Investigation of viscous dissipation and entropy generation in third grade nanofluid flow over a stretched riga plate with Cattaneo-Christov Double Diffusion (CCDD) model

Abstract

Fluid flow and heat transport by a stretched surface is most important and significant area of research in mechanical and industrial engineering due to numerous applications. The influence of heat transport is seen in the field of polymer processing, metallurgy and chemical engineering, manufacturing of artificial films, food stuff processing, aerodynamics extrusion of plastic sheets, hot rolling, glass fiber production, metal spinning, metal extrusion, drawing of plastic films and wires and paper production. In view of the above applications, we have modeled two-dimensional, steady and incompressible flow of non-Newtonian fluid (third grade) over a stretched Riga surface with Cattaneo-Christov Double Diffusion (CCDD) model. Stagnation point flow is considered and the flow is generated due to stretched Riga surface. Furthermore, Cattaneo-Christov Double Diffusion concept is used instead of Fourier’s and Fick’s laws to model the energy and concentration equations. Important slip mechanisms of Buongiorno nanofluid model i.e., Brownian motion and thermophoresis diffusion are considered for the transportation of heat and mass transfer. Nield condition is imposed at the stretched boundary surface. Total entropy rate is calculated and discussed through second law of thermodynamics and important pertinent flow parameters. Appropriate similarity variable leads to system of ordinary ones and total residual error and convergence rate are obtained via Optimal Homotopy Analysis Method (OHAM). The influence of parameters on the velocity, temperature, concentration and skin friction coefficient are discussed graphically.