Mixed convective flow of Casson and Oldroyd-B fluids through a stratified stretching sheet with nonlinear thermal radiation and chemical reaction

Abstract

Non-Newtonian fluids flow with mixed convection has got the researcher’s attention due to its widespread application in engineering and manufacturing systems. Furthermore, the thermal radiation in convective thermal transmission plays a key role in regulating the thermal transmission. That’s why the authors’ interest comes to the point to present a detailed analysis of the mixed convective flow of Casson and Oldroyd-B fluids through a linearly stratified stretching sheet. Also, the flow of Casson and Oldroyd-B fluids are considered as chemically reactive, thermally radiative, and magnetized by a strong magnetic field. The mathematical model of the present analysis is presented in PDEs (partial differential equations) format which is transformed into ODEs (ordinary differential equations) by employing suitable variables. The transformed ODEs are treated with an analytical technique called HAM (Homotopy analysis method) which provides an analytical solution for both linear and nonlinear differential equations. Through the use of diagrams, the converging exploration of HAM is depicted. An interesting result has been introduced that, the streamlines of Casson liquid are highly affected by a strong magnetic field as compared to Oldroyd-B liquid. The strong magnetic field and buoyancy ratio parameter moderate the velocity profile, while an opposite trend is found in the motion of liquid by using mixed convectional factors. Additionally, the impacts of magnetic and buoyancy ratio parameters are greater for Oldroyd-B fluid as associated with Casson liquid. On the other hand, the mixed convection parameter is stronger for Casson liquid as equated to Oldroyd-B fluid. The present results have a great agreement with previously published results.