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현재 위치

diameter of circular pipe according to water flow (using Manning average flow velocity)

작성자 Uploader : simplelife 작성일 Upload Date: 2023-05-31변경일 Update Date: 2023-05-31조회수 View : 94

The average flow velocity formula of Manning is applied to obtain the diameter D (m) of the circular pipe to pass the flow rate Q (m^3/s).

Q = A*V

Area of flow : A = (π/4)*D^2

Hydraulic radius : R = A/P = (π/4)*D^2 / (π*D) = D/4

Average flow velocity by Manning formula.

V = 1/n*R^(2/3)*S^(1/2)
= 1/n*(D/4)^(2/3)*S^(1/2)

Thus,

Q = (π/4)*D^2 * 1/n*(D/4)^(2/3)*S^(1/2)

D^2 * (D/4)^(2/3) = 4*n*Q/(π*S^(1/2))

D^(8/3) = 4^(5/3)*n*Q/(π*S^(1/2))

D = (4^(5/3)*n*Q/(π*S^(1/2)))^(3/8)

*** 참고문헌[References] ***

D = (4^(5/3)*n*Q/(π*S^(1/2)))^(3/8)

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현재 위치

diameter of circular pipe according to water flow (using Manning average flow velocity)

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