Abstract
In this paper, we studied the effects of thermal radiation, Joule heating and viscous dissipation on forced convection flow in a magnetohydrodynamics (namely MHD) pump in rectangular channel with uniform surface temperature. Numerical results were obtained by solving the nonlinear governing momentum and energy equations with steady state fully developed assumptions by finite difference method. The Lorentz force in momentum and Joule heating, and viscous dissipation in energy equation with the Rossel and approximation are assumed to increase the knowledge of the details of the temperature and flow field in order to design a MHD pump. The purpose of this study is the parametric study of a Newtonian fluid in a MHD pump. The values of maximum velocity, fully developed Nusselt number for different values of magnetic density flux, Brinkman number, viscous heating and radiation number are obtained. However, the maximum temperature stays almost constant with magnetic field, as current increases, the velocity and the temperature increase too. Besides, the increase of thermal radiation number causes the increase in effective thermal conductivity and decrease in thermal boundary layer and the Nusselt number at wall.
Highlights
Laminar heat transfer to incompressible viscous Newtonian and non-Newtonian fluids in tubes is a problem of considerable industrial significance, due to its application especially in heat exchanger designs, packed-bed combustors, catalytic converters, materials-processing applications, such as extrusion, metal forming, continuous casting, as well as wire and glass fiber drawing
Nield et al [4] investigated the thermal development of forced convection in a parallel plate channel filled by a saturated porous medium, with walls held at a uniform temperature, and with the effects of axial conduction and viscous dissipation included
A finite-difference code is used for solving momentum and energy equations and the velocity and the temperature field has been derived for the laminar, steady, convective heat-transfer problem in a Poiseuille flow between plane parallel plates with a simultaneous pressure-gradient and the Lorentz force
Summary
Laminar heat transfer to incompressible viscous Newtonian and non-Newtonian fluids in tubes is a problem of considerable industrial significance, due to its application especially in heat exchanger designs, packed-bed combustors, catalytic converters, materials-processing applications, such as extrusion, metal forming, continuous casting, as well as wire and glass fiber drawing. Nield et al [4] investigated the thermal development of forced convection in a parallel plate channel filled by a saturated porous medium, with walls held at a uniform temperature, and with the effects of axial conduction and viscous dissipation included. Hashemabadi et al [6] obtained an analytical solution to predict the fully-developed, steady and laminar heat-transfer of viscoelastic fluids between parallel plates Their results emphasized the significant effect of viscous heating on the Nusselt number. Recently Hamid et al [7] studied the effects of radiation on Marangoni convection over a flat surface, and Chamkha et al [8] studied that effect on a non-isothermal wedge not in a channel
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
