Outlining the Slip Effects on MHD Casson Nanofluid Flow over a Permeable Stretching Sheet in the Existence of Variable Wall Thickness

An analysis has been carried out to explore the impact of slip mechanism on MHD flow of Casson nanofluid over a permeable stretching sheet. Besides, we documented the flow aspects which include thermal radiation, variable wall thickness and chemical reaction. We alter the partial differential flow-related conditions into nonlinear ordinary ones employing the similarity transformation approach. Then, using a popular semi-analytical technique known as the Homotopy Analysis Method (HAM), we were able to untangle them. This method yields to power series solutions to nonlinear differential equations. To illustrate the impact of the velocity, temperature and concentration profiles, a parametric research has been done using tables and diagrams. In the limiting sense, the numerical results of our methodology are in great association with the outcomes of previous research. Finally, it is noted that higher values of the velocity slip constraint cause an enhancement in fluid velocity, while escalating values of the thermal slip constraint cause a decline in temperature distribution. Additionally, owing to an escalate in velocity power index, together the temperature and nanoparticle size fraction profiles considerably accelerate.