MHD MIXED CONVECTION FLOW OF HEAT-GENERATING/ABSORBING FLUID IN VERTICAL CONCENTRIC ANNULI WITH TIME PERIODIC BOUNDARY CONDITION: STEADY PERIODIC REGIME

摘要

The effects of heat-generating/absorbing fluid on the flow formation and heat transfer aspects of steady periodic fully developed mixed convection flow of viscous, incompressible, and electrically conducting fluid in vertical concentric annuli is studied in the presence of a magnetic field, where the outer surface of the inner cylinder is heated sinusoidally and the inner surface of the outer cylinder is kept at a constant temperature. The analysis is carried out for fully developed parallel flow and steady periodic regime. The governing dimensionless momentum and energy equations are separated into steady and periodic parts and solved analytically. The dimensionless temperature, velocity, pressure drop, and rate of heat transfer are shown graphically. The effects of dimensionless numbers and pertinent parameters such as heat generation/absorption, magnetic field, Prandtl number, and the dimensionless frequency onflow fields are explored. It is discovered that the increase of the heat generation parameter enhanced the rate of heat transfer whereas an increase of the heat absorption parameter reduced the rate of heat transfer.