The analytical solutions of nonlinear unsteady heat conduction equation are meaningful in theory. In addition, they are very useful to the computational heat conduction to check the numerical solutions and to develop numerical schemes, grid generation methods and so forth. However, very few explicit analytical solutions have been known for the unsteady nonlinear heat conduction. In order to develop the heat conduction theory, some algebraically explicit analytical solutions of nonlinear heat conduction equation have been derived in this paper, which include one-dimensional and two-dimensional unsteady heat conduction solutions with thermal conductivity, density and specific heat being functions of temperature.

Issue Section:
Technical Notes
Keywords:
heat conduction, thermal conductivity, specific heat, mesh generation, Analytical, Conduction, Heat Transfer, Unsteady
Topics:
Heat conduction, Thermal conductivity, Specific heat
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Copyright © 2001
 by ASME
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