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| Content with equations: By assuming steady-state, incompressible, inviscid, laminar flow in a horizontal pipe (no change in elevation) with negligible frictional losses, Bernoulli's equation reduces to an equation relating the conservation of energy between two points on the same streamline: | LaTeX Math Block |
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| p_{in} + \frac{1}{2} \rho v^2_{in} = p_{out} + \frac{1}{2} \rho v^2_{out} |
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| \Delta p = p_{in} - p_{out} = \frac{1}{2} \rho v^2_{out} - \frac{1}{2} \rho v^2_{in} = \frac{1}{2} \rho v^2_{out} \cdot \left[ 1 - \frac{v^2_{in}}{v^2_{out}} \right] |
The mass conservation (equivalent to continuity equation) | LaTeX Math Block |
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| \Deltaf(x) = \frac{\partial F}{\partial t} |
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See also
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Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS)
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