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The Heat Equation
This chapter deals with the heat equation. They are considered the weak and strong maximum principles, the Cauchy problem, the mean value formula,...
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Determination of the Thermal Conductivity and Volumetric Heat Capacity of Substance from Heat Flux
AbstractThe study of nonlinear problems related to heat transfer in a substance is of great practical important. Earlier, this paper’s authors...
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Enhanced entropy generation and heat transfer characteristics of magnetic nano-encapsulated phase change materials in latent heat thermal energy storage systems
The objective of the current study is to investigate the importance of entropy generation and thermal radiation on the patterns of velocity,...
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Performance of Magnetic Dipole Contribution on Ferromagnetic Heat and Mass Transfer Flow with the Influence of Nonlinear Radiative Heat Flux
This theoretical simulation investigates the effect of nonlinear radiative heat flux, chemical reaction, and quadric thermal radiation on...
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Numerical Solutions Applied to Heat Transfer with the SPH Method A Verification of Approximations for Speed and Accuracy
This book offers an in-depth verification of numerical solutions for differential equations modeling heat transfer phenomena, where the smoothed...
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Numerical Error Analysis and Heat Diffusion Models
In this chapter we present the mathematical equations that model the phenomenon of steady state heat diffusion. In addition, we show the variables of...
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Dynamic Properties of a One-Dimensional Heat Transfer System with a Moving Heat Source
AbstractFor a one-dimensional heat transfer system with a moving heat source, we calculate the transfer and pulse transfer functions of the...
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Modeling of Heat Transfer in Composite Bodies Reinforced with Tubes with Swirlers Through Which a Twisted Liquid Heat Carrier Moves in the Turbulent Mode. II. Model Problem
For a model problem, we compute the velocity form-parameters of the flows of heat carrier in tubes and the temperature fields in concrete cylindrical...
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New analytic solutions to 2D transient heat conduction problems with/without heat sources in the symplectic space
The two-dimensional (2D) transient heat conduction problems with/without heat sources in a rectangular domain under different combinations of...
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Heat Diffusions on Holomorphic Foliations With Non-Degenerate Singularities
Consider a Brody hyperbolic foliation with non-degenerate singularities on a compact complex manifold. We show that the leafwise heat diffusions and...
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Modeling of Heat Transfer in Composite Bodies Reinforced with Tubes with Swirlers Through Which a Twisted Liquid Heat Carrier Moves in the Turbulent Mode. I. Statement of the Problem
We obtain a system of equations that describe the processes of stationary heat and mass transfer in composite bodies spatially reinforced with a...
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Heat Transfer Model for Silk Finishing Calender
Calendering is a finishing process used in many process industries like paper, textile and leather where the web passes through two or more rotating...
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Transient MHD Free Convection Flow, Heat and Mass Transfer in Darcy–Forchheimer Porous Medium in the Presence of Chemical Reaction and Heat Absorption with Soret and Dufour Effects: Element-Free Galerkin Modelling
AbstractThe effects of diffuso-thermal (Dufour effect) and thermo-diffusion gradients (Soret effect) on the magneto-hydrodynamic (MHD) unsteady...
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Thermal State of a Thermosensitive Tribosystem under Complex Heat Exchange
We extend the numerical-analytic approach approved for the problems of heat conduction for thermosensitive bodies, which are in perfect contact, to...
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Nonequilibrium Characteristics of Heat Transfer of Copper in a Wide Temperature Range
AbstractThe characteristics of nonequilibrium heat transfer of copper, such as thermal conductivity and heat capacity, are obtained in a wide...
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On asymptotic stability of the 3D Boussinesq equations without heat conduction
We investigate the asymptotic stability of the solutions to Boussinesq equations without heat conduction with the initial data near a specific...
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Mathematical Modeling of Heat Transfer in Anisotropic Half-Space Based on the Generalized Parabolic Wave Heat Transfer Equation
AbstractBased on the well-known Vernott–Cattaneau–Lykov law of heat transfer in thermodynamic nonequilibrium space, a new law of wave heat transfer...
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Optimization of data centre waste heat integration into the low-temperature district heating networks
The number of data centres (DC) in recent years is growing rapidly, and with that, the share in total consumption of electricity is growing too. A...
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A map** property of the heat volume potential
We consider the volume potential associated with the heat operator and we prove a map** property in the space of distributions which are the time...
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Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain
A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the evolution of the total-to-kinetic-energy ratio during...
