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Unformatted text preview: Bertrand Dano Bertrand Dano Topic#1: Fluid sciences Bertrand Dano The Bernoulli equation P + U2 + gh = cte P 1 + 1 U 1 2 + 1 gh 1 = P 2 + 2 U 2 2 + 2 gh 2 The Bernoulli Equation is Listed in Michael Guillen's book "Five Equations that Changed the World: The Power and Poetry of Mathematics" Daniel Bernoulli (17001782) Newtons Second Law is the Governing Equation Applied to an Idealized Flow and Assumes Inviscid Flow There are numerous assumptions Most Used and Abused Equation Bertrand Dano Application of Bernoullis equation The Pitot tube Pitot tube Boeing 747 Pitot tube Cessna 152 Pitot tube P atm P atm U U Measure the total pressure Measure the static pressure Bertrand Dano P 1 + U 1 2 = P 2 + U 2 2 Application of Bernoullis equation The Pitot tube Pitot tube P atm P atm U U P 1 + U 1 2 + 1 gh 1 = P 2 + U 2 2 + 2 gh 2 1 2 ) ( 2 1 2 1 P P U = Velocity can be obtained by measuring the difference between the total and static pressure Measure the total pressure Measure the static pressure Bertrand Dano Application of Bernoullis equation P 1 + U 1 2 + 1 gh 1 = P 2 + U 2 2 + 2 gh 2 2 1 P atm P atm U 2 H P + U2 + gh = cte g(h 2h 1 ) = U 2 gH = U 2 2gH U = U 1 very small Physical Interpretation: All the particles potential energy is converted to kinetic energy assuming no viscous dissipation. Bertrand Dano Pressure driven jet Laminar jet Instabilities Bertrand Dano Pressure driven jet Laminar jet Surface tension Turbulent jet Bertrand Dano Pressure driven jet As H decreases, U decreases too 2gH U = Bertrand Dano Fluid properties: surface tension & viscosity Bertrand Dano LIQUID Vapor Attractive force between molecules At the interface between a liquid and a gas or two immiscible liquids, forces develop forming an analogous skin or membrane stretched over the fluid mass which can support weight....
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This note was uploaded on 11/15/2010 for the course PHYSICS 122 taught by Professor Bertranddano during the Winter '08 term at Shoreline.
 Winter '08
 BertrandDano

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