Modified kinematic viscosity model for 3D-Casson fluid flow within boundary layer formed on a surface at absolute zero

Abstract

Three-dimensional Casson fluid flow towards a stagnation-point and a surface on which the heat energy falls at lower limit of thermodynamic temperature scale in the presence of cross diffusion is investigated. The flow is induced by a pressure-gradient and impulsive. We modified the space-dependent heat source in such a way that the uniform distribution of internal heat-source, also satisfies the wall and free stream temperatures. Also, the influence of heat energy on plastic dynamic viscosity is investigated by considering the relationship between the intermolecular forces holding the molecules of Casson fluid. The modified kinematic viscosity model suitable for the flow is presented. The governing equations are non-dimensionalized by using suitable similarity transformation, which unravels the behavior of the fluid flow at short-time and long-time period. The effects of pertinent parameters on the flow, heat and mass transfer is discussed with the help of graphs. Local Nusselt and Sherwood numbers are computed and presented through tables. Obtained results are validated and found a favorable agreement. It is observed that the Soret and Dufour parameters have tendency to control the thermal and concentration boundary layers as well as the heat and mass transfer rate.