The heat transfer on laminar boundary-layer flow (BLF) of a micropolar non-Newtonian fluid (NNF) due to a wedge with an impact of an aligned magnetic field embedded in a porous stratum accompanied by an effect of velocity and thermal slips are scrutinized. The similarity transformations are utilized to modify the governing partial differential equations into nonlinear, coupled ordinary differential equations. Resultant equations were solved analytically by homotopy analysis method (HAM). The obtained results are shown graphically for angular momentum, velocity, and temperature distributions for emerging parameters like pressure gradient parameter, velocity, and thermal slip parameters, magnetic parameter, porosity parameter, material parameter, angle of inclination, and Prandtl number. The Nusselt number and skin-friction coefficient values are tabulated. It is noticed that extending values of the material variable suppressed the velocity. The impact of an angle of inclination and porosity parameter enhance the velocity profile. A velocity field was suppressed by larger values of velocity slip variable and temperature distribution declined at the surface and it begins to increase for a certain distance with rising values of thermal slip variable. The obtained results are compared with existing results in a limiting case which provides a good agreement.

A study has been made on the flow and heat transfer of a viscous fluid in a vertical channel with first order chemical reaction and heat generation or absorption assuming that the viscosity and thermal conductivity are dependent on the fluid temperature. The temperature of the walls is maintained constant. Under these assumptions, the governing balance equations of mass, momentum and energy are formulated. The dimensionless forms of the governing equations are coupled and non-linear, which cannot be solved analytically and therefore require the use of the Runge-Kutta fourth order along with shooting technique. Graphs for velocity and temperature under different values of parameters involved are plotted and discussed. The skin friction and Nusselt number on the channel walls are also computed and discussed. Furthermore, the investigation found that variable viscosity and variable thermal conductivity enhance the velocity and temperature of the flow.