Magnetohydrodynamic mixed convection flow in vertical concentric annuli with time periodic boundary condition: Steady periodic regime

摘要: This work reports an analytical solution for fully developed mixed convection flow of viscous, incompressible, electrically conducting fluid in vertical concentric annuli under the influence a transverse magnetic field, where outer surface inner cylinder is heated sinusoidally and kept at constant temperature. The analysis carried out parallel steady-periodic regime. governing dimensionless momentum energy equations are separated into steady periodic parts solved analytically. Closed form solutions expressed terms modified Bessel function first second kind. each parameters such as field parameter, Prandtl number frequency heating on formation thermal behaviour discussed with aid graphs. During course investigation, it found that oscillation amplitude friction factor maximized resonance near there heating. Furthermore, increasing decreases factor.