)Consider 2-D incompressible steady Couette flow between parallel plates due to pressure gradient. Assume that the plates are very wide and very long and the distance between the plate as (h). Let the fluid be Non-Newtonian with stress given by: 유 h2 -(1- JY 2M Tu = a ()() --) =a = a Txz=Tex = sa ax dz дх : Umak deh 2 (+) dy [xy = (dezy) Where a & c are constants of the fluid. Make all assumption and use Navier Stoke's Eqn., and continuity Eqn. to find the velocity profile equation with sketch the shapeof velocity profile and the maximum velocity. And how does the velocity profile for this case compare to that of a Newtonian fluid. Also compute the following parameters for the laminar Non-Newtonian flow: a. the wall shear stress. b. The stream function. c. The vorticity. d. The velocity potential and e. The average velocity. And find the volume flow between two plates. Hint: Navier Stoke's Eqns.and Continuity Eqn. (non-Newtonian fluid) Continuity Eq.

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
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)Consider 2-D incompressible steady Couette flow between parallel plates due to
pressure gradient. Assume that the plates are very wide and very long and the distance between the
plate as (h). Let the fluid be Non-Newtonian with stress given by:
유
h2
-(1-
JY 2M
Tu = a
()() --)
=a
= a
Txz=Tex
= sa
ax
dz
дх
: Umak
deh
2
(+)
dy
[xy = (dezy)
Where a & c are constants of the fluid. Make all assumption and use Navier Stoke's Eqn., and
continuity Eqn. to find the velocity profile equation with sketch the shapeof velocity profile and the
maximum velocity. And how does the velocity profile for this case compare to that of a Newtonian
fluid. Also compute the following parameters for the laminar Non-Newtonian flow:
a. the wall shear stress.
b. The stream function.
c. The vorticity.
d. The velocity potential and
e. The average velocity. And find the volume flow between two plates.
Hint: Navier Stoke's Eqns.and Continuity Eqn. (non-Newtonian fluid)
Continuity Eq.
Transcribed Image Text:)Consider 2-D incompressible steady Couette flow between parallel plates due to pressure gradient. Assume that the plates are very wide and very long and the distance between the plate as (h). Let the fluid be Non-Newtonian with stress given by: 유 h2 -(1- JY 2M Tu = a ()() --) =a = a Txz=Tex = sa ax dz дх : Umak deh 2 (+) dy [xy = (dezy) Where a & c are constants of the fluid. Make all assumption and use Navier Stoke's Eqn., and continuity Eqn. to find the velocity profile equation with sketch the shapeof velocity profile and the maximum velocity. And how does the velocity profile for this case compare to that of a Newtonian fluid. Also compute the following parameters for the laminar Non-Newtonian flow: a. the wall shear stress. b. The stream function. c. The vorticity. d. The velocity potential and e. The average velocity. And find the volume flow between two plates. Hint: Navier Stoke's Eqns.and Continuity Eqn. (non-Newtonian fluid) Continuity Eq.
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