A New Heat Flux Model for MHD Shear Thickening Fluid Flow Past a Cylinder With Radiation and Variable Heat Source/Sink

ABSTRACT The prime aim of the current investigation is to examine the magnetohydrodynamic flow of shear‐thickening liquid subjected to the stretching of an extended cylinder in the ubiquity of a porous medium. A new typical heat flux ideal is used, including the effects of thermal radiative heat, convection, irregular heat generation or absorption, and Joule heating. By employing the similarity transmutations, the governing equations are reduced to nonlinear ODEs and solved using the R.K.‐based shooting technique. Results are analyzed with graphs to assess the impact of parameters on the flow. The reduction in fluid temperature due to the thermal relaxation parameter suggests its potential application in cooling technologies, such as advanced heat exchangers, microchannel cooling, and industrial cooling systems, where precise thermal management is crucial. The higher heat transport rate with increased thermal stratification and radiation parameters indicates potential benefits in solar energy applications, such as solar collectors and thermal storage systems, where maximizing heat transfer efficiency is essential for improved energy capture and utilization.