Explanation Given Information: The flow depth before the bump is 1.8 m , the breadth of the bump is 20 cm , the Froude number at critical condition is 1 and the flow velocity before the bump is 1.25 m / s . Write the expression for the Froude number before jump. F r 1 = V 1 g y 1 ...... (I) Here, the velocity before the jump is V 1 , the flow depth before the bump is y 1 and the acceleration due to gravity is g . Write the expression for the critical depth. y c = [ ( y 1 b V 1 ) g b 2 ] 1 / 3 ...... (II) Here, the breath of the bump is b . Write the expression for the specific energy of water before the jump. E c 1 = y 1 + V 1 2 2 g ....... (III) Write the expression for the critical specific energy. E c = 3 2 y c ...... (IV) Write the expression for the bump height at critical condition. Δ z b = E c 1 − E c 2 ..... (V) Here, the specific energy after the bump is E c 2 . Calculation: Substitute 9.81 m / s 2 for g , 1.25 m / s for V 1 and 1.8 m for y 1 in Equation (I). F r 1 = 1.25 m / s ( 9.81 m / s 2 ) ( 1.8 m ) = 1.25 m / s ( ( 9.81 m / s 2 ) ( 1.8 m ) ) = 1.25 4.20 ≈ 0.2976 Substitute 20 cm for b 9.81 m / s 2 for g , 1.25 m / s for V 1 and 1.8 m for y 1 in Equation (II). y c = [ ( ( 1.8 m ) ( 20 cm ) ( 1.25 m / s ) ) ( 9.81 m / s 2 ) ( 20 cm ) 2 ] 1 / 3 = [ ( ( 1

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Chapter 13, Problem 147P

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The bump height at critical condition.

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Chapter 13, Problem 146P

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Chapter 13 Solutions

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