Shahrood University of Technology Journal of Solid and Fluid Mechanics 2251-9475 3 2 2013 11 23 Numerical solution of a uniform magnetic field effect on the free convection heat transfer from a vertical plate Numerical solution of a uniform magnetic field effect on the free convection heat transfer from a vertical plate 65 75 196 10.22044/jsfm.2013.196 FA Cyrus Aghanjafi Journal Article 2013 03 05 In this paper, we are considering the effect of uniform magnetic field on the velocity and temperature profile in the boundary layer and at the end the free convection heat transfer rate from vertical plates are studied. Writing energy and momentum equations with considering magnetic field effects. By help of appropriate similarity parameter and use of stream function and with Rewriting energy and momentum equations in term of stream function, all partial differential equations converted to the ordinary differential equations. At the end with the help of fourth order Range-kutta method, all equations were solved. It is revealed that with increasing magnetic field parameter, the fluid velocity in the boundary layer decreased and in other hand, the temperature in the boundary layer increased and the heat transfer rate from vertical plate decreased. It is proved that the assumed magnetic field caused to decrease about 15% in the heat transfer rate from vertical plate. In this paper, we are considering the effect of uniform magnetic field on the velocity and temperature profile in the boundary layer and at the end the free convection heat transfer rate from vertical plates are studied. Writing energy and momentum equations with considering magnetic field effects. By help of appropriate similarity parameter and use of stream function and with Rewriting energy and momentum equations in term of stream function, all partial differential equations converted to the ordinary differential equations. At the end with the help of fourth order Range-kutta method, all equations were solved. It is revealed that with increasing magnetic field parameter, the fluid velocity in the boundary layer decreased and in other hand, the temperature in the boundary layer increased and the heat transfer rate from vertical plate decreased. It is proved that the assumed magnetic field caused to decrease about 15% in the heat transfer rate from vertical plate. https://jsfm.shahroodut.ac.ir/article_196_f3e6ffc89bc5ee776142043ce80924d6.pdf