A new mathematical model for a flexible blade coater is proposed and analysed for slip and magnetohydrodynamic (MHD) effects in blade coating process. The slip is considered at the blade surface and magnetic field is imposed normal to the flow. To obtain the velocity profile, pressure, pressure gradient, volumetric flow rate and maximum pressure both exact and numerical solutions are utilized. In order to obtain the numerical solution shooting technique is applied. The interesting physical quantities like load and deflection are calculated and presented in graphical and tabulated form. The influence of the Hartman number the slip parameter and normalized coating thickness parameter on the flow and deflection are discussed graphically. In the presence of magnetic field and slip the fluid velocity and hence blade deflection can be controlled.

中文翻译：

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刮刀涂布过程中具有磁流体动力学和滑移效应的柔性刮刀涂布机数学建模

提出了一种新的柔性刮刀涂布机数学模型，并分析了刮刀涂布过程中的滑移和磁流体动力学 (MHD) 效应。在叶片表面考虑滑移，磁场垂直于流动。为了获得速度分布、压力、压力梯度、体积流量和最大压力，使用精确和数值解。为了获得数值解，应用了射击技术。有趣的物理量，如载荷和挠度，以图形和表格形式计算和呈现。哈特曼数、滑移参数和归一化涂层厚度参数对流动和偏转的影响进行了图形讨论。在存在磁场和滑移的情况下，可以控制流体速度，从而控制叶片偏转。