VX, was considered to be nonzero. flat Q1/Assume, involving laminar flow between parallel plates, only the velocity in the axial direction, In reality, a profile at the entrance will gradually be transformed into a final parabolic shape by the viscous action of the walls. As shown in Fig. shows three representative stages of the progression, in which a boundary layer builds up from a thickness of = 0 at the entrance to a final value of y d; the problem is to determine the necessary distance X = L. Note that in order to satisfy a mass balance, the "mainstream" velocity Vis not constant but continues to increase downstream along the path A-B-C. Find the following: a. Find the velocity profile to show vx = V(2½-- L cpvd b. Prove: where c is constant then find c? assume α= 8/d d μ y=d y=0 A x=0 x=L B C Fuig. 1Development of velocity profile between flat plates

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
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Question
VX,
was
considered
to
be
nonzero.
flat
Q1/Assume, involving laminar flow between parallel plates, only the velocity in the axial direction,
In reality, a
profile at the entrance will gradually be transformed into a final parabolic shape
by the viscous action of the walls. As shown in Fig. shows three representative stages of
the progression, in which a boundary layer builds up from a thickness of = 0 at
the entrance to a final value of y d; the problem is to determine the necessary
distance X = L. Note that in order to satisfy a mass balance, the "mainstream"
velocity Vis not constant but continues to increase downstream along the path
A-B-C. Find the following:
a. Find the velocity profile to show vx = V(2½--
L cpvd
b. Prove:
where c is constant then find c? assume α= 8/d
d
μ
y=d
y=0
A
x=0
x=L
B
C
Fuig. 1Development of velocity profile between flat plates
Transcribed Image Text:VX, was considered to be nonzero. flat Q1/Assume, involving laminar flow between parallel plates, only the velocity in the axial direction, In reality, a profile