Criteria for Minimum Specific Energy | Lecture Note - Edubirdie

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

2024
Views:

168

Pages:

5
Author:

Jabin F.

Criteria for Minimum Specific Energy E = y + V^2 / 2g E = y + Q^2 / (2gA^2) dA = T dy Q^2 B / (g B^3 y^3) = 1 (B^2 y^2 V^2 B) / (g B^3 y^2) = 1 V^2 / (g y) = 1 V / sqrt(g y) = 1 = fr V / sqrt(g D) = 1 = fr T = B Q = A v Q = B y v D = y cond^n for Max. discharge -> E = y + Q^2 / (2 g A^2) E - y = Q^2 / (2 g A^2) Q = sqrt(2 g A^2 (E - y)) -> for a particular Specific eng. for Max. discharge ∂Q/∂y = 0 0 = ∂Q/∂y = sqrt(2g) (sqrt(E-y) (∂A/∂y) + A ∂(sqrt(E-y))/∂y) ∂A/∂y = T Q^2 T / (g A^3) = 1 By Froud No. Q = AV A^2 V^2 T / (g A^3) = V^2 T / (g A) = V^2 / (g D) = 1 fr = V / sqrt(gD) = 1

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