Some Observable Effects of Heat Flow in Response to Thermal Potentials at the Boundary
non-Fourier physical theoretical grounds previous work [9]
Abstract
When heat flow is subject to temperature dependent thermal potential at the boundary, the associated local temperature field responds significantly, while the neighboring field is marginally influenced. This response results into effects quite intriguing. This paper examines these effects over a pure metallic plate. By considering both linear and non-linear thermal potentials induced at the edge of the plate as test cases, governed by Poisson Equation in 2- dimensions, finite element algorithm is employed to compute the temperature profiles. A control model is set-up, which admits Laplace Equation in 2-dimensions, and the outputs from the test models and the control model are examined and compared. The MATLAB results show notable effects. These results are discussed which are invaluable design factors for optimum efficiency of thermally driven systems such as in nuclear power plants, thermo-chemical plants, thermo- mechanical industries, lacers, solid state plasma, e.t.c. This paper, when incorporated with our previous work [9], serves as good theoretical grounds for believing the notable physical anomalies in heat transfer processes, such as the paradox of moving medium detected in the non-Fourier DPL heat conduction model [10].
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2013-09-26
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