Abstract
The governing principle of dissipative processes is formulated for unsteady heat conduction phenomenon. The dual field method is applied to find the temperature distribution in a finite insulated rod whose ends are maintained at a constant temperature. The variational solution obtained by this new method is in excellent agreement with the exact solution given byCarslaw andJaeger. The result is also obtained in the force representation of the governing principle which is exactly similar to that obtained by local potential method.
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References
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Singh, P. Non-equilibrium theory of unsteady heat conduction. Acta Physica 43, 59–63 (1977). https://doi.org/10.1007/BF03157530
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DOI: https://doi.org/10.1007/BF03157530