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Exercise 1 - mass balance Air with a density of 2.21 kg/m3 and a speed of 20 m/s is fed into a nozzle, the inlet area of the nozzle is 60 cm2 and the outlet speed is 150 m/s. a) What is the mass flow rate through the nozzle? b) What is the outlet area of the nozzle? Exercise 2 - Bernoulli The water flows through a pipe with a diameter of 100 mm, the volume flow through this pipe is 0.025 m3/s, as illustrated in Figure 1. The friction loss is neglected. The pressure at point A is 225 kPa. -2 m C D 100 mm 100 mm A B 30° -Datum 4 m Figure 1, for task 2. -2 m- a) Find pressure at point C b) Draw EGL and HGL from A to D. Exercise 3 - energy equation The turbine illustrated in Figure 2 is used in a small hydropower plant. If the pipe upstream of the turbine has a diameter of 0.3 m and the flow rate is 1.7 m3/s. The friction loss is 4 m. Reservoir surface A is 60 m higher than the pipe outlet at point B. 60 m Datum -Penstock Generator Turbine 0.3 m B Figure 2, for task 3 a) Find the velocity in the pipe downstream of the turbine? b) What is the turbine lift height? c) Determine the amount of power that is transferred from the water to the turbine blades d) How much energy was lost due to friction? e) Draw EGL and HGL from point A to point B. Comment on the result.

Exercise 1 - mass balance Air with a density of 2.21 kg/m3 and a speed of 20 m/s is fed into a nozzle, the inlet area of the nozzle is 60 cm2 and the outlet speed is 150 m/s. a) What is the mass flow rate through the nozzle? b) What is the outlet area of the nozzle? Exercise 2 - Bernoulli The water flows through a pipe with a diameter of 100 mm, the volume flow through this pipe is 0.025 m3/s, as illustrated in Figure 1. The friction loss is neglected. The pressure at point A is 225 kPa. -2 m C D 100 mm 100 mm A B 30° -Datum 4 m Figure 1, for task 2. -2 m- a) Find pressure at point C b) Draw EGL and HGL from A to D. Exercise 3 - energy equation The turbine illustrated in Figure 2 is used in a small hydropower plant. If the pipe upstream of the turbine has a diameter of 0.3 m and the flow rate is 1.7 m3/s. The friction loss is 4 m. Reservoir surface A is 60 m higher than the pipe outlet at point B. 60 m Datum -Penstock Generator Turbine 0.3 m B Figure 2, for task 3 a) Find the velocity in the pipe downstream of the turbine? b) What is the turbine lift height? c) Determine the amount of power that is transferred from the water to the turbine blades d) How much energy was lost due to friction? e) Draw EGL and HGL from point A to point B. Comment on the result.

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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Exercise 1 - mass balance Air with a density of 2.21 kg/m3 and a speed of 20 m/s is fed into a nozzle, the inlet area of the nozzle is 60 cm2 and the outlet speed is 150 m/s. a) What is the mass flow rate through the nozzle? b) What is the outlet area of the nozzle? Exercise 2 - Bernoulli The water flows through a pipe with a diameter of 100 mm, the volume flow through this pipe is 0.025 m3/s, as illustrated in Figure 1. The friction loss is neglected. The pressure at point A is 225 kPa. -2 m C D 100 mm 100 mm A B 30° -Datum 4 m Figure 1, for task 2. -2 m- a) Find pressure at point C b) Draw EGL and HGL from A to D.
Transcribed Image Text:Exercise 1 - mass balance Air with a density of 2.21 kg/m3 and a speed of 20 m/s is fed into a nozzle, the inlet area of the nozzle is 60 cm2 and the outlet speed is 150 m/s. a) What is the mass flow rate through the nozzle? b) What is the outlet area of the nozzle? Exercise 2 - Bernoulli The water flows through a pipe with a diameter of 100 mm, the volume flow through this pipe is 0.025 m3/s, as illustrated in Figure 1. The friction loss is neglected. The pressure at point A is 225 kPa. -2 m C D 100 mm 100 mm A B 30° -Datum 4 m Figure 1, for task 2. -2 m- a) Find pressure at point C b) Draw EGL and HGL from A to D.
Exercise 3 - energy equation The turbine illustrated in Figure 2 is used in a small hydropower plant. If the pipe upstream of the turbine has a diameter of 0.3 m and the flow rate is 1.7 m3/s. The friction loss is 4 m. Reservoir surface A is 60 m higher than the pipe outlet at point B. 60 m Datum -Penstock Generator Turbine 0.3 m B Figure 2, for task 3 a) Find the velocity in the pipe downstream of the turbine? b) What is the turbine lift height? c) Determine the amount of power that is transferred from the water to the turbine blades d) How much energy was lost due to friction? e) Draw EGL and HGL from point A to point B. Comment on the result.
Transcribed Image Text:Exercise 3 - energy equation The turbine illustrated in Figure 2 is used in a small hydropower plant. If the pipe upstream of the turbine has a diameter of 0.3 m and the flow rate is 1.7 m3/s. The friction loss is 4 m. Reservoir surface A is 60 m higher than the pipe outlet at point B. 60 m Datum -Penstock Generator Turbine 0.3 m B Figure 2, for task 3 a) Find the velocity in the pipe downstream of the turbine? b) What is the turbine lift height? c) Determine the amount of power that is transferred from the water to the turbine blades d) How much energy was lost due to friction? e) Draw EGL and HGL from point A to point B. Comment on the result.
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