An analysis was made to study the steady momentum and heat transfer characteristics of a viscous electrically conducting fluid near a stagnation point due to a stretching/shrinking sheet in the presence of a transvers...An analysis was made to study the steady momentum and heat transfer characteristics of a viscous electrically conducting fluid near a stagnation point due to a stretching/shrinking sheet in the presence of a transverse magnetic field and generalized slip condition. Two flow problems corresponding to the planar and axisymmetric stretching/shrinking sheet were considered. By means of similarity transformations, the obtained resultant nonlinear ordinary differential equations were solved numerically using a shooting method for dual solutions of velocity and temperature profiles. Some important physical features of the flow and heat transfer in terms of the fluid velocity, the temperature distribution, the skin friction coefficient and the local Nusselt number for various values of the controlling governing parameters like velocity slip parameter, critical shear rate, magnetic field, ratio of stretching/shrinking rate to external flow rate and Prandtl number were analyzed and discussed. An increase of the critical shear rate decreases the fluid velocity whereas the local Nusselt number increases. The comparison of the present numerical results with the existing literature in a limiting case is given and found to be in an excellent agreement.展开更多
In order to study the penetration depth and the spread width in a transverse jet, a flow-visualization based experimental setup was built.A phase tunable laser and CCD system was employed, and several jet to crossflow...In order to study the penetration depth and the spread width in a transverse jet, a flow-visualization based experimental setup was built.A phase tunable laser and CCD system was employed, and several jet to crossflow velocity ratio (r=2, 4, 8, 12, 16) were investigated.Experimental results showed that the jet to crossflow velocity ratio is the key parameter to control the penetration depth and the blending law of the jet, and that larger jet to crossflow velocity ratio resulted in much deeper penetration depth.The experimental data agreed well with the previous reports, and predicting formula was derived as the fitting equation y/rd=1.3615(x/rd)0.5608 with the correlation coefficient R=0.9996.On the other hand, the larger jet to crossflow velocity ratio is not the greater access to the spread width, and in this work, the case of r=8 obtained the largest spread width, and the spread width remains relatively large in a large penetration zone.展开更多
文摘An analysis was made to study the steady momentum and heat transfer characteristics of a viscous electrically conducting fluid near a stagnation point due to a stretching/shrinking sheet in the presence of a transverse magnetic field and generalized slip condition. Two flow problems corresponding to the planar and axisymmetric stretching/shrinking sheet were considered. By means of similarity transformations, the obtained resultant nonlinear ordinary differential equations were solved numerically using a shooting method for dual solutions of velocity and temperature profiles. Some important physical features of the flow and heat transfer in terms of the fluid velocity, the temperature distribution, the skin friction coefficient and the local Nusselt number for various values of the controlling governing parameters like velocity slip parameter, critical shear rate, magnetic field, ratio of stretching/shrinking rate to external flow rate and Prandtl number were analyzed and discussed. An increase of the critical shear rate decreases the fluid velocity whereas the local Nusselt number increases. The comparison of the present numerical results with the existing literature in a limiting case is given and found to be in an excellent agreement.
文摘In order to study the penetration depth and the spread width in a transverse jet, a flow-visualization based experimental setup was built.A phase tunable laser and CCD system was employed, and several jet to crossflow velocity ratio (r=2, 4, 8, 12, 16) were investigated.Experimental results showed that the jet to crossflow velocity ratio is the key parameter to control the penetration depth and the blending law of the jet, and that larger jet to crossflow velocity ratio resulted in much deeper penetration depth.The experimental data agreed well with the previous reports, and predicting formula was derived as the fitting equation y/rd=1.3615(x/rd)0.5608 with the correlation coefficient R=0.9996.On the other hand, the larger jet to crossflow velocity ratio is not the greater access to the spread width, and in this work, the case of r=8 obtained the largest spread width, and the spread width remains relatively large in a large penetration zone.
