ALSO called Hydraulic radius is defined as:\(R = \frac{{WETTED\;Area}}{{Wetted\;PERIMETER}}\)Calculation Wetted area, \(A = \frac{\pi }{4}{D^2} = \frac{\pi }{4}{m^2}\)Wetted perimeter, P = πDP = π × 1 = π mHydraulic radius, \(R = \frac{A}{P}\)= \(\frac{{\frac{\pi }{4}}}{\pi } = \frac{1}{4}\)R = 0.25 mNote:Other important relations:1. Hydraulic Depth (D)\(D = \frac{{Wetted\;Area}}{{Top\;Width}}\)2. The rate of change of wetted area with RESPECT to depth of flow is equal to top width i.e.\(\frac{{\;dA}}{{dy}} = T\)

"> ALSO called Hydraulic radius is defined as:\(R = \frac{{WETTED\;Area}}{{Wetted\;PERIMETER}}\)Calculation Wetted area, \(A = \frac{\pi }{4}{D^2} = \frac{\pi }{4}{m^2}\)Wetted perimeter, P = πDP = π × 1 = π mHydraulic radius, \(R = \frac{A}{P}\)= \(\frac{{\frac{\pi }{4}}}{\pi } = \frac{1}{4}\)R = 0.25 mNote:Other important relations:1. Hydraulic Depth (D)\(D = \frac{{Wetted\;Area}}{{Top\;Width}}\)2. The rate of change of wetted area with RESPECT to depth of flow is equal to top width i.e.\(\frac{{\;dA}}{{dy}} = T\)

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For a pipe of diameter 1 m when running full, the hydraulic mean depth will be:

Fluid Mechanics Open Channel Flow in Fluid Mechanics . 6 months ago

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Concept:The hydraulic mean depth or ALSO called Hydraulic radius is defined as:\(R = \frac{{WETTED\;Area}}{{Wetted\;PERIMETER}}\)Calculation Wetted area, \(A = \frac{\pi }{4}{D^2} = \frac{\pi }{4}{m^2}\)Wetted perimeter, P = πDP = π × 1 = π mHydraulic radius, \(R = \frac{A}{P}\)= \(\frac{{\frac{\pi }{4}}}{\pi } = \frac{1}{4}\)R = 0.25 mNote:Other important relations:1. Hydraulic Depth (D)\(D = \frac{{Wetted\;Area}}{{Top\;Width}}\)2. The rate of change of wetted area with RESPECT to depth of flow is equal to top width i.e.\(\frac{{\;dA}}{{dy}} = T\)

Posted on 13 Nov 2024, this text provides information on Fluid Mechanics related to Open Channel Flow in Fluid Mechanics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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