eng_103_midterm_exam_sample_pb_1_txt - V if the plate is...

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[1] 1. (Viscous stress --- 25 pts) A thin plate of large area is placed midway in a small gap of height, h, filled with oil having a viscosity µ 0 . If the plate is pulled with a force, F , a constant velocity, V , results. Now a lighter oil of viscosity 1 is placed in the gap and it is found that the same force, F , will pull the plate at the same velocity,
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Unformatted text preview: V , if the plate is unsymmetrically placed in the gap but still parallel to the walls. Assume a linear velocity distribution in the fluid. Find the viscosity 1 in terms of , h and the distance to the nearer wall, a . h 2 h V F , 1 V F , a h − a Condition #1 Condition #2...
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