QI s) 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 dvz = 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
Question
QI
s) 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
dvz = 0 if Tyz< To
dy
dy
Fig.1
y= b
Tyz
B
D
P
P+Ap
A
I
Transcribed Image Text:QI s) 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 dvz = 0 if Tyz< To dy dy Fig.1 y= b Tyz B D P P+Ap A I
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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