In the present paper, we have considered the steady fully developed laminar natural convective flow in open ended vertical concentric annuli in the presence of a ra- dial magnetic field. The induced magnetic field pro...In the present paper, we have considered the steady fully developed laminar natural convective flow in open ended vertical concentric annuli in the presence of a ra- dial magnetic field. The induced magnetic field produced by the motion of an electrically conducting fluid is taken into account. The transport equations concerned with the con- sidered model are first recast in the non-dimensional form and then unified analytical solutions for the velocity, induced magnetic field and temperature field are obtained for the cases of isothermal and constant heat flux on the inner cylin- der of concentric annuli. The effects of the various phys- ical parameters appearing into the model are demonstrated through graphs and tables. It is found that the magnitude of maximum value of the fluid velocity as well as induced magnetic field is greater in the case of isothermal condition compared with the constant heat flux case when the gap be- tween the cylinders is less or equal to 1.70 times the radius of inner cylinder, while reverse trend occurs when the gap between the cylinders is greater than 1.71 times the radius of inner cylinder. These fields are almost the same when the gap between the cylinders is equal to 1.71 times the radius of inner cylinder for both the cases. It is also found that as the Hartmann number increases, there is a flattening ten- dency for both the velocity and the induced magnetic field. The influence of the induced magnetic field is to increase the velocity profiles.展开更多
The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical insulated walls.Influences of radiative heat flux,induced magnet...The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical insulated walls.Influences of radiative heat flux,induced magnetic field,and the Newtonian heating/cooling are taken.We found exact expressions for the temperature field,the velocity field,and the induced magnetic field by solving the set of dimensionless coupled governing equations.Further,we obtained the equations for induced current density,Nusselt number,skin frictions as well as mass flux.The influences of the several constraints like the magnetic,the radiation and the Newtonian heating/cooling on the profiles of the velocity,the temperature field,the induced magnetic field as well as the current density display with graphics.Moreover,the influence of these non-dimensional parameters on the skin frictions,the Nusselt number,and the mass flux is explored in tabular form.The outcome of the radiation raised the velocity,the temperature field,the induced magnetic field and the current density field in view of enhancing the thickness of the boundary layer.Also,the impact of Newtonian heating is to raise the velocity,temperature,induced magnetic field and induced current density,whereas all these fields have opposite behaviors in case of Newtonian cooling.展开更多
文摘In the present paper, we have considered the steady fully developed laminar natural convective flow in open ended vertical concentric annuli in the presence of a ra- dial magnetic field. The induced magnetic field produced by the motion of an electrically conducting fluid is taken into account. The transport equations concerned with the con- sidered model are first recast in the non-dimensional form and then unified analytical solutions for the velocity, induced magnetic field and temperature field are obtained for the cases of isothermal and constant heat flux on the inner cylin- der of concentric annuli. The effects of the various phys- ical parameters appearing into the model are demonstrated through graphs and tables. It is found that the magnitude of maximum value of the fluid velocity as well as induced magnetic field is greater in the case of isothermal condition compared with the constant heat flux case when the gap be- tween the cylinders is less or equal to 1.70 times the radius of inner cylinder, while reverse trend occurs when the gap between the cylinders is greater than 1.71 times the radius of inner cylinder. These fields are almost the same when the gap between the cylinders is equal to 1.71 times the radius of inner cylinder for both the cases. It is also found that as the Hartmann number increases, there is a flattening ten- dency for both the velocity and the induced magnetic field. The influence of the induced magnetic field is to increase the velocity profiles.
文摘The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical insulated walls.Influences of radiative heat flux,induced magnetic field,and the Newtonian heating/cooling are taken.We found exact expressions for the temperature field,the velocity field,and the induced magnetic field by solving the set of dimensionless coupled governing equations.Further,we obtained the equations for induced current density,Nusselt number,skin frictions as well as mass flux.The influences of the several constraints like the magnetic,the radiation and the Newtonian heating/cooling on the profiles of the velocity,the temperature field,the induced magnetic field as well as the current density display with graphics.Moreover,the influence of these non-dimensional parameters on the skin frictions,the Nusselt number,and the mass flux is explored in tabular form.The outcome of the radiation raised the velocity,the temperature field,the induced magnetic field and the current density field in view of enhancing the thickness of the boundary layer.Also,the impact of Newtonian heating is to raise the velocity,temperature,induced magnetic field and induced current density,whereas all these fields have opposite behaviors in case of Newtonian cooling.
