Numerical solution of radiative transfer equation coupled with nonlinear heat conduction equation

F. Asllanaj; G. Jeandel; J.R. Roche

doi:10.1108/eum0000000005528

Numerical solution of radiative transfer equation coupled with nonlinear heat conduction equation

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/eum0000000005528 ◽

2001 ◽

Vol 11 (5) ◽

pp. 449-473 ◽

Cited By ~ 19

Author(s):

F. Asllanaj ◽

G. Jeandel ◽

J.R. Roche

Keyword(s):

Heat Conduction ◽

Radiative Transfer ◽

Numerical Solution ◽

Transfer Equation ◽

Heat Conduction Equation ◽

Radiative Transfer Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Analysis of radiative transfer equation coupled with nonlinear heat conduction equation

Elliptic and Parabolic Problems ◽

10.1142/9789812777201_0030 ◽

2002 ◽

Author(s):

F. Asllanaj ◽

G. Jeandel ◽

J. R. Roche ◽

D. Schmitt

Keyword(s):

Heat Conduction ◽

Radiative Transfer ◽

Transfer Equation ◽

Heat Conduction Equation ◽

Radiative Transfer Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2016.48155 ◽

2016 ◽

Vol 04 (08) ◽

pp. 1488-1493 ◽

Cited By ~ 2

Author(s):

D. Le Hardy ◽

Y. Favennec ◽

G. Domingues ◽

B. Rousseau

Keyword(s):

Heat Conduction ◽

Radiative Transfer ◽

Boundary Conditions ◽

Transfer Equation ◽

Heat Conduction Equation ◽

Radiative Transfer Equation ◽

Conduction Equation ◽

Complex Geometries ◽

Realistic Boundary Conditions

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The radiative transfer equation with a nonhomogeneous reflectivity boundary condition coupled with the heat conduction equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5077 ◽

2018 ◽

Vol 41 (13) ◽

pp. 5254-5273 ◽

Cited By ~ 2

Author(s):

Luc Paquet ◽

Hawraa Nabolsi

Keyword(s):

Boundary Condition ◽

Heat Conduction ◽

Radiative Transfer ◽

Transfer Equation ◽

Heat Conduction Equation ◽

Radiative Transfer Equation ◽

Conduction Equation

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Remarks on wave solutions of the nonlinear heat-conduction equation

Journal of Engineering Physics ◽

10.1007/bf00822128 ◽

1981 ◽

Vol 40 (5) ◽

pp. 565-571 ◽

Cited By ~ 4

Author(s):

V. A. Bubnov

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Wave Solutions ◽

Nonlinear Heat Conduction Equation

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The asymptotic behavior of solution for the nonlinear heat-conduction equation and its application

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30446-0 ◽

2001 ◽

Vol 21 (4) ◽

pp. 561-571

Author(s):

Fangnian Cheng ◽

Zhiwen Duan

Keyword(s):

Asymptotic Behavior ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Asymptotic Behavior Of Solution ◽

Nonlinear Heat Conduction Equation

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A boundary-value problem for a nonlinear heat-conduction equation

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf00915177 ◽

1971 ◽

Vol 8 (5) ◽

pp. 31-36

Author(s):

K. G. Valeev ◽

Yu. V. Rakitskii

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Solution of a nonlinear heat-conduction equation for volume heat sources

Journal of Engineering Physics ◽

10.1007/bf00829402 ◽

1970 ◽

Vol 18 (5) ◽

pp. 651-653

Author(s):

O. A. �ismont

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Heat Sources ◽

Nonlinear Heat Conduction ◽

Volume Heat ◽

Nonlinear Heat Conduction Equation

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Group properties of the nonlinear heat-conduction equation and the solution of inverse problems

Journal of Engineering Physics ◽

10.1007/bf00861378 ◽

1976 ◽

Vol 30 (3) ◽

pp. 363-369

Author(s):

V. V. Frolov

Keyword(s):

Heat Conduction ◽

Inverse Problems ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Analytic solutions for generalized forms of the nonlinear heat conduction equation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.03.014 ◽

2011 ◽

Vol 12 (5) ◽

pp. 2681-2691 ◽

Cited By ~ 6

Author(s):

M.M. Kabir

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Analytic Solutions ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Describing Function Method Applied to Solution of Nonlinear Heat Conduction Equation

Nuclear Science and Engineering ◽

10.13182/nse89-a23651 ◽

1989 ◽

Vol 102 (4) ◽

pp. 408-422

Author(s):

B. Nassersharif

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Function Method ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Describing Function ◽

Nonlinear Heat Conduction Equation ◽

Describing Function Method

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