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
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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
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
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