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What is a good estimation of flow rate as a function of pressure difference with turbulent flow?

MIT 8.01 Physics I Classical Mechanics, Fall 1999
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Whether a flow will result in laminar or turbulent flow is primarily determined by the Reynolds number, Re = ρvD μ density is ρ , diameter of pipe is D , fluid velocity is v and viscosity is μ . • The flow is laminar for Re < 2000 • The flow is transitional between 2000 < Re < 4000 • The flow is turbulent for Re > 4000 Values depend on shape of pipe, roughness, shape of pipe inlet. The limits are also soft numbers

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