Dual Solutions of Nanofluid Boundary Layer Flow Over an Inclined Stretching Sheet with Mixed Convection Slip Boundary Condition

Abstract

This study explores heat transfer in nanofluid boundary layers over a stretching sheet, incorporating the effects of a magnetic field. The analysis considers thermal slip and second-order velocity slip boundary conditions. Using a similarity transformation, the governing partial differential equations are converted into ordinary differential equations, which are then numerically solved using the fourth-order Runge-Kutta (RK4) method. The impact of key governing parameters on temperature, nanoparticle concentration, dimensionless velocity, and the skin friction coefficient is examined. A dual solution is identified for velocity profiles, skin friction, and local skin friction coefficients, revealing a significant dependence on the second-order velocity slip parameter. The effects of other parameters are also illustrated graphically for comprehensive understanding.