Magnetohydrodynamic Ferro-Nano fluid flow in a semi-porous curved tube under the effect of hall current and nonlinear thermal radiative

Abstract

Abstract Investigation of hall current as well as joule heating effects on the flow and heat transfer characteristics of Ferro-nanofluid flow through a curved tube studied in this work. This work meets a lot of engineering applications such as heat exchangers at low velocity conditions, collectors of solar energy, cooling devices of electronic and micro-electronic equipments and geophysical transport in electrically conducting. The modeling based on the momentum equations by incorporating the hall current effect as well as the energy equation by incorporating the joule heating and thermal radiative effects. Similarity transformation technique has been used to obtain non-linear ordinary differential system which solved analytically as a series solution using Differential Transformation Method (DTM) with associated of Pade approximation technique. The validation of the obtained results has been examined against a previous published works. The results confirm that the hall current has a direct and strong effect on the flow behavior, such that the presence of hall current reduces the flow pressure within the tube as well as increase the heat flux from the inner surface of the tube. Moreover a third component of velocity generates as well as a normal force called Lorentz force due to the presence of the hall current.