Theoretical analysis of nanofluid's random diffusion with chemical reaction over a stretchable rotating disk using Homotopy Analysis Method.

This paper deals with a steady flow model of Reiner-Rivlin nanofluid due to a stretchable rotating disk. Entropy optimization in Reiner-Rivlin nanofluid flow model consists of a system of non-linear differential equations. These non-linear equations are solved using Homotopy Analysis Method (HAM). A simple and closed form of an analytical expression for the nanofluid's velocity, temperature, concentration and entropy rate is derived. Impact of Radiation variable (Rd), Brinkman variable (Br), Prandtl number (Pr), Schmidt number (Sc), Thermophoretic variable (Nt), Brownian diffusion parameter (Nb), and chemical reaction parameter(γ) on the resultant kinetic expressions is discussed. Testing the label of convergence between the HAM solution and numerical (MATLAB) solution gives good agreement. Furthermore, numerical values of entrainment velocity, moment coefficient, and skin friction coefficient are computed and given in tabular form. [ABSTRACT FROM AUTHOR]