Lecture 8 Fluid Statics - Thermal and Fluids Engineering I...

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Thermal and Fluids Engineering I Prof. Deborah A. Kaminski Lecture 8 – Fluid Statics Variation of Pressure with Depth in a Fluid Consider a tank filled with water and exposed to the atmosphere: Perform a force balance in the z direction on the control volume enclosed by dotted lines. Fm g = mV ρ = FV g hAg == tb FF F += () atm hAg P A P h A The pressure at depth, h , is given by atm P hP g h =+ Suppose we perform a horizontal force balance on the control volume: Lecture 8 Page 1
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Thermal and Fluids Engineering I Prof. Deborah A. Kaminski r FF = A Pressure in a fluid at rest is only a function of z , not x . () P fz = ( ) P fx The Manometer 23 P gP ρ += A 13 P A 12 P P = 21 atm P Pg h P =+ = The manometer actually measures the gage pressure Lecture 8 Page 2
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Thermal and Fluids Engineering I Prof. Deborah A. Kaminski gage abs atm P PP =− gage P gh ρ = For two immiscible fluids of different density 31 1 AB 2 P Pg hg h =+ + Consider a partitioned tank 34 P P = 12 P P Lecture 8 Page 3
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Thermal and Fluids Engineering I Prof. Deborah A. Kaminski 23 P P = 12 P P The inclined manometer equivalent manometer sin h θ = A gas atm P gh P ρ =+ sin gas atm P gP A Lecture 8 Page 4
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Thermal and Fluids Engineering I Prof. Deborah A. Kaminski
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This note was uploaded on 04/06/2009 for the course ENGR 2250 taught by Professor Borca-tasciuc during the Spring '08 term at Rensselaer Polytechnic Institute.

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Lecture 8 Fluid Statics - Thermal and Fluids Engineering I...

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