Heat 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 ...
6
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 ...
6
Non-Fourier heat conduction equation in a sphere; comparison of variational method and inverse Laplace transformation with exact solution
... transient heat transfer problems to predict the temperature field in the ...the heat flux has a linear relation with the temperature gradient and the propagation speed of the thermal wave is infinite ...
10
One Explicit Scheme for the Linear Heat Conduction Equation and the Numerical Approximation
... temporal spacing and h is the spatial spacing ) in[1], [2], [3] forthe linear heat conduction in one space dimension (1). In section 2 We will analysis the truncation error of the method. In section 3 we ...
6
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] ...
22
On the issue that Finite Element discretizations violate, nodally, Clausius’s postulate of the second law of thermodynamics
... the heat conduction equation violate Clausius’s postulate of the second law of thermodynamics, at nodal ...nodal heat-fluxes arise in such ...nodal heat-fluxes with respect to Clausius’s ...
18
Thermal Deformation Estimation for a Hollow Ball Screw Feed Drive System
... massive heat with greater thermal expansion produced, and consequently have a negative effect on the positioning ...unsteady heat conduction equation with heat generation from the main ...
6
Increased Energy Absorption into W due to the Metal Deposited Layer from an ELM-like Pulsed Plasma
... absorbed heat load on the sample was estimated with the help of 1D heat conduction equation calculation ...the heat conduction in thin Al and thick ...
5
About Dirichlet boundary value problem for the heat equation in the infinite angular domain
... the 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 ...
21
Advantages of analytically computing the ground heat flux in land surface models
... ground heat flux. In the original model formulation, the heat conduction equation needed to be solved numerically, using the surface skin temperature as a boundary condition, so the ...
18
A FRACTIONAL ANALOG OF CRANK–NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY
... the heat conduction equation with delay [9] and the theory of numerical methods of the solution of the functional and differential equations were discussed in [10, ...
10
Pulsed Laser Heating of a Finite Silver Selenide Slab Using (HHCE) Model
... Mathematics heat conduction equation ...that heat propa- gates with finite velocity leading to the hyperbolic heat conduction equation (HHCE) [23] [24] [25] [26] [27] ...
14
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 ...
15
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 ...
18
An application of Lauricella hypergeometric functions to the generalized heat equations
... described heat conduction in fractal media, such as polar bear hair, wool fibers and goose ...time-fractional heat conduction equations into ordinary differential equations, therefore, precise ...
6
Implicit Euler time discretization and FDM with Newton method in nonlinear heat transfer modeling
... one-dimensional heat transfer in a media with temperature-dependent thermal ...unsteady heat conduction equation with certain initial and boundary ...the equation is first discretized ...
5
Development and verification of a particle number density variant of sph to robustly incorporate energy and heat transfer
... standard heat conduction equation seen in ...of heat conduction in literature and will be further tested in the future for potential benefits in multi-fluid flow ...encompassing ...
12
Time-Fractional Fourier Law in a finite hollow cylinder under Gaussian-distributed heat flux
... of heat conduction based on time- fractional Fourier equation for a finite hollow cylinder treated with heat flux on one of the front ...fractional heat conduction ...
6
Analytical Analysis of The Dual-phase-lag Heat Transfer Equation in a Finite Slab with Periodic Surface Heat Flux (RESEARCH NOTE)
... (DPL) heat conduction equation under the condition of periodic thermal disturbance is ...hyperbolic heat conduction equation in a finite slab subjected to a periodic thermal ...
8
Research of inversion problem of coal mine fire hidden based on the method of regularization
... Two dimensional temperature fields are simplified to a one-dimensional temperature field, using the discrete regularization method to mine hidden fire source inversion. The numerical simulations show that, discrete ...
8