Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
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
Problem 1.1MA
See similar textbooks
icon
Related questions
Question

I2

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).
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Stress Transformation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS