Oscillatory Heat Transfer Due to the Cattaneo-Hristov Model on the Real Line
- Authors: Derya Avci1, Beyza Billur İskender Eroğlu2
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View Affiliations Hide Affiliations1 Department of Mathematics, Faculty of Arts and Sciences, Balkesir University, Balkesir, Turkey 2 Department of Mathematics, Faculty of Arts and Sciences, Balkesir University, Balkesir, Turkey
- Source: Fractional Calculus: New Applications in Understanding Nonlinear Phenomena , pp 108-123
- Publication Date: December 2022
- Language: English
Oscillatory Heat Transfer Due to the Cattaneo-Hristov Model on the Real Line, Page 1 of 1
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This chapter aims to discuss the analytical solutions for heat waves observed in Cattaneo-Hristov heat conduction modelled with Caputo-Fabrizio fractional derivative. This operator includes a non-singular exponential kernel and also requires physically interpretable initial conditions for its Laplace transform property. These provide significant advantages to obtain analytical solutions. Two different types of harmonic heat sources are assumed to elicit heat waves. The analytical solutions are obtained by applying Laplace transform with respect to the time variable and the exponential Fourier transform with respect to spatial coordinate. The temperature curves for varying values of the fractional parameter, angular frequency, and the velocity of the moving heat source are drawn using MATLAB.
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