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UNSTEADY HYDROMAGNETIC COUETTE FLOW DUE TO RAMPED MOTION OF ONE OF THE POROUS PLATES

机译:由于多孔板之一的剧烈运动而产生的非稳态磁流变

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An unsteady flow formation in Couette motion of an electrically conducting fluid subject to transverse magnetic field has been analyzed in the presence of suction/injection through the porous plates when one of the porous plates is in ramped motion. It is assumed that the porous plates are uniformly permeable and the fluid is entering the flow region through one of the porous plates at same rate as it is leaving through the other porous plate. The resulting boundary value problem has been solved exactly under the assumption of a negligible induced magnetic field, external electric field and pressure gradient. Unified closed form expressions for the velocity field and skin-friction corresponding to the case of a magnetic field fixed relative to the fluid or to the moving porous plate have been presented. In order to highlight the impact of the ramp motion of the porous plate on the fluid flow, it has also been compared with Couette flow between porous plates when one of the porous plates has been set into an impulsive motion.%Couette flow; transverse magnetic field; suction/injection; MHD; ramp motion; Hartmann number; porous plates
机译:当多孔板中的一个处于倾斜运动时,在存在通过多孔板的抽吸/注入的情况下,已经分析了经受横向磁场的导电流体在库埃特运动中的不稳定流动形成。假设多孔板是均匀可渗透的,并且流体以与穿过另一多孔板离开的速率相同的速率通过一个多孔板进入流动区域。由此产生的边界值问题已经在可忽略的感应磁场,外部电场和压力梯度的假设下得到了精确解决。已经提出了速度场和皮肤摩擦的统一的闭式表达式,对应于相对于流体或移动的多孔板固定的磁场的情况。为了突出多孔板的倾斜运动对流体流动的影响,还已经将多孔板中的一个多孔板设置为脉冲运动时,将其与多孔板之间的库埃特流进行了比较。横向磁场抽吸/注射MHD;斜坡运动哈特曼数多孔板

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