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Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation
Published on: May 2, 2016
A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new
1Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, 77455 Saudi Arabia.
Abstract:
In this research, two alternative approaches to fractional derivatives, namely Caputo-Fabrizio (CF) and Atangana-Baleanu (AB) fractional operators, are used to propose a generalized model of thermoelastic heat transfer of a rigid cylinder with thermal characteristics. The proposed model can be constructed by combining the DPL model with phase delays and the two temperature theories. It will be taken into account that the solid cylinder has variable physical properties. It was also assumed that the surface of the cylinder is penetrated by a continuous magnetic field and is regularly exposed to thermal loading from a continuous heat source. The numerical solutions of the studied physical fields in the AB and CF fractional derivative cases were derived using the Laplace transform method and are compared visually and tabularly and discussed in detail.
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