The magneto-hydrodynamic motion of casson nano liquid across a porous sheet with frictional heating in Brinkmann-Forcheiemerr media
S.P. Pallavi, M.B. Veena, Jagadish V. Tawade, Vediyappan Govindan, Choonkil Park, Siriluk Donganont, Ashwin Nagaraj
Abstract
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.