An analysis is presented for an unsteady boundary layer stagnation-point flow of a Newtonian fluid and the heat transfer towards a stretching sheet taking non-conventional partial slip conditions at the sheet.The self...An analysis is presented for an unsteady boundary layer stagnation-point flow of a Newtonian fluid and the heat transfer towards a stretching sheet taking non-conventional partial slip conditions at the sheet.The self-similar equations are obtained using similarity transformations and solved numerically by the shooting method.Effects of the parameters involved in the equations,especially velocity slip and thermal slip parameters on the velocity and temperature profiles,are analyzed extensively.It is revealed that due to the velocity and thermal slip parameters,the rate of heat transfer from the sheet and the wall skin friction change significantly.展开更多
An analysis of magnetohydrodynamic(MHD)boundary layer flow and heat transfer over a flat plate with slip condition at the boundary is presented.A complete self-similar set of equations are obtained from the governing ...An analysis of magnetohydrodynamic(MHD)boundary layer flow and heat transfer over a flat plate with slip condition at the boundary is presented.A complete self-similar set of equations are obtained from the governing equations using similarity transformations and are solved by a shooting method.In the boundary slip condition no local similarity occurs.Velocity and temperature distributions within the boundary layer are presented.Our analysis reveals that the increase of magnetic and slip parameters reduce the boundary layer thickness and also enhance the heat transfer from the plate.展开更多
This work reports the effects of magnetic field on an electrically conducting fluid with low electrical conductivity flowing in a smooth expanded channel. The governing nonlinear magnetohydrodynamic （MHD） equations ...This work reports the effects of magnetic field on an electrically conducting fluid with low electrical conductivity flowing in a smooth expanded channel. The governing nonlinear magnetohydrodynamic （MHD） equations in induction- free situations are derived in the framework of MHD approximations and solved numerically using the finite-difference technique. The critical values of Reynolds number （based on upstream mean velocity and channel height） for symmetry breaking bifurcation for a sudden expansion channel （1：4） is about 36, whereas the value in the case of the smooth expansion geometry used in this work is obtained as 298, approximately （non-magnetic case）. The flow of an electrically conducting fluid in the presence of an externally applied constant magnetic field perpendicular to the plane of the flow is reduced significantly depending on the magnetic parameter （M）. It is expansion （1：4） is about 475 for the magnetic parameter M found that the critical value of Reynolds number for smooth = 2. The separating regions developed behind the smooth symmetric expansion are decreased in length for increasing values of the magnetic parameter. The bifurcation diagram is shown for a symmetric smoothly expanding channel. It is noted that the critical values of Reynolds number increase with increasing magnetic field strength.展开更多
An analysis is carried out to study a steady magnetohydrodynamic(MHD)boundary layer flow of an electrically conducting incompressible power-law non-Newtonian fluid through a divergent channel.The channel walls are por...An analysis is carried out to study a steady magnetohydrodynamic(MHD)boundary layer flow of an electrically conducting incompressible power-law non-Newtonian fluid through a divergent channel.The channel walls are porous and subjected to either suction or blowing of equal magnitude of the same kind of fluid on both walls.The fluid is permeated by a magnetic field produced by electric current along the line of intersection of the channel walls.The governing partial differential equation is transformed into a self-similar nonlinear ordinary differential equation using similarity transformations.The possibility of boundary layer flow in a divergent channel is analyzed with the power-law fluid model.The analysis reveals that the boundary layer flow(without separation)is possible for the case of the dilatant fluid model subjected to suitable suction velocity applied through its porous walls,even in the absence of a magnetic field.Further,it is found that the boundary layer flow is possible even in the presence of blowing for a suitable value of the magnetic parameter.It is found that the velocity increases with increasing values of the power-law index for the case of dilatant fluid.The effects of suction/blowing and magnetic field on the velocity are shown graphically and discussed physically.展开更多
The magnetohydrodynamic(MHD)boundary layer slipflow and solute transfer over a porous plate in the presence of a chemical reaction are investigated.The governing equations were transformed into self-similar ordinary di...The magnetohydrodynamic(MHD)boundary layer slipflow and solute transfer over a porous plate in the presence of a chemical reaction are investigated.The governing equations were transformed into self-similar ordinary differential equations by adopting the similarity transformation technique.Then the numerical solutions are obtained by a shooting technique using the fourth order Runge-Kutta method.The study reveals that due to the increase in the boundary slip,the concentration decreases and the velocity increases.On the other hand,with an increase in the magneticfield and mass suction,both boundary layer thicknesses decreased.As the Schmidt number and the reaction rate parameter increases,the concentration decreases and the mass transfer increases.展开更多
文摘An analysis is presented for an unsteady boundary layer stagnation-point flow of a Newtonian fluid and the heat transfer towards a stretching sheet taking non-conventional partial slip conditions at the sheet.The self-similar equations are obtained using similarity transformations and solved numerically by the shooting method.Effects of the parameters involved in the equations,especially velocity slip and thermal slip parameters on the velocity and temperature profiles,are analyzed extensively.It is revealed that due to the velocity and thermal slip parameters,the rate of heat transfer from the sheet and the wall skin friction change significantly.
