Entropy optimization in a fourth grade nanofluid flow over a stretchable Riga wall with thermal radiation and viscous dissipation

Abstract

Abstract In the last few decade nanoparticles provide numerous challenged in the many field of science. The nanoparticles suspended in different base liquids can transform the flow of fluids and heat transformation properties. Keeping this fact in mind this research article communicated theoretically to study the collective effects of mixed convective radiative fourth grade nano-fluid flow past a stretchable Riga wall in the presence of viscous dissipation and Cattaneo-Christov (CC) model which has not been studied so far. The research takes into account the impacts of thermophoresis and Brownian motion in conjunction with convective condition. This analysis also precisely introduces a more specific boundary constraint and heat and mass transfer analysis for nano-fluid flow model. For instance Cattaneo-Christov double diffusion and Nield condition has been introduce for the first time for two dimensional fourth grade nanoliquid model as far as the stretchable Riga plate is concerned. The system of partial differential equations (PDEs) is transmuted into ordinary differential equations (ODEs) using the necessary transformations. Using the optimal homotopic method to estimated analytical solutions are computed. In addition, the effects of different parameters are deliberated and depicted by appropriate graphs.