Heat transfer characteristics in non-Newtonian fluids with variable thermal conductivity and Cattaneo–Christov model: A spectral collocation approach employing legendre wavelets scheme
Mowffaq Oreijah, Tasawar Abbas, Munazza Saeed, Khaled A. Gepreel, Sami Ullah Khan, M. Ijaz Khan · International Journal of Computational Materials Science and Engineering · 2024
In this paper, we investigate the behavior of the Cattaneo–Christov heat flux model for an exponentially extending sheet in the context of a two-dimensional (2D) incompressible flow of Eyring–Powell fluid (non-Newtonian fluid). The boundary layer approximation is made in order to accomplish the mathematical formulation. The phenomenon of heat transport is analyzed using the Cattaneo–Christov heat flux model. On the layer caused by the boundary, a thermal relaxation period is anticipated. With the proper use of similarity transformation, the governing partial differential equations are transformed into ordinary differential equations (ODEs). To tackle the derived boundary layer equations, the Spectral Collocation Method based on Legendre Wavelet (SCMLW) with shooting strategy is adopted. Plotting and discussion of the effects of the found similarity parameters are done. The results of the computation show that thermal relaxation and fluid temperature are directly connected. The results of the Cattaneo–Christov heat flow model and Fourier’s law of heat conduction in the current scenario are favorable in terms of temperature and thermal boundary layer thickness.