Thermal analysis with binary sampling of stratification phenomena in Jeffrey liquid suspension: Exact solutions

Abstract

A thermal case study on a non-Newtonian fluid flow field resulting from a moving surface under the combined influence of solutal and thermal stratifications in convective flow regimes is presented in the current attempt. A perpendicular magnetic beam and a non-uniform heat source/sink are the physical manifestations of the temperature flow regime. The physical problem is interpreted mathematically in terms of a non-linear coupled differential system. The eventual flow differential equations in this direction are non-linear and, hence, difficult to obtain the exact solutions. Here, the exact solutions of the reduced ordinary differential equations are developed in the form of confluent hypergeometric function for Jeffrey fluid flow. The surface quantities, namely wall temperature and concentration gradients, are assessed for several significant physical domains. It is observed that the thermal profile of Jeffrey fluid is enriched by the contributions of the elasticity of the fluid, while temperature stratification contributes to diminishing the temperature distribution in the flow domain. Further, the mass transfer rate at the surface is enriched with solutal stratification and the Schmidt number.

Keywords

• Thermal and solutal stratifications
• Jeffrey fluid
• Stretching surface
• Heat source/sink
• Exact solutions