Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
(a) (b) Apply the energy balance between the free surface of the tank liquid and the discharge and show that the discharge velocity is Ит pgr² (h+L) 8μL Use the mass balance to show that the height of the liquid h is governed by dh pgr¹ (h+L) dt 8R²μL Integrate the above equation and show that the time taken to drain the tank (c) completely is: 8μLR² t= In 1+ pgr4 (1+77) H h R H 2r L ?

(a) (b) Apply the energy balance between the free surface of the tank liquid and the discharge and show that the discharge velocity is Ит pgr² (h+L) 8μL Use the mass balance to show that the height of the liquid h is governed by dh pgr¹ (h+L) dt 8R²μL Integrate the above equation and show that the time taken to drain the tank (c) completely is: 8μLR² t= In 1+ pgr4 (1+77) H h R H 2r L ?

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

The tank and pipe shown in the following figure are initially filled with a liquid of
viscosity μ and density ρ. You can assume laminar flow and ignore exit kinetic-energy
effects. Friction is important in the tube descending from the bottom of the tank, but you can
assume negligible friction in the large tank.
(a)  Apply the energy balance between the free surface of the tank liquid and the
discharge and show that the discharge velocity is the equation seen in the image
(b)  Use the mass balance to show that the height of the liquid h is governed by the equation in the image
(c)  Integrate the equation shown in the image and show that the time taken to drain the tank
completely is: 

(a) (b) Apply the energy balance between the free surface of the tank liquid and the discharge and show that the discharge velocity is Ит pgr² (h+L) 8μL Use the mass balance to show that the height of the liquid h is governed by dh pgr¹ (h+L) dt 8R²μL Integrate the above equation and show that the time taken to drain the tank (c) completely is: 8μLR² t= In 1+ pgr4 (1+77) H h R H 2r L ?
Transcribed Image Text:(a) (b) Apply the energy balance between the free surface of the tank liquid and the discharge and show that the discharge velocity is Ит pgr² (h+L) 8μL Use the mass balance to show that the height of the liquid h is governed by dh pgr¹ (h+L) dt 8R²μL Integrate the above equation and show that the time taken to drain the tank (c) completely is: 8μLR² t= In 1+ pgr4 (1+77) H h R H 2r L ?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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