Q1/ ( 10 Marks) The steady flow of an incompressible non-Newtonian Bingham plastic fluids between two parallel plates extending to infinity in x-and z-directions, as shown in Fig.1 will now be considered. The mid-plane between the plates will be taken as the origin with the flow domain extending from y=-b to y=+b., the pressure gradient causes the flow of Bingham fluid. Determine the following: a. Derive an expression for the resulting velocity profile vz as a function pressure gradient (AP/L), b, Ho, and sketch velocity profile as free hand. b. Derive an expression for the maximum velocity occur and for the volumetric flow rate (Q). Hint: Bingham model is given as:Tyz = =to duz to if Tyz > To duz = 0 if Tyz< To dy dy Fig.1 y= b Tyz B D P P+Ap A I
Q1/ ( 10 Marks) The steady flow of an incompressible non-Newtonian Bingham plastic fluids between two parallel plates extending to infinity in x-and z-directions, as shown in Fig.1 will now be considered. The mid-plane between the plates will be taken as the origin with the flow domain extending from y=-b to y=+b., the pressure gradient causes the flow of Bingham fluid. Determine the following: a. Derive an expression for the resulting velocity profile vz as a function pressure gradient (AP/L), b, Ho, and sketch velocity profile as free hand. b. Derive an expression for the maximum velocity occur and for the volumetric flow rate (Q). Hint: Bingham model is given as:Tyz = =to duz to if Tyz > To duz = 0 if Tyz< To dy dy Fig.1 y= b Tyz B D P P+Ap A I
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
![Q1/ ( 10 Marks) The steady flow of an incompressible non-Newtonian Bingham plastic fluids
between two parallel plates extending to infinity in x-and z-directions, as shown in Fig.1 will now
be considered. The mid-plane between the plates will be taken as the origin with the flow domain
extending from y=-b to y=+b., the pressure gradient causes the flow of Bingham fluid. Determine
the following:
a. Derive an expression for the resulting velocity profile vz as a function pressure gradient
(AP/L), b, Ho, and sketch velocity profile as free hand.
b. Derive an expression for the maximum velocity occur and for the volumetric flow rate (Q).
Hint: Bingham model is given as:Tyz = =to duz to if Tyz > To
duz = 0 if Tyz< To
dy
dy
Fig.1
y= b
Tyz
B
D
P
P+Ap
A
I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3712b301-46a6-4e72-9c9d-3ee93c8f8efc%2F629c4526-833b-488e-88b9-603e9f2ff424%2Fru21i0o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1/ ( 10 Marks) The steady flow of an incompressible non-Newtonian Bingham plastic fluids
between two parallel plates extending to infinity in x-and z-directions, as shown in Fig.1 will now
be considered. The mid-plane between the plates will be taken as the origin with the flow domain
extending from y=-b to y=+b., the pressure gradient causes the flow of Bingham fluid. Determine
the following:
a. Derive an expression for the resulting velocity profile vz as a function pressure gradient
(AP/L), b, Ho, and sketch velocity profile as free hand.
b. Derive an expression for the maximum velocity occur and for the volumetric flow rate (Q).
Hint: Bingham model is given as:Tyz = =to duz to if Tyz > To
duz = 0 if Tyz< To
dy
dy
Fig.1
y= b
Tyz
B
D
P
P+Ap
A
I
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Process Dynamics and Control, 4e](https://www.bartleby.com/isbn_cover_images/9781119285915/9781119285915_smallCoverImage.gif)
![Industrial Plastics: Theory and Applications](https://www.bartleby.com/isbn_cover_images/9781285061238/9781285061238_smallCoverImage.gif)
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
![Unit Operations of Chemical Engineering](https://www.bartleby.com/isbn_cover_images/9780072848236/9780072848236_smallCoverImage.gif)
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The