Analysis of Thermo-fluidic Properties of Mixed Convection Heat Transfer Due to Transverse Magnetic Field in Cylindrical Geometry

A numerical investigation is conducted to analyze the influence of transverse magnetic field on mixed convection heat transfer past an isothermal cylinder. A quasi-static model has been considered, and the Newtonian fluid flowing in a cross-stream regime satisfies the Boussinesq approximation. The nonlinear governing Navier–Stokes equation together with the energy equation is discretized utilizing a fourth-order accurate finite difference method. Consequently, the resulting discretized equations are solved with the aid of an unconditionally stable pseudo-time iterative technique, which enhances the robustness of the scheme by minimizing the computational cost. The thermo-fluidic properties have been analyzed in terms of interaction parameter (N), Prandtl number (Pr), Richardson number (Ri) and Reynolds number (Re). The notable findings indicate that the transverse magnetic field effectively suppresses the wake zone even for weaker strength of Ri and N. In forced convection, the flow structure retains its symmetry under the influence of the transverse magnetic field. In contrast, this symmetry is disrupted in case of mixed convection. The total drag coefficient ( \(C_D\) $C_D$ ) increases monotonically with rising values of Ri and N for any given Pr. Interestingly, at lower values of Ri and N, the \(C_D\) $C_D$ value exhibits non-monotonic behavior, which converts to a monotonic pattern at higher Ri and N values as Pr continues to increase. The average Nusselt number increases monotonically for growing values of concerned parameters Ri, N, Re and Pr. The rate of increment of heat transfer from aligned to transverse magnetic field is around \(50\%\) $50\%$ for higher values Pr and N.