Class06a - Steady Flow of Incompressible Fluid Static...

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1/20/12 Oregon State University PH 202, Lecture 6a 1 Steady Flow of Incompressible Fluid Static pressure is just that—static. Its equations apply only when the fluid is at rest. But what if that fluid is moving? What relationships exist between pressure, depth and speed in a steady flow of incom- pressible fluid? To find out, we go back to basics— and quickly arrive at two useful fluids equations. Conservation of mass: The Equation of Continuity Steady flow” means the same mass per second flows past any given point. (And in an incompressible fluid, the particles don’t “bunch together” or “spread out” within the flow.) Conservation of energy: Bernoulli’s Equation Unless external work is done on a given mass of fluid, its total mechanical energy remains constant.
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1/20/12 Oregon State University PH 202, Lecture 6a 2 Continuity: Constant Mass Flow Rate What you put into a pipe has to come out of the pipe. By definition, steady flow means that the same amounts of mass must both enter and exit the pipe each second; the mass flow rate is constant : This must be true at every point in the pipe . After all, the “exit” to
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This note was uploaded on 03/10/2012 for the course PH 202 taught by Professor Staff during the Winter '08 term at Oregon State.

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Class06a - Steady Flow of Incompressible Fluid Static...

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