University:
Santa Fe College
Course:
PHY 2004 | Applied Physics 1
Academic year:

2024
Views:

307

Pages:

5
Author:

Jabin F.

Classification of Flow Particle if Q, n, So are constant then "yn" and "yc" are 2 fixed depth of flow. NDL (Normal depth line) CDL (critical depth line) Mild slope dy/dx = (So - Sf) / (1 - Fr^2) yn = yc yn > yc yn < yc 4.) So = 0 So < 0 or So = negative 5.) head loss ∝ 1/y (i) Mild Slope (M) -> (yn > yc) Zone I, M1 II M2 NDL III M3 CDL S₀ < Sc (ii) Steep Slope (S) -> (yc > yn) Zone I, S1 Zone II, S2 CDL Zone III, S3 NDL S₀ > Sc (iii) Critical Slope (C) (yn = yc) Zone I C1 CDL Zone III C3 NDL C2 Not exist S₀ = Sc (IV) Horizontal Slope (H) (S₀ = 0) There is No NDL Zone II H2 CDL Zone III H3 H1 Not Exist. Q = A/n R^(2/3) S^(1/2) V = (2 * 0.5) / 0.01 * ( (2 * 0.5) / (2 + 2 * 0.5) )^(2/3) * (Sf)^(1/2) Sf = 6.9227 x 10^-3 Fr = V/sqrt(gy) = sqrt(Q^2 T / (g A^3)) = sqrt(1^2 * 2 / (10 * (2 * 0.5)^3)) Fr = 1.788 dy/dx = (S₀ - Sf) / (1 - Fr^2) = (-1 - 6.9227 x 10^-3) / (1 - (1.788)^2) dy/dx = 0.003196 ≈ 0.0032