The magneto-hydrodynamic motion of casson nano liquid across a porous sheet with frictional heating in Brinkmann-Forcheiemerr media

The present research explains the study of two dimensional Casson nano liquid infinite motion on the linearly elongating porous sheet using Brinkmann-Forcheiemerr porous medium. The study involved mathematical models for the effects of magnetic field, viscous dissipation, heat source/sink for the two-dimensional Casson nano liquid over an elongating porous sheet. Using Similarity transformations, governing Partial differential Equations-PDEs are transferred into coupled Ordinary Differential Equations-ODEs. Runge-Kutta Fehlberg method is used for solving the system of ordinary dimensionless differential equations. The Brinkmann model illustrates the fluid motion through a permeable medium, emphasizing the significance of shear stresses in transferring momentum within the liquid. This study mainly discusses the behaviour of various physical parameters like Brownian motion-Nb, Thermophoresis-Nt, Prandtl number-Pr, Eckert Number-Ec, Forchiemerr parametric quantity-F* and Casson liquid-β, on the velocity, temperature, concentration profiles and are expressed by the way of plots. The obtained numerical results of Brownian Motion-Nb and Thermophoresis parameter-Nt are discussed and compared with the previous literature in a tabular form. From the study it is observed that when Forchheimerr parameter increases the temperature profile whereas the opposite effect is seen for velocity profiles.