Dimensional analysis with Buckinham's Pi Theorem is applied to the relationship between frictional head loss. H,, and other variables in a horizontal pipe of circular cross-section, such as pressure drop , diameter D. the density of the fluid p, viscosity u and the mean velocity of the fluid v. The dimension balance for these variables is [H;) = 1[D]lpl°led[v]f. What are algebraic equations for the powers of the dimensions [M], [L], [T]? (e.g. [M]: 3=a+2*b; Write only the bold part in the available sections.) [M] : [L): [T] :

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
icon
Related questions
Question
Please try to solve in 1 hour
Dimensional analysis with Buckinham's Pi Theorem is applied to the relationship between frictional head loss, H,, and other variables in a horizontal pipe of circular cross-section, such as pressure drop , diameter D, the
density of the fluid p, viscosity u and the mean velocity of the fluid v. The dimension balance for these variables is [H;] = [1[D]lel°led[v]f.
What are algebraic equations for the powers of the dimensions [M], [L], [T]?
(e.g. [M]: 3=a+2*b; Write only the bold part in the available sections.)
[M] :
[L):
[T) :
Transcribed Image Text:Dimensional analysis with Buckinham's Pi Theorem is applied to the relationship between frictional head loss, H,, and other variables in a horizontal pipe of circular cross-section, such as pressure drop , diameter D, the density of the fluid p, viscosity u and the mean velocity of the fluid v. The dimension balance for these variables is [H;] = [1[D]lel°led[v]f. What are algebraic equations for the powers of the dimensions [M], [L], [T]? (e.g. [M]: 3=a+2*b; Write only the bold part in the available sections.) [M] : [L): [T) :
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Dimensional Analysis
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning