Influence of viscous dissipation on MHD flow of micropolar fluid over a slendering stretching surface with modified heat flux model

The current research article delivers a numerical study of an electrically conducting magnetohydrodynamic nonlinear convection flow of micropolar fluid over a slendering stretching surface. The flow is laminar and time independent. The influence of viscous dissipation, Joule heating, non-uniform heat source or sink, temperature-dependent thermal conductivity and thermal radiation is deemed. Heat-transfer characteristics are scrutinized with the aid of modified Fourier's law. We presented simultaneous solutions for a flat surface and variable thickened surface. At first, appropriate similarity transformations are considered to convert the basic partial differential equations as ordinary ones and then solved by the successive application of numerical procedures such as shooting and fourth-order Runge–Kutta method. Graphs are delineated to observe the influence of diverse nondimensional parameters on the flow fields. Along with the skin friction coefficient, couple stress coefficient and local Nusselt number are also discussed and bestowed with the support of the table. Results stipulate that the distribution of temperature increases with thermal relaxation and radiation parameters, but a contradictory outcome is spotted for Prandtl number. Also, the microrotation velocity is suppressed with an enhancement in magnetic field parameter, but an opposite trend is observed for buoyancy force.