In this paper, Cattaneo-Hristov heat diffusion is discussed in the half plane for the first time, and solved under two different boundary conditions. For the solution purpose, the Laplace, and the sine- and exponential- Fourier transforms with respect to time and space variables are applied, respectively. Since the fractional term in the problem is the Caputo-Fabrizio derivative with the exponential kernel, the solutions are in terms of time-dependent exponential and spatial-dependent Bessel functions. Behaviors of the temperature functions due to the change of different parameters of the problem are interpreted by giving 2D and 3D graphics.
|Subjects||Mathematical Physics (Other), Theoretical and Applied Mechanics in Mathematics|
|Journal Section||Research Articles|
|Publication Date||September 30, 2023|
|Submission Date||August 9, 2023|
|Published in Issue||Year 2023 Volume: 3 Issue: 3|