Thermal transport analysis in stagnation-point flow of Casson nanofluid over a shrinking surface with viscous dissipation

In arteries blood flow is the usual example for a Casson fluid flow among the other vital utilizations of this fluid model. Thus, it would be helpful to study the Brownian motion diffusion and thermophoresis diffusion in Casson fluid for biomedical applications. In this analysis, the electrically conducting Casson nanofluid, with suction and convective boundary condition, has been addressed in a shrinking surface. The mechanism of convective heat transfer has been elaborated with Ohmic heating and viscous dissipation effects. The numerical solutions to the governing equations have been obtained by applying the similarity transformation to the nonlinear partial differential equations. The present model is employed to examine the viscoplastic characteristics in the porous regime. This dimensionless ruling problem, along with physical boundary conditions, is handled numerically by using a Runge-Kutta Fehlberg scheme. The outcomes of the present study show that the rate of heat and mass transfer at the surface of the shrinking sheet enhances with the growth in Casson fluid parameter and magnetic parameter. Furthermore, it is observed that the shear stress at the wall rises with the increment in magnetic parameter. Moreover, unsteadiness parameter is the decreasing function of heat and mass transfer rates.

Automated summary

Studying the importance of Brownian motion diffusion and thermophoresis diffusion in Casson fluids for biomedical applications, the analysis of electrically conducting Casson nanofluid on a shrinking surface shows that the rate of heat and mass transfer at the surface increases with the growth in Casson fluid parameter and magnetic parameter. Additionally, the shear stress at the wall rises with the increment in magnetic parameter, while the unsteadiness parameter decreases with heat and mass transfer rates.