SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION IN SPHERICAL MEDIA WITH NONLINEAR BOUNDARY CONDITION

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SAEDODIN S.; NASIRIKIA A.

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Paper Information

Journal: Journal of Aerospace Mechanics Year:2014 | Volume:10 | Issue:2 (36) Page(s): 65-75

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Information Journal Paper

Title

SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION IN SPHERICAL MEDIA WITH NONLINEAR BOUNDARY CONDITION

Author(s)

SAEDODIN S. | NASIRIKIA A. | Issue Writer Certificate

Keywords

HYPERBOLIC HEAT CONDUCTIONQ2

LAPLACE TRANSFORM METHODQ2

NONLINEAR BOUNDARY CONDITIONQ2

SPHEREQ2

Abstract

In this paper HYPERBOLIC HEAT CONDUCTION equation in spherical media with its outer surface subjected to time dependent laser heat source and combined convective-radiative cooling is solved using LAPLACE TRANSFORM METHOD. In order to perform this method, the NONLINEAR BOUNDARY CONDITION is linearized by Taylor's series expansion. The Riemann-sum approximation method is used to obtain the inverse of Laplace transform. The temperature distribution is studied for different values of thermal relaxation time, pulse duration, convection-conduction and radiation-conduction parameters and the solutions of hyperbolic and Fourier equations are also compared. The results of the present method is verified by being compared with available analytical solution results under a simpler boundary condition.

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APA: Copy

SAEDODIN, S., & NASIRIKIA, A.. (2014). SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION IN SPHERICAL MEDIA WITH NONLINEAR BOUNDARY CONDITION. AEROSPACE MECHANICS JOURNAL, 10(2 (36)), 65-75. SID. https://sid.ir/paper/101731/en

Vancouver: Copy

SAEDODIN S., NASIRIKIA A.. SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION IN SPHERICAL MEDIA WITH NONLINEAR BOUNDARY CONDITION. AEROSPACE MECHANICS JOURNAL[Internet]. 2014;10(2 (36)):65-75. Available from: https://sid.ir/paper/101731/en

IEEE: Copy

S. SAEDODIN, and A. NASIRIKIA, “SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION IN SPHERICAL MEDIA WITH NONLINEAR BOUNDARY CONDITION,” AEROSPACE MECHANICS JOURNAL, vol. 10, no. 2 (36), pp. 65–75, 2014, [Online]. Available: https://sid.ir/paper/101731/en

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