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A large vat contains water, which contains a drainage pipe at a height h₁, as shown in figure Q3. The drainage pipe has a length L = 0.4 m, and a radius R = 15 mm, and releases water to the atmosphere at a flow rate Q. The connection between the pipe and the vat wall has a loss coefficient of KL = 0.8. Point A is in the middle of the tank at a height h₁. You can assume that the flow in the drainage pipe is fully developed and laminar. The density of water is p = 1000 kg/m³ and the viscosity is μ = 1 mPa.s. The acceleration due to gravity is 9.81 m/s². a) Find an expression for the pressure at point A. b) Find an expression in terms of Q, L, d, K₁, p and μ for the pressure losses along the pipe (including the losses at the inlet and exit). c) If the flowrate out of the drainage tank is Q = 50 L/min, find ho. You may assume any change of ho with time is negligible.

A large vat contains water, which contains a drainage pipe at a height h₁, as shown in figure Q3. The drainage pipe has a length L = 0.4 m, and a radius R = 15 mm, and releases water to the atmosphere at a flow rate Q. The connection between the pipe and the vat wall has a loss coefficient of KL = 0.8. Point A is in the middle of the tank at a height h₁. You can assume that the flow in the drainage pipe is fully developed and laminar. The density of water is p = 1000 kg/m³ and the viscosity is μ = 1 mPa.s. The acceleration due to gravity is 9.81 m/s². a) Find an expression for the pressure at point A. b) Find an expression in terms of Q, L, d, K₁, p and μ for the pressure losses along the pipe (including the losses at the inlet and exit). c) If the flowrate out of the drainage tank is Q = 50 L/min, find ho. You may assume any change of ho with time is negligible.

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
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Question 3 A large vat contains water, which contains a drainage pipe at a height h₁, as shown in figure Q3. The drainage pipe has a length L = 0.4 m, and a radius R = 15 mm, and releases water to the atmosphere at a flow rate Q. The connection between the pipe and the vat wall has a loss coefficient of KL = 0.8. Point A is in the middle of the tank at a height h₁. You can assume that the flow in the drainage pipe is fully developed and laminar. The density of water is p = 1000 kg/m³ and the viscosity is μ = 1 mPa.s. The acceleration due to gravity is 9.81 m/s². a) Find an expression for the pressure at point A. b) Find an expression in terms of Q, L, d, KL, p and for the pressure losses along the pipe (including the losses at the inlet and exit). c) If the flowrate out of the drainage tank is Q = 50 L/min, find ho. You may assume any change of ho with time is negligible. ho TT Figure Q3: Tank with drainage pipe (Question 3).
Transcribed Image Text:Question 3 A large vat contains water, which contains a drainage pipe at a height h₁, as shown in figure Q3. The drainage pipe has a length L = 0.4 m, and a radius R = 15 mm, and releases water to the atmosphere at a flow rate Q. The connection between the pipe and the vat wall has a loss coefficient of KL = 0.8. Point A is in the middle of the tank at a height h₁. You can assume that the flow in the drainage pipe is fully developed and laminar. The density of water is p = 1000 kg/m³ and the viscosity is μ = 1 mPa.s. The acceleration due to gravity is 9.81 m/s². a) Find an expression for the pressure at point A. b) Find an expression in terms of Q, L, d, KL, p and for the pressure losses along the pipe (including the losses at the inlet and exit). c) If the flowrate out of the drainage tank is Q = 50 L/min, find ho. You may assume any change of ho with time is negligible. ho TT Figure Q3: Tank with drainage pipe (Question 3).
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