non-Gaussian theory is often used to describe chains with various flexibility ratios. However, KG function is shown to be only relevant for long chains, with more than 40 segments. Here, we propose a ne
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Huang, Yong. "Research on Extensions and Applications of Integral Mean Value Theorem." In 2017 4th International Conference on Machinery, Materials and Computer (MACMC 2017). Atlantis Press, 2018. http://dx.doi.org/10.2991/macmc-17.2018.2.

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Pei, Hongmei, Xuanhai Li, and Jielin Shang. "Two Methods of Proving the Improved Mean Value Theorem of Integral." In International Conference on Education, Management, Computer and Society. Atlantis Press, 2016. http://dx.doi.org/10.2991/emcs-16.2016.132.

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Rungamornrat, Jaroon, Mary F. Wheeler, and Xiuli Gai. "Weakly-Singular Integral Equations for Steady State Flow in Anisotropic Porous Media Containing Discontinuity Surfaces." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80299.

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In this paper, we present the development of the weakly-singular, weak-form fluid pressure and fluid flux integral equations for steady state Darcy’s flow in porous media. The integral equation for fluid flux is required for the treatment of flow in a domain which contains surfaces of discontinuities (e.g. cracks and impermeable surfaces), since the pressure integral equation contains insufficient information about the fluid flux on the surface of discontinuity. In this work, a systematic technique has been established to regularize the conventional fluid pressure and fluid flux integral equat
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Makaryan, Vahagn, Michael Sutton, Gurgen Chlingaryan, Davresh Hasanyan, and Xiaomin Deng. "Some Boundary Value Problems of Elastic Media Containing Rigid Inclusions Under Compressive Mechanical Loads." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11843.

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In this work we discuss some 2D boundary-value problems related to an elastic medium containing a thin rigid inclusion with general geometrical shape located in the interface between two separate elastic half-planes and subjected to compressive loading. Assuming perfect bonding between the inclusion and elastic medium, Fourier and Henkel integral transformation techniques are used to obtain the exact solution for the problem. Explicit forms are presented for arbitrary forms of thin inclusions, demonstrating that the tangent shear stress at the end-points of the inclusion has a square-root sing
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Pant, Lalit M., Sushanta K. Mitra, and Marc Secanell. "Mass Transport Measurements in Porous Transport Layers of a PEM Fuel Cell." In ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2011. http://dx.doi.org/10.1115/icnmm2011-58181.

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Porous transport layers are an integral part of polymer electrolyte fuel cells (PEMFC). In order to optimize the catalyst layer performance and reduce catalyst consumption, a thorough understanding of mass transport through porous media is necessary. Currently, there is a lack of experimental measurements of effective mass transport properties of porous transport layers. Further, mass transport theories in the literature, such as the binary friction model by Kerkhof [1], have not been extensively validated for porous media. In the present study, mass transport measurements have been performed
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Lagumbay, Randy S., Oleg V. Vasilyev, Andreas Haselbacher, and Jin Wang. "Numerical Simulation of a Supersonic Three-Phase Cavitating Jet Flow Through a Gaseous Medium in Injection Nozzle." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82948.

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A new multiphase mathematical model based on a mixture formulation of the laws of conservation for a multiphase flow is used to simulate a supersonic three-phase cavitating jet flow through a gaseous medium. The model does not require an adhoc closure for the variation of mixture density with regards to the attendant pressure and yields a thermodynamically accurate value for the acoustical propagation generated by the process. A source term for cavitation is added into the equations of the mixture formulation and the resultant cavitation is mathematically modeled accordingly. The new numerical
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Upadhyaya, B. R., S. R. P. Perillo, X. Xu, and F. Li. "Advanced Control Design, Optimal Sensor Placement, and Technology Demonstration for Small and Medium Nuclear Power Reactors." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75343.

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The efficient and safe performance of nuclear power plants of the future requires remote monitoring, control, and condition-based maintenance in order to maximize their capacity factor. Small and medium reactors, in the 50–500 MWe power range, may become commonplace for certain applications, with a design features for remote deployment. Such a reactor may be part of a smaller electrical grid, and deployed in areas with limited infrastructure. Typical applications include power generation, process heat for water desalination, and co-generation. There are other considerations in the deployment o
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Som, Abhijit. "Generalized Reynolds Analogy: An Engineering Prospective of Thermo-Fluid Physics for Heat Exchanger Design." In ASME 2021 Power Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/power2021-65820.

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Abstract In practical interest of Reynolds analogy for power and process industries, in a unified system approach an engineering prospective of thermo-fluid physics has been proposed by developing a theory of basic heat exchanger design and analysis. Needless to mention of excellent books on heat exchangers, this paper focuses on the novelty of heat exchanger, which in author’s view depends upon the possibility of energy exchange between two fluid streams at different temperatures. Since operation cannot be random, the principal act of design is to engineer a product such that it operates in s
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Utamura, Motoaki. "Thermal-Hydraulic Characteristics of Microchannel Heat Exchanger and Its Application to Solar Gas Turbines." In ASME Turbo Expo 2007: Power for Land, Sea, and Air. ASMEDC, 2007. http://dx.doi.org/10.1115/gt2007-27296.

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Incorporating “integral method” proposed here, a set of empirical correlations of local heat transfer coefficient and pressure loss coefficient are newly derived based on experiments using microchannel heat exchanger (MCHE) with supercritical carbon dioxide as heating medium and water as coolant. They are expressed in dimensionless forms of polynomial of Reynolds number and Prandtl number. The same correlation of Nusselt number is found applicable to both fluids and its value is almost two times larger than Dittus Boelter correlation. It was also shown that the above form is applicable to a wi
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