Dimensional analysis with Buckinham's Pi Theorem is applied to the relationship between frictional head loss, H7, and other variables in a horizontal pipe of circular cross-section, such as pressure drop 2 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 = 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) :

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question
Please try to solve in 30 minute
Dimensional analysis with Buckinham's Pi Theorem is applied to the relationship between frictional head loss, H7, 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;) =
de
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, H7, 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;) = de 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
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The