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BH40A1453 Fluid Mechanics II - Blended teaching 3.3.2025-20.4.2025

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In Buckingham PI theorem  a dimensionless parameter, like angle of attack α,

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With Buckingham Π theorem a good choice for repeating parameters is often in fluid mechanics

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With Buckingham Π theorem number of variables due to Π groups

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Circular cylinder with diameter  2 mm  (von Karman vortices) is open to  wind speed 10 m/s ( = 1510-6 m2/s). The frequency  is (Hint: calculate Re_d and look from chart Strouhal Sr value)

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When Mach number Ma is less than 0.3, gas flow can be considered as

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Froude number Fr is ratio of

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 y+ means

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Reynolds number for pipe flow can defined

w is velocity,  is density, d is pipe diameter, is viscosity (kg/ms), is kinematic viscosity (m2/s), qm is mass flow rate and Q is volume flow rate

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In  calculation of the pipe flow is used a chart with dimensionless groups (f, Re, ε/D). It is called

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The most important dimensionless group in fluid mechanics is

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