Conduction equation
Stability of Charlie's method on linear heat conduction equation.
... Abstract Explicit schemes are attractive for obtaining finite difference solu- tions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on ...
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3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries
... transfer equation along with mixed diffuse/specular boundary conditions, and, in the other hand, the transient heat conduction equation along with its specific boundary ...
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One Explicit Scheme for the Linear Heat Conduction Equation and the Numerical Approximation
... Abstract—In this paper, one explicit scheme for the linear he at conduction equation in one space dimension is conside re d. We will analysis the truncation error of the method and w ill use the super norm, ...
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Non-Fourier heat conduction equation in a sphere; comparison of variational method and inverse Laplace transformation with exact solution
... This study applies three approaches namely separation of variables as an exact solution, variational method and asymptotic series for taking the inverse Laplace as two approximate solutions. The employment of the Laplace ...
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Lösung der instationären Wärmeleitungsgleichung mit zeitabhängiger Umgebungstemperatur und zeitlich veränderlicher und räumlich ungleichmässig verteilter Wärmequelle. EUR 1089. = Solution of the unsteady heat conduction equation with time-dependent ambient temperature and temporally variable and spatially unevenly distributed heat source. EUR 1089.
... Fourier's equation of heat conduction with time dependent ambient temperature and space and time dependent source distribution is treated by a Laplace transformation with respect to time[r] ...
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Implicit Euler time discretization and FDM with Newton method in nonlinear heat transfer modeling
... heat conduction equation with certain initial and boundary ...the equation is first discretized in space and then in time, we first discretize the equation in time, whereby a sequence of ...
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Increased Energy Absorption into W due to the Metal Deposited Layer from an ELM-like Pulsed Plasma
... It is important in divertor physics research to investigate thermal response process of beryllium deposited tungsten to high transient heat load such as ELMs. We investigated the heat load on aluminum-coated tungsten by ...
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The Possibility of using Flat Plate Solar Collector Based on the Best Calculated Tilt Angle in the City of Rasht as a Case Study (TECHNICAL NOTE)
... plate conduction equation as two dimensional [7].In Equation (10), S is the absorbed energy of the south facing absorber plate tilted with angle ...
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Advantages of analytically computing the ground heat flux in land surface models
... Abstract. It is generally accepted that the ground heat flux accounts for a significant fraction of the surface energy bal- ance. In land surface models, the ground heat flux is typically estimated through a numerical ...
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Thermal Deformation Estimation for a Hollow Ball Screw Feed Drive System
... heat conduction equation to determine the steady and transient temperature distributions, as well as temperature rises for calculating the thermal deformations of solid and hollow ball ...
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About Dirichlet boundary value problem for the heat equation in the infinite angular domain
... heat conduction equation the existence of a unique (up to a constant factor) non-trivial solution, which, however, does not belong to the class of summable functions with the weight found in the work is ...
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Pulsed Laser Heating of a Finite Silver Selenide Slab Using (HHCE) Model
... heat conduction equation ...heat conduction equation (HHCE) [23] [24] [25] [26] [27] especially when extremely short laser pulse or very high frequencies are ...
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Time-Fractional Fourier Law in a finite hollow cylinder under Gaussian-distributed heat flux
... conduction, thermo-elasticity, thermal shock [18, 19], complex nonlinear systems, super capacitors, electrical systems, electrical filters, phenomena of dielectric relaxation, phenomena of diffusion and ...
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Thermal Convection in Non-Fourier Fluids and Application to Liquid Helium II
... Heat conduction is conventionally governed by the classical Fourier ...Fourier equation is combined with the conservation of energy law, a parabolic equation for the temperature field is ...(C-V) ...
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On a generalization of the Dirichlet problem for the Poisson equation
... was investigated, and its Fredholm property was proved. For the Laplace, Poisson, and Helmholtz equations, the boundary value problems in the unit ball with higher-order derivatives in the boundary conditions were ...
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MATHEMATICAL MODELING OF THE DEPENDENCE OF HEAT DISTRIBUTION ON DIRECTION IN SURFACE TEXTURING OF CONTINUOUS CARBON FIBRE REINFORCED EPOXY COMPOSITES BY ND.YAG LASER
... To understand the effects of laser irradiation on the material, it is necessary to evaluate the temporal and spatial variation of temperature distribution. The most simplified ther- mal analysis is based on the solution ...
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Microscale nonequilibrium heat transfer in technologies using intensive heat sources
... heat conduction takes place in phonon, electron, i photon and molecular heat ...Parallel conduction can be i found in metals, plasmas and composite and porous ...heat conduction equation has ...
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
... Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values. In this paper, we identify a ...
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An application of Lauricella hypergeometric functions to the generalized heat equations
... heat conduction equation is studied by Povstenko in 2004 ...heat conduction equation with a time-fractional ...heat conduction with time and space fractional derivatives and on the ...
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On the issue that Finite Element discretizations violate, nodally, Clausius’s postulate of the second law of thermodynamics
... heat conduction equation” section, the unsteady heat conduction equation is introduced together with a general expression of its corresponding (spatially) discrete ...
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