Inspecting heat transport phenomenon in the flow of non-Newtonian fluid in the presence of Newtonian heating and inclined slip: fractional derivative framework

A fractional model is considered to the present thermodynamic aspect of heat and fluid flow of second-grade fluid with a porous medium. The mixed convection features and inclined directional magnetic force are also enrolled. The convective thermal constraints are utilized for assessing the heat transfer properties. The erect vertical with the porous medium induced the flow. Two fractional approaches, Caputo-Fabrizio (CF) and Caputo-time algorithms, are utilized for the computation of analytical tasks. The integration is facilitated with the Laplace technique. Stehfest and Tzou's techniques are used for evaluating the Laplace inverse transformation. The physical parameters' contribution to altering the velocity and temperature profile is justified. It is noted that velocity and temperature profiles decrease for the non-singular parameters. More decrement in velocity and temperature profiles is associated with the Caputo-time model.

Automated summary

This article investigates the thermodynamic and fluid flow aspects of second-grade fluid with a porous medium using a fractional model. The study also considers mixed convection and an inclined directional magnetic force. Convective thermal constraints are applied to assess heat transfer properties. The flow is induced by the porous medium in the vertical direction. Two fractional approaches, the Caputo-Fabrizio (CF) and Caputo-time algorithms, are used for analytical computations. The Laplace technique facilitates integration, while Stehfest and Tzou's techniques are employed for Laplace inverse transformation. The impact of physical parameters on velocity and temperature profiles is analyzed, showing that non-singular parameters lead to a decrease in these profiles, with the Caputo-time model exhibiting a higher degree of decrement.