EXACT SOLUTION OF STEADY NONLINEAR HEAT CONDUCTION IN EXPONENTIALLY GRADED CYLINDRICAL AND SPHERICAL SHELLS WITH TEMPERATURE-DEPENDENT PROPERTIES

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MOOSAIE AMIN; PANAHI KALUS HAMED

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Journal: Journal of Science and Technology of Composites Year:2016 | Volume:3 | Issue:3 Page(s): 301-306

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Title

EXACT SOLUTION OF STEADY NONLINEAR HEAT CONDUCTION IN EXPONENTIALLY GRADED CYLINDRICAL AND SPHERICAL SHELLS WITH TEMPERATURE-DEPENDENT PROPERTIES

Author(s)

MOOSAIE AMIN | PANAHI KALUS HAMED | Issue Writer Certificate

Keywords

NONLINEAR HEAT CONDUCTIONQ2

TEMPERATURE-DEPENDENT HEATQ2

CONDUCTIVITYQ2

EXPONENTIALLY GRADED MATERIALQ2

HOLLOW CYLINDERQ2

HOLLOW SPHEREQ2

Abstract

In this study, an exact analytical solution of steady heat conduction problem in exponentially graded inhomogeneous materials with TEMPERATURE-DEPENDENT HEAT CONDUCTIVITY is presented. The FGM properties are assumed to depend exponentially on spatial coordinates whereas the temperature dependency is taken to be a linear function. The proposed method is based on an integral transformation of the temperature field, which transforms the nonlinear heat equation into a linear one for the transformed temperature. The boundary conditions are to be transformed as well. Once the linear equation is solved and the transformed temperature is obtained, the inverse transform is used to calculate the physical temperature field. The boundary conditions are enforced on the transformed temperature. Finally, in order to demonstrate the application of the proposed method, two numerical examples are worked out, i.e. NONLINEAR HEAT CONDUCTION in the radial direction of cylindrical and spherical thick-walled shells. In order to check the validity of the proposed solution scheme, a numerical solution of the problems has been performed and an excellent agreement has been established.

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APA: Copy

MOOSAIE, AMIN, & PANAHI KALUS, HAMED. (2016). EXACT SOLUTION OF STEADY NONLINEAR HEAT CONDUCTION IN EXPONENTIALLY GRADED CYLINDRICAL AND SPHERICAL SHELLS WITH TEMPERATURE-DEPENDENT PROPERTIES. JOURNAL OF SCIENCE AND TECHNOLOGY OF COMPOSITES (JSTC), 3(3), 301-306. SID. https://sid.ir/paper/251633/en

Vancouver: Copy

MOOSAIE AMIN, PANAHI KALUS HAMED. EXACT SOLUTION OF STEADY NONLINEAR HEAT CONDUCTION IN EXPONENTIALLY GRADED CYLINDRICAL AND SPHERICAL SHELLS WITH TEMPERATURE-DEPENDENT PROPERTIES. JOURNAL OF SCIENCE AND TECHNOLOGY OF COMPOSITES (JSTC)[Internet]. 2016;3(3):301-306. Available from: https://sid.ir/paper/251633/en

IEEE: Copy

AMIN MOOSAIE, and HAMED PANAHI KALUS, “EXACT SOLUTION OF STEADY NONLINEAR HEAT CONDUCTION IN EXPONENTIALLY GRADED CYLINDRICAL AND SPHERICAL SHELLS WITH TEMPERATURE-DEPENDENT PROPERTIES,” JOURNAL OF SCIENCE AND TECHNOLOGY OF COMPOSITES (JSTC), vol. 3, no. 3, pp. 301–306, 2016, [Online]. Available: https://sid.ir/paper/251633/en

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