Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures |
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Authors: | Magdy A Ezzat and Ahmed S El Karamany |
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Abstract: | A new mathematical model of two-temperature magneto-thermoelasticity is constructed where the fractional order heat conduction
law is considered. The state space approach is adopted for the solution of one-dimensional application for a perfect conducting
half-space of elastic material with heat sources distribution in the presence of a transverse magnetic field. The Laplace-transform
technique is used. A numerical method is employed for the inversion of the Laplace transforms. According to the numerical
results and its graphs, conclusions about the new theory are given. Some comparisons are shown in figures to estimate the
effects of the temperature discrepancy and the fractional order parameter on all the studied fields. |
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