The figure shows a horizontal plate of width b (and very long in the direction into...

 

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The figure shows a horizontal plate of width b (and very long in the direction into the paper). The plate is supported on tracks running along the vertical wall located at x = 0, and the seal between the vertical wall and the plate is water tight. The plate is forced downward at a constant velocity, wd, towards a horizontal impermeable bottom. The gap between the bottom and the plate, of height h, is filled with water that is being squeezed out, as the plate moves downward, in such a way that it exits from below the plate as a free outflow (see figure). (a) Determine the horizontal velocity in the gap U as a function of x, wa and h. (b) Neglecting friction and unsteadiness and assuming that U is so large that U²/2g >> h, determine the pressure distribution along the bottom of the plate. Squeeze flurd under plate x = 0 x=0 plate b wd Air h water The figure shows a horizontal plate of width b (and very long in the direction into the paper). The plate is supported on tracks running along the vertical wall located at x = 0, and the seal between the vertical wall and the plate is water tight. The plate is forced downward at a constant velocity, wd, towards a horizontal impermeable bottom. The gap between the bottom and the plate, of height h, is filled with water that is being squeezed out, as the plate moves downward, in such a way that it exits from below the plate as a free outflow (see figure). (a) Determine the horizontal velocity in the gap U as a function of x, wa and h. (b) Neglecting friction and unsteadiness and assuming that U is so large that U²/2g >> h, determine the pressure distribution along the bottom of the plate. Squeeze flurd under plate x = 0 x=0 plate b wd Air h water

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A So let at a distance x from wall dx thick element that would be our control volume which ha... View the full answer