Mathematical model of temperature-dependent flow of power-law nanofluid over a variable stretching Riga sheet

Abstract

The present study explores the power law nanofluid flow over a variable Riga stretching sheet. The variable properties of thermal conductivity and viscosity under heat generation effects are explored in this analysis. Brownian motion, thermophoretic, and viscous dissipation effects are taken into account. The mathematical formulation in the form of partial differential equations is carried by boundary layer approximation. After applying the transformations, these differential equations are reduced into dimensionless ordinary differential equations. The dimensionless system is tackled through the ND solve method. The effect of involving parameters on the velocity, concentration, and temperature function is presented graphically while skin friction, Sherwood, and Nusselt numbers are described in terms of numerical data. Velocity profile shows a direct relation toward both variable viscosity and modified Hartmann number. The enhancement in variable thermal conductivity parameter, thermophoresis parameter, Eckert number, and heat generation parameter causes a significant rise in the temperature profiles, while the opposite is the case for Prandtl number. The concentration profiles expressed reduction by varying the Lewis number and Brownian motion parameter in the suction case, while it increased for an injection case. The concentration profile is observed increasing toward the thermophoresis parameter in the case of suction but it is reduced for the injection case.