# lecture 8 - Thermal and Fluids Engineering I Lecture 8...

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Thermal and Fluids Engineering I Lecture 8 Page 1 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 ρρ == 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:

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Thermal and Fluids Engineering I Lecture 8 Page 2 r FF = l Pressure in a fluid at rest is only a function of z , not x . () P fz = P fx The Manometer 23 P gP ρ += l 13 P l 12 P P = 21 atm P Pg h P =+ = The manometer actually measures the gage pressure
Thermal and Fluids Engineering I Lecture 8 Page 3 gage abs atm P PP =− gage P gh ρ = For two immiscible fluids of different density 31 1 2 AB P Pg h g h ρρ =+ + Consider a partitioned tank 34 P P = 12 P P

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Thermal and Fluids Engineering I Lecture 8 Page 4 23 P P = 12 P P The inclined manometer equivalent manometer sin h θ = l gas atm P gh P ρ =+ sin gas atm P gP l
Thermal and Fluids Engineering I Lecture 8 Page 5 The specific gravity is, by definition, the ratio of the density of

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## This note was uploaded on 04/08/2008 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 - Thermal and Fluids Engineering I Lecture 8...

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