Boundary layer flow and heat transfer of a modified second grade nanofluid with new mass flux condition

Abstract

The purpose of the current problem is to analyze the nano boundary layer flow and heat transfer of the modified second grade fluid over a non-linearly stretching surface. A newly introduced boundary condition of zero nanoparticle mass flux is incorporated for the analysis. The appropriate local similarity transformations are employed to transform the modeled partial differential equations of momentum, temperature and concentration into coupled non-linear ordinary differential equations. The governing boundary value problem is numerically integrated by the help of shooting method along with Runge-Kutta Fehlberg scheme. The ascendancy of arising thermophysical parameters on the temperature and concentration profiles is graphically displayed. The detail study reveals that a decay in the nanoparticle concentration profile is found for growing values of the Brownian motion parameter while the increasing values of the thermophoresis parameter results in increment of the concentration of nanofluid. Moreover, the nanoparticle concentration became weaker with the developing values of the Lewis number. In addition, the numerical results are validated by providing exact solutions for special case and excellent compatibility between the two results is achieved. Keywords: Nano fluid, Heat transfer, Brownian motion, Thermophoresis