2. Adjacent Flow of Two Immiscible Power Law Fluids Two immiscible fluids are contained in the space between two infinite parallel plates. The upper plate, at y = h, is in motion with a velocity U. Initially there is no pressure gradient in the x-direction. We have already solved for the velocity profile between the two plates for a number of different conditions, now we are going to make fluid II non-Newtonian. U Fluid II Interface Between Two Immiscible Fluids ah Fluid I d) Go back to your old assignment (b), but now let's let Fluid II be non-Newtonian. Specifically, model the fluid as a power law fluid with n =ky". Solve for the velocity profile across the channel and sketch the result for a shear thinning and shear thickening fluid as the velocity on the top plate is systematically increased. e) Now remove the velocity of the top plate and instead apply a pressure gradient. What is the velocity profile look like now?

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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2. Adjacent Flow of Two Immiscible Power Law Fluids
Two immiscible fluids are contained in the space between two infinite parallel plates.
The upper plate, at y = h, is in motion with a velocity U. Initially there is no pressure gradient in
the x-direction. We have already solved for the velocity profile between the two plates for a
number of different conditions, now we are going to make fluid II non-Newtonian.
U
Fluid II
Interface Between
Two Immiscible Fluids
ah
Fluid I
d) Go back to your old assignment (b), but now let's let Fluid II be non-Newtonian.
Specifically, model the fluid as a power law fluid with n =ky". Solve for the velocity profile
across the channel and sketch the result for a shear thinning and shear thickening fluid as the
velocity on the top plate is systematically increased.
e) Now remove the velocity of the top plate and instead apply a pressure gradient. What is
the velocity profile look like now?
Transcribed Image Text:2. Adjacent Flow of Two Immiscible Power Law Fluids Two immiscible fluids are contained in the space between two infinite parallel plates. The upper plate, at y = h, is in motion with a velocity U. Initially there is no pressure gradient in the x-direction. We have already solved for the velocity profile between the two plates for a number of different conditions, now we are going to make fluid II non-Newtonian. U Fluid II Interface Between Two Immiscible Fluids ah Fluid I d) Go back to your old assignment (b), but now let's let Fluid II be non-Newtonian. Specifically, model the fluid as a power law fluid with n =ky". Solve for the velocity profile across the channel and sketch the result for a shear thinning and shear thickening fluid as the velocity on the top plate is systematically increased. e) Now remove the velocity of the top plate and instead apply a pressure gradient. What is the velocity profile look like now?
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