Transient flow of Maxwell Nanofluid Over a Shrinking Surface: Numerical Solutions and Stability Analysis

Abstract

This article explores the theoretical analysis for thermal and mass transport of Maxwell nanofluid along permeable shrinking surface. The thermal and concentration configuration involve heat generation/absorption and chemical reaction in the flow regime. Brownian motion and thermophoresis phenomenon are considered in the mass transport analysis. This physical configuration is translated in terms of nondimensional differential system. A numerical investigation of the governing equations is carried out with Bvp4c technique in MATLAB. Further, it has been found that shrinking and suction at porous surface leads to multiple solutions of the system. The results in terms of line graphs portray that the stronger suction at shrinking surface possess higher heat and mass transfer rate at surface. The heat transfer rate enhances by the larger values of Biot number. Further, the velocity, temperature and mass distribution indicate maximum values at stronger relaxation parameter.