To determine The horsepower delivered to the turbine and plot the energy and hydraulic grade lines for the pipe using a datum at point C. Explanation Given: The diameter of the pipe ( d ) is 2 ft . The discharge ( Q ) is 20 ft 3 / s . Calculation: Calculate the area of the pipe ( A C ) . A C = π d 2 4 A = π 4 × ( 2 ft ) 2 = 3.1415 ft 2 Calculate the velocity of water ( V C ) . Q = V C A C 20 ft 3 / s = V C × 3.1415 ft 2 V C = 6.366 ft / s Consider the water in from A to C to be the control volume. Point A and C are opened to atmosphere. So the pressure at point B and C are zero. p A = p C = 0 Water is drawn from large reservoir so the velocity at point V A = 0 . The datum is passed through the point C, so the datum levels are, z A = 6 ft+15 ft = 21 ft z c = 0 h L = 0 Calculate the pump head ( h pump ) using the Energy equation. p A γ + V A 2 2 g + z A + h pump = p C γ + V C 2 2 g + z C + h turb + h L 0 + 0 + 21 ft + 0 = 0 + ( 6.366 ft / s ) 2 2 ( 32.2 ft / s 2 ) + h tur b + o h turb = 21 − 0.629 h turb = 20.37 ft Calculate the power delivered to the turbine ( W s ) . W s = Q γ h turb W s = 20 × 62.468 × 20.37 = 25 , 449.5 ft ⋅ lb s × 1 hp 550 ft ⋅ lb s = 46

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Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

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Chapter 5, Problem 91P

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The horsepower delivered to the turbine and plot the energy and hydraulic grade lines for the pipe using a datum at point C.

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Chapter 5, Problem 90P

Chapter 5, Problem 92P

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