Numerical investigation on thermoand#64258;uidic properties of inclined magnetoconvective and#64258;ow across a cylinder under varying thermal boundary conditions

Abstract

A fourth-order compact finite difference scheme (FOCFDS) has been developed in cylindrical geometry to investigate the thermo-physical behavior of the convective heat transfer subjected to various orientations of magneto-convective flow under different thermal boundary conditions. The FOCFDS is able to capture complex flow phenomena, offering smooth numerical solutions with fourth-order accuracy even with relatively coarse grids. The resulting discretized equations are then solved by an unconditionally stable pseudo-time iterative technique. This scheme efficiently converts the nine-banded matrix equations to two tri-diagonal matrix equations, which minimizes the computational cost. Initially, this numerical scheme (FOCFDS) is employed to examine the impact of various magnetohydrodynamic (MHD) flow orientations on forced convection over a cylinder subjected to uniform heat flux (UHF) boundary condition. Thereafter, the thermal buoyancy effect is analyzed due to the imposition of a transverse magnetic field under constant wall temperature (CWT) boundary condition in cylindrical geometry. Furthermore, the impact of the inclined magnetic field on mixed convective cross-flow is extensively investigated across the cylinder using the same scheme in for both CWT and UHF conditions. Finally, this scheme is utilized to capture the superimposed thermal buoyancy behavior due to different angles of attack of the free-stream under UHF condition in cylindrical geometry. The present investigation explores the flow and thermal characteristics of magneto-convective heat transfer around a circular cylinder, analyzing key physical parameters through streamlines, vorticity distribution contour plot, pressure, viscous and total drag coefficients, surface pressure variations, and thermal behavior, including isotherm distributions, local and mean Nusselt numbers together with associated entropy generation.