Nonlinear buoyancy driven MHD Reiner–Rivlin nanoliquid flow with quadratic radiation

Abstract

The present study investigates the dynamics of Reiner–Rivlin nanofluid flow past an inclined flat plate considering quadratic radiation, external magnetic field and nonlinear buoyancy. Appropriate similarity transformations are employed to transform the mathematically modeled equations and are then resolved using the finite-difference based bvp5c scheme, which implements the four-stage Lobatto IIIa formula, in MATLAB. A comparative study between the transport phenomena of non-Newtonian and Newtonian case is also performed. It is observed that the Newtonian case exhibit higher solutal and thermal fields when compared to the non-Newtonian case. However, the results are reversed in the case of velocity profile. The Reiner–Rivlin nanofluid has improved heat transfer rate and drag coefficient characteristics than the Newtonian fluid. Augmentations in the inclination angle descend the velocity profile and ascend the thermal and solutal fields. The increment in the radiation parameter and Hartmann number causes an increment in the nanoliquid temperature. It is also observed that the velocity profile is directly proportional to the changes in the buoyancy ratio. Moreover, the present study has applications in the field of plasma studies, aerodynamics, and cooling systems.