基金Supported by the National Board for Higher Mathematics(NBHM),DAE,Mumbai,India.
文摘An analysis of magnetohydrodynamic(MHD)boundary layer flow and heat transfer over a flat plate with slip condition at the boundary is presented.A complete self-similar set of equations are obtained from the governing equations using similarity transformations and are solved by a shooting method.In the boundary slip condition no local similarity occurs.Velocity and temperature distributions within the boundary layer are presented.Our analysis reveals that the increase of magnetic and slip parameters reduce the boundary layer thickness and also enhance the heat transfer from the plate.
基金support by the UGC(SAP),DSA-I in the Mathematics Department,Burdwan University,India
文摘This work reports the effects of magnetic field on an electrically conducting fluid with low electrical conductivity flowing in a smooth expanded channel. The governing nonlinear magnetohydrodynamic （MHD） equations in induction- free situations are derived in the framework of MHD approximations and solved numerically using the finite-difference technique. The critical values of Reynolds number （based on upstream mean velocity and channel height） for symmetry breaking bifurcation for a sudden expansion channel （1：4） is about 36, whereas the value in the case of the smooth expansion geometry used in this work is obtained as 298, approximately （non-magnetic case）. The flow of an electrically conducting fluid in the presence of an externally applied constant magnetic field perpendicular to the plane of the flow is reduced significantly depending on the magnetic parameter （M）. It is expansion （1：4） is about 475 for the magnetic parameter M found that the critical value of Reynolds number for smooth = 2. The separating regions developed behind the smooth symmetric expansion are decreased in length for increasing values of the magnetic parameter. The bifurcation diagram is shown for a symmetric smoothly expanding channel. It is noted that the critical values of Reynolds number increase with increasing magnetic field strength.
基金by the National Board for Higher Mathematics(NBHM),DAE,Mumbai,India.
文摘An analysis is carried out to study a steady magnetohydrodynamic(MHD)boundary layer flow of an electrically conducting incompressible power-law non-Newtonian fluid through a divergent channel.The channel walls are porous and subjected to either suction or blowing of equal magnitude of the same kind of fluid on both walls.The fluid is permeated by a magnetic field produced by electric current along the line of intersection of the channel walls.The governing partial differential equation is transformed into a self-similar nonlinear ordinary differential equation using similarity transformations.The possibility of boundary layer flow in a divergent channel is analyzed with the power-law fluid model.The analysis reveals that the boundary layer flow(without separation)is possible for the case of the dilatant fluid model subjected to suitable suction velocity applied through its porous walls,even in the absence of a magnetic field.Further,it is found that the boundary layer flow is possible even in the presence of blowing for a suitable value of the magnetic parameter.It is found that the velocity increases with increasing values of the power-law index for the case of dilatant fluid.The effects of suction/blowing and magnetic field on the velocity are shown graphically and discussed physically.
基金gratefully acknowledges the financial support from the National Board for Higher Mathematics(NBHM),DAE,Mumbai,India to pursue this work.
文摘The magnetohydrodynamic(MHD)boundary layer slipflow and solute transfer over a porous plate in the presence of a chemical reaction are investigated.The governing equations were transformed into self-similar ordinary differential equations by adopting the similarity transformation technique.Then the numerical solutions are obtained by a shooting technique using the fourth order Runge-Kutta method.The study reveals that due to the increase in the boundary slip,the concentration decreases and the velocity increases.On the other hand,with an increase in the magneticfield and mass suction,both boundary layer thicknesses decreased.As the Schmidt number and the reaction rate parameter increases,the concentration decreases and the mass transfer increases.
