The height h to which a column of liquid will rise in a small-bore tube due to surface tension is a function of the density of the liquid ρ, the radius of the tube r, the acceleration due to gravity g, and the surface tension of the liquid σ (see Section 1.9.3). (a) Express this dependence in nondimensional terms. (b) If the capillary rise for liquid A is 25 mm in a tube of radius 0.5 mm, what will be the rise for a liquid B having the same surface tension but four times the density of liquid A in a tube of radius 0.25 mm a dynamically similar system? Also find rB.
The height h to which a column of liquid will rise in a small-bore tube due to surface tension is a function of the density of the liquid ρ, the radius of the tube r, the acceleration due to gravity g, and the surface tension of the liquid σ (see Section 1.9.3). (a) Express this dependence in nondimensional terms. (b) If the capillary rise for liquid A is 25 mm in a tube of radius 0.5 mm, what will be the rise for a liquid B having the same surface tension but four times the density of liquid A in a tube of radius 0.25 mm a dynamically similar system? Also find rB.
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
Related questions
Topic Video
Question
The height h to which a column of liquid will rise in a small-bore tube due to surface tension is a function of the density of the liquid ρ, the radius of the tube r, the acceleration due to gravity g, and the surface tension of the liquid σ (see Section 1.9.3).
(a) Express this dependence in nondimensional terms.
(b) If the capillary rise for liquid A is 25 mm in a tube of radius 0.5 mm, what will be the rise for a liquid B having the same surface tension but four times the density of liquid A in a tube of radius 0.25 mm a dynamically similar system? Also find rB.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 11 images
Knowledge Booster
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
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY