Thermal deformity and thermolysis of magnetized and fractional Newtonian fluid with rheological investigation

Abstract

Thermolysis and its deformities can occur at every developmental stage at all temperatures during the process of heating, pyrolysis mechanism, and thermodynamical decompositions. This manuscript investigates thermal-fluid flow of a magnetized Newtonian fluid under the influence of porosity via modern fractional differential approaches. The mathematical modeling of thermal-fluid flow of the magnetized Newtonian fluid is developed for temperature distribution and velocity profile under the Mittag–Leffler function as an imposed boundary condition. The governing equations of thermal-fluid flow of the magnetized Newtonian fluid are non-dimensional and fractionalized through modern non-integer differentiations. The mathematical model of thermal-fluid flow for the magnetized Newtonian fluid is tackled via integral transforms for generating exact analytical solutions. For the sake of comparative analysis of thermodynamical aspects, the Nusselt number from the thermal fractional model and skin friction from the momentum fractional model have been compared graphically via two types of modern non-integer differentiations and statistical observations. The results indicate and suggest the significant impacts in realistic hypothesis.