OHAM analysis of fourth-grade nanomaterial in the presence of stagnation point and convective heat-mass conditions

Abstract

ABSTRACT In this paper stagnation point flow of fourth-grade fluid toward a porous stretching sheet is modeled. Convective conditions of heat and mass transfer are utilized. Problem formulation consists of Brownian motion and thermophoresis effects. Two-dimensional expressions for flow, temperature and concentration are presented. Resulting systems are reduced into ordinary differential equations (ODEs). Computations to the nonlinear system are organized by employing the optimal homotopy analysis method (OHAM). Average residual error (ARE) and average square residual error (ASRE) are computed and analyzed. Physical interpretations to velocity, temperature, concentration, skin friction, and Nusselt and Sherwood numbers are arranged. Velocity profile boosts with higher estimations of material parameters (fluid parameters), injection, and velocity ratio parameters. Decay in temperature in noticed for higher Prandtl number. Intensification in concentration is examined with higher thermophoresis parameter and mass Biot number. Skin friction coefficient reduces for higher velocity ratio parameter. Heat transfer rate (Nusselt number) boosts with Prandtl and thermal Biot numbers. Sherwood number increases with higher Schmidt and mass Biot numbers.