Hydromagnetic radial stagnation-point flow of Casson fluid through a twisted cylinder: A computational investigation

Abstract

A cylinder that performs linear torsional motion with an applied magnetic field and heat transfer is the basic aim of our computational research which is associated with the impact of radial stagnation-point flow. This improves earlier research on the motion around a cylinder experiencing linear torsional motion without heat transfer. By transforming partial differential equations to ordinary differential equations, a nonlinear and coupled system of governing equations is created under the effect of many dimensionless variables. The Bvp4c method in MATLAB is used to numerically solve these equations. The nondimensional scale variable η=r*a2 plays an important role in finding the convergent solution, especially for the velocity components. The influence of different parameters on the axial velocity f′, azimuthal velocity g and temperature profile θ are illustrated graphically. Additionally, it also shows how the diverse character of physical parameters affects the azimuthal, and axial shear stresses, as well as the heat transport rates. The key findings of the study state that the f′′1 and g′1 wall stress are the strong function of R. Further f′′1 ids a weak function of σ whereas g′1 is a strong function of σ.