Viscous fluid flows down a pipe of circular cross-section r=a under a constant pressure gradient P = - ôp/ôz. %3D a) Show that P (a² – r² ). Ur = ue = 0 4µ b) Calculate the volumetric flow rate for this (Poiseuille) flow. c) Calculate the vorticity and wall shear stress for this flow.
Viscous fluid flows down a pipe of circular cross-section r=a under a constant pressure gradient P = - ôp/ôz. %3D a) Show that P (a² – r² ). Ur = ue = 0 4µ b) Calculate the volumetric flow rate for this (Poiseuille) flow. c) Calculate the vorticity and wall shear stress for this flow.
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
Related questions
Question
100%
Transcribed Image Text:Viscous fluid flows down a pipe of circular cross-section r=a under a constant pressure
gradient P = - ôp/ôz.
%3D
a) Show that
P
(a² – r² ).
Ur = ue = 0
4µ
b) Calculate the volumetric flow rate for this (Poiseuille) flow.
c) Calculate the vorticity and wall shear stress for this flow.
Expert Solution
Step 1
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
Recommended textbooks for you
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The