Problem 4.124 - Problem *4.124 [Difficulty: 5] Given:...

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Problem *4.124 [Difficulty: 5] Given: Plates coming together Find: Expression for velcoity field; exit velocity; plot Solution: Apply continuity using deformable CV as shown Basic equation: = 0 Assumptions: Incompressible, uniform flow Given data: V 0 0.01 m s = h 0 2mm = R 100 mm = Continuity becomes or t π r 2 h () V2 π r h + 0 = π r 2 dh dt π r h + π r 2 V 0 π r h + = 0 = Hence Vr V 0 r 2h = If V 0 is constant hh 0 V 0 t = so Vrt ,
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