Gear-generalized differential quadrature analysis of oscillatory convective Taylor-Couette flows of second-grade fluids subject to Lorentz and Darcy-Forchheimer quadratic drag forces

Abstract

Abstract Neglet of further analysis of Taylor-Couette flow problem is associated to the difficulty in research methodology for the examination of such transport phenomenon. However, little is known on the efficiency of Gear-Generalized Differential Quadrature Method (GGDQM) and thermal analysis across Taylor-Couette flow of second-grade fluid through Darcy-Forchheimer porous cylindrical medium subject to Lorentz force. The aforementioned research methodology was used to explore oscillatory magnetohydrodynamic (MHD) convective laminar flow of a second-grade fluid. The governing equations for the proposed fluid flow model are derived and simplified with the aid of suitable transformations in order to obtain nonlinear dimensionless set of partial differential equations (PDEs). The numerical solution of the corresponding problem was obtained using Gear-Generalized Differential Quadrature Method to provide appropriate graphical and tabular results in terms of velocity and temperature profiles, as well as the skin friction coefficient and Nusselet number on the surface of the inner cylinder. It is worth concluding that the elasticity of the fluidic medium has an enhancing influence on the dynamical and thermal features of the dynamics. However, the porosity characteristics of the medium together with the strength of the applied magnetic field exhibit a revere trend towards the velocity and temperature distributions.