Viscous dissipation and thermal radiation effects on the flow of Maxwell nanofluid over a stretching surface

Abstract

An analysis is made to examine the viscous dissipation and thermal effects on magneto hydrodynamic mixed convection stagnation point flow of Maxwell nanofluid passing over a stretching surface. The governing partial differential equations are transformed into a system of ordinary differential equations by utilizing similarity transformations. An effective shooting technique of Newton is utilize to solve the obtained ordinary differential equations. Furthermore, we compared our results with the existing results for especial cases. which are in an excellent agreement. The effects of sundry parameters on the velocity, temperature and concentration distributions are examined and presented in the graphical form. These non-dimensional parameters are the velocity ratio parameter $(A)$, Biot number $(Bi$), Lewis number $(Le)$, magnetic parameter $(M)$, heat generation/absorption coefficients $left(A^*,B^*right)$, visco-elastic parameters $left(betaright)$, Prandtl number $(Pr)$, Brownian motion parameter $(Nb)$, Eckert number $left(Ecright)$, Radiation parameter $left(Rright)$ and local Grashof number $(Gc; Gr).$ An analysis is made to examine the viscous dissipation and thermal effects on magneto hydrodynamic mixed convection stagnation point flow of Maxwell nanofluid passing over a stretching surface. The governing partial differential equations are transformed into a system of ordinary differential equations by utilizing similarity transformations. An effective shooting technique of Newton is utilize to solve the obtained ordinary differential equations. Furthermore, we compared our results with the existing results for especial cases. which are in an excellent agreement. The effects of sundry parameters on the velocity, temperature and concentration distributions are examined and presented in the graphical form. These non-dimensional parameters are the velocity ratio parameter $(A)$, Biot number $(Bi$), Lewis number $(Le)$, magnetic parameter $(M)$, heat generation/absorption coefficients $left(A^*,B^*right)$, visco-elastic parameters $left(betaright)$, Prandtl number $(Pr)$, Brownian motion parameter $(Nb)$, Eckert number $left(Ecright)$, Radiation parameter $left(Rright)$ and local Grashof number $(Gc; Gr).$