Rotational Agrawal's stagnation flow scenario of Maxwell fluid over a rotating disk: Effect of thermophoretic force and non-uniform gyrotaxis

Agrawal's stagnation-point flow of in-compressible fluid exhibiting the elastic and viscous effects simultaneously along the gyrotaxis phenomenon over heated rotating disk is analyzed here in this theoretical work. The disk heated surface follows the thermal convection mechanism which is controlled by Biot number. The thermophoretic velocity is also incorporated in thermo-mass transportation mechanism as well as microorganism movement. Numerical simulations for the mathematical model governing this present problem are performed via Matlab built-in scheme based on Labatto-III formula and Richardson extrapolation. The outcomes of the problem are presented in graphical abstracts and numeric forms. These results are physically justified and also validate through already published study. These outcomes prove that concentration profile and microorganism movement is decreased when thermophoretic velocity improve. The higher values of relaxation time parameter also declines the flow field, thermal and microorganism profiles. The Lorentz force impact improves the thermal transportation in Maxwell fluid flow.