SCIENCE
W03 Design Theory Bernoulli_spr18.pptx

W03 Design Theory Bernoulli_spr18.pptx - W03 Design Theory...

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W03 Design Theory : The Basics As applied to fountains & moving water through a nozzle Bernoulli's Equation Pressure Height Velocity Continuity Equation Flow rate Major & Minor Losses
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Fluid Flow and Continuity Continuity tells us that whatever the mass of fluid in a pipe passing a particular point per second, the same mass must pass every other point in a second. The fluid is not accumulating or vanishing along the way. This means that where the pipe is narrower, the fluid is flowing faster Volume per unit time
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Bernoulli’s Equation The general case, where both height and speed may change, is described by Bernoulli’s equation: This equation is essentially a statement of conservation of energy in a fluid.
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Continuity and Compressibility Most gases are easily compressible; most liquids are not. Therefore, the density of a liquid may be treated as constant (not true for a gas). mass flow is conserved volume flow is conserved
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Bernoulli’s Equation When a fluid moves from a wider area of a pipe to a narrower one, its speed increases; therefore, work has been done on it. The kinetic energy of a fluid element is: Equating the work done to the increase in kinetic energy gives:
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Bernoulli’s Equation Where fluid moves faster , pressure is lower
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The Continuity Equation Why does a hose with a nozzle shoot water further?
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