Analysis of Carreau fluid in the presence of thermal stratification and magnetic field effect

Abstract

In current article theoretical analysis is executed to examine flow features of Carreau fluid by conferring scintillating aspects of thermal stratification. Flow field equations are attained by incorporating infinite shear rate viscosity and magnetic field effects. Afterwards, the partial differential obtained from the fundamental laws of continuity, momentum and energy containing stratification aspects are attained. These consequent partial differential expressions are so intricate that it seems difficult to solve analytically. Therefore Prandtl layer approximation is capitalized to retain efficient parts of flow narrating differential equations. Then next step is to eradicate the in active parts of partial equations by implementing transformations. The solution structured of reduced system is acquired by self-coded shooting algorithm. The variation in physical profiles with respect to involved parameters is exhibited with the aid of graphs and tables. It is inferred that Carreau fluid behaves in opposite pattern for n > 1 (shear thickening) and n < 1 (shear thinning) liquid. It is also depicted that thermal stratification delineates the thermal distribution of fluid flow.