Lecture 07 Notes - EGN 3353C Fluid Mechanics Lecture 7...

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EGN 3353C Fluid Mechanics Lou Cattafesta MAE Dept. University of Florida Lecture 7 Pressure Forces on Curved Submerged Surface & Buoyancy/Stability x y z 0 zz = h dA G x dA z dA y dA ± Slightly more involved than a planar surface ± Hydrostatic force on a differential element dA G acts (inward) to surface but varies with location due to surface curvature ˆ ˆˆ xy z R A RR R F dF pdA Fi F j Fk == =+ + ∫∫ G G G ± Take dot product x R Rx F i F pdA i pdA ⋅= =− ⋅=− G G ± Similarly , yz R yR z F pdA F pdA ± Magnitude of force component l is l R l Fp d A = where l dA = projection of dA on a plane l direction ± Solve each component just like planar case! Line of action or each component found just like planar case. ± Direction can be seen by inspection
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EGN 3353C Fluid Mechanics Lou Cattafesta MAE Dept. University of Florida ± Special Case when free surface is at atmospheric pressure N z VR z z d F F pdA g hdA g d g ρρ ρ = == = = ∫∫ o V F = weight of fluid between the submerged and free surfaces o
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This note was uploaded on 08/17/2011 for the course EGN 3353C taught by Professor Lear during the Spring '07 term at University of Florida.

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Lecture 07 Notes - EGN 3353C Fluid Mechanics Lecture 7...

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