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QUESTION 1 A jet of freshwater strikes a series of vanes of a turbine at 25° with the direction of motion and leaves it at 150° absolute with the direction of motion. The absolute inlet velocity of the jet is 25 m/s and the vanes move at a velocity of 10 m/s. Ignore friction across the vanes. Calculate: 1.1 the vane inlet angle. 1.2 the vane outlet angle. 1.3 the power/kg of water and, 1.4 the hydraulic efficiency.

QUESTION 1 A jet of freshwater strikes a series of vanes of a turbine at 25° with the direction of motion and leaves it at 150° absolute with the direction of motion. The absolute inlet velocity of the jet is 25 m/s and the vanes move at a velocity of 10 m/s. Ignore friction across the vanes. Calculate: 1.1 the vane inlet angle. 1.2 the vane outlet angle. 1.3 the power/kg of water and, 1.4 the hydraulic efficiency.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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QUESTION 1 A jet of freshwater strikes a series of vanes of a turbine at 25° with the direction of motion and leaves it at 150° absolute with the direction of motion. The absolute inlet velocity of the jet is 25 m/s and the vanes move at a velocity of 10 m/s. Ignore friction across the vanes. Calculate: 1.1 the vane inlet angle. 1.2 the vane outlet angle. 1.3 the power/kg of water and, 1.4 the hydraulic efficiency. QUESTION 2 A pipeline of 50 mm diameter and 4.5 km length connects two reservoirs whose constant difference of water level is 12 m. A branch pipe 1.25 km long and taken from a point distance of 1.5 km from reservoir A, leads to reservoir C whose water level is 15 m below that of reservoir A. Find the diameter of the branch pipe so that the flow into both the reservoirs is the same. Assume the coefficient of friction for each pipe, f = 0.0075, and neglect minor losses. QUESTION 3 The plunger diameter of a single-acting reciprocating pump is 115 mm and the stroke is 230 mm. The suction pipe is 90 mm in diameter and 4.2 m long. If cavitation takes place at the suction head of 4 m, the barometer stands at 10.3 m of water, and the water level in the sump is 3 m below the pump cylinder axis. 3.1 Find the maximum allowable speed to operate the pump 3.2 What power is expected in overcoming friction at this speed, take f = 0 QUESTION 4 Water is discharged from the impeller of a centrifugal pump against a pressure of 10.5 m and a tangential velocity component of 14 m/s. The impeller has a diameter of 60 cm. Calculate the required diameter of the vortex chamber to increase the delivery pressure to 15 m. [10]
Transcribed Image Text:QUESTION 1 A jet of freshwater strikes a series of vanes of a turbine at 25° with the direction of motion and leaves it at 150° absolute with the direction of motion. The absolute inlet velocity of the jet is 25 m/s and the vanes move at a velocity of 10 m/s. Ignore friction across the vanes. Calculate: 1.1 the vane inlet angle. 1.2 the vane outlet angle. 1.3 the power/kg of water and, 1.4 the hydraulic efficiency. QUESTION 2 A pipeline of 50 mm diameter and 4.5 km length connects two reservoirs whose constant difference of water level is 12 m. A branch pipe 1.25 km long and taken from a point distance of 1.5 km from reservoir A, leads to reservoir C whose water level is 15 m below that of reservoir A. Find the diameter of the branch pipe so that the flow into both the reservoirs is the same. Assume the coefficient of friction for each pipe, f = 0.0075, and neglect minor losses. QUESTION 3 The plunger diameter of a single-acting reciprocating pump is 115 mm and the stroke is 230 mm. The suction pipe is 90 mm in diameter and 4.2 m long. If cavitation takes place at the suction head of 4 m, the barometer stands at 10.3 m of water, and the water level in the sump is 3 m below the pump cylinder axis. 3.1 Find the maximum allowable speed to operate the pump 3.2 What power is expected in overcoming friction at this speed, take f = 0 QUESTION 4 Water is discharged from the impeller of a centrifugal pump against a pressure of 10.5 m and a tangential velocity component of 14 m/s. The impeller has a diameter of 60 cm. Calculate the required diameter of the vortex chamber to increase the delivery pressure to 15 m. [10]
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