Study of directional control of heat transfer and flow control in the magnetohydrodynamic flow in cylindrical geometry

Abstract

Two-dimensional laminar electrically conducting flow and its heat transfer is considered and the control of heat transfer in different directions is analysed using a class of high accuracy numerical scheme in curvilinear coordinate system. Numerical flow solutions with temperature fields were obtained for range of Reynolds number 10 ? Re ? 40, Prandtl number 0.065 ? Pr ? 7 and Interaction parameter 0 ? N ? 5. For weak magnetic fields, the drag coefficient increases by 37% when the field direction is aligned with that of flow, and when the field is directed perpendicular to flow direction, it drastically increases by 390% for Re=40. For stronger magnetic field strengths, the drag coefficient increases like square root of interaction parameter. When no field is applied the heat transfer takes place in the entire region of downstream, but when the magnetic field is switched on, the direction of applied magnetic field influences the heat transfer to take place in the selected direction of the downstream by forming plumes in those directions. In contrast to a reduction in mean Nusselt number due to aligned magnetic field, the heat transfer increases due to transverse magnetic field. � 2016 Elsevier Inc.