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Task 2 Evaluate the use of dimensionless analysis using the Buckingham Pi Theorem for a given fluid flow system in Figure 1, where resistance to motion 'R' for a sphere of diameter 'D' moving at a constant velocity on the surface of a liquid is due to the density 'p' and the surface waves produced by the acceleration of gravity 'g'. The dimensionless quantity linking these quantities is Ne= Function (Fr). To complete this task, it is required to apply dimensional analysis to the same fluid flow system given in Figure 1. R D Figure 1 Review the significance of the Reynolds number on fluid flow system given in figure 2.1 and 2.2. To complete this, it is required to examine the characteristics (e.g. volume flow rate, head loss and force exerted) on the fluid in industrial piping systems given in Figure 2.1 and figure 2.2. The figure 2.1 shows a tank draining into another lower tank through a pipe. The each pipe is 2.5m long and has a friction coefficient C, = last digit of student ID. The inlet loss coefficient is K = 0.3. 1000 (Hint: In case the last digit of student ID become zero move to the next digit) (1) (2) "2 P2 Figure 2.2 (1) 4m (2) B 70mm bore diameter 35mm bore diameter Figure 2.1 In the figure 2.2 a pipe carrying water experiences a sudden reduction in area as shown. The diameter of pipe at point (1) is 35mm and at point (2) is 17.5mm. The pressure at point (2) is 400kPa and the velocity is 9.8m/s. The loss coefficient K is 0.8. The density of water is 1000 kg/m³. At the end, discuss the operational aspects of Pelton wheel, Kaplan turbine and Reciprocating pump.

Task 2 Evaluate the use of dimensionless analysis using the Buckingham Pi Theorem for a given fluid flow system in Figure 1, where resistance to motion 'R' for a sphere of diameter 'D' moving at a constant velocity on the surface of a liquid is due to the density 'p' and the surface waves produced by the acceleration of gravity 'g'. The dimensionless quantity linking these quantities is Ne= Function (Fr). To complete this task, it is required to apply dimensional analysis to the same fluid flow system given in Figure 1. R D Figure 1 Review the significance of the Reynolds number on fluid flow system given in figure 2.1 and 2.2. To complete this, it is required to examine the characteristics (e.g. volume flow rate, head loss and force exerted) on the fluid in industrial piping systems given in Figure 2.1 and figure 2.2. The figure 2.1 shows a tank draining into another lower tank through a pipe. The each pipe is 2.5m long and has a friction coefficient C, = last digit of student ID. The inlet loss coefficient is K = 0.3. 1000 (Hint: In case the last digit of student ID become zero move to the next digit) (1) (2) "2 P2 Figure 2.2 (1) 4m (2) B 70mm bore diameter 35mm bore diameter Figure 2.1 In the figure 2.2 a pipe carrying water experiences a sudden reduction in area as shown. The diameter of pipe at point (1) is 35mm and at point (2) is 17.5mm. The pressure at point (2) is 400kPa and the velocity is 9.8m/s. The loss coefficient K is 0.8. The density of water is 1000 kg/m³. At the end, discuss the operational aspects of Pelton wheel, Kaplan turbine and Reciprocating pump.

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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Task 2 Evaluate the use of dimensionless analysis using the Buckingham Pi Theorem for a given fluid flow system in Figure 1, where resistance to motion 'R' for a sphere of diameter 'D' moving at a constant velocity on the surface of a liquid is due to the density 'p' and the surface waves produced by the acceleration of gravity 'g'. The dimensionless quantity linking these quantities is Ne= Function (Fr). To complete this task, it is required to apply dimensional analysis to the same fluid flow system given in Figure 1. R D Figure 1 Review the significance of the Reynolds number on fluid flow system given in figure 2.1 and 2.2. To complete this, it is required to examine the characteristics (e.g. volume flow rate, head loss and force exerted) on the fluid in industrial piping systems given in Figure 2.1 and figure 2.2. The figure 2.1 shows a tank draining into another lower tank through a pipe. The each pipe is 2.5m long and has a friction coefficient C, = last digit of student ID. The inlet loss coefficient is K = 0.3. 1000 (Hint: In case the last digit of student ID become zero move to the next digit) (1) (2) "2 P2 Figure 2.2 (1) 4m (2) B 70mm bore diameter 35mm bore diameter Figure 2.1 In the figure 2.2 a pipe carrying water experiences a sudden reduction in area as shown. The diameter of pipe at point (1) is 35mm and at point (2) is 17.5mm. The pressure at point (2) is 400kPa and the velocity is 9.8m/s. The loss coefficient K is 0.8. The density of water is 1000 kg/m³. At the end, discuss the operational aspects of Pelton wheel, Kaplan turbine and Reciprocating pump.
Transcribed Image Text:Task 2 Evaluate the use of dimensionless analysis using the Buckingham Pi Theorem for a given fluid flow system in Figure 1, where resistance to motion 'R' for a sphere of diameter 'D' moving at a constant velocity on the surface of a liquid is due to the density 'p' and the surface waves produced by the acceleration of gravity 'g'. The dimensionless quantity linking these quantities is Ne= Function (Fr). To complete this task, it is required to apply dimensional analysis to the same fluid flow system given in Figure 1. R D Figure 1 Review the significance of the Reynolds number on fluid flow system given in figure 2.1 and 2.2. To complete this, it is required to examine the characteristics (e.g. volume flow rate, head loss and force exerted) on the fluid in industrial piping systems given in Figure 2.1 and figure 2.2. The figure 2.1 shows a tank draining into another lower tank through a pipe. The each pipe is 2.5m long and has a friction coefficient C, = last digit of student ID. The inlet loss coefficient is K = 0.3. 1000 (Hint: In case the last digit of student ID become zero move to the next digit) (1) (2) "2 P2 Figure 2.2 (1) 4m (2) B 70mm bore diameter 35mm bore diameter Figure 2.1 In the figure 2.2 a pipe carrying water experiences a sudden reduction in area as shown. The diameter of pipe at point (1) is 35mm and at point (2) is 17.5mm. The pressure at point (2) is 400kPa and the velocity is 9.8m/s. The loss coefficient K is 0.8. The density of water is 1000 kg/m³. At the end, discuss the operational aspects of Pelton wheel, Kaplan turbine and Reciprocating pump.
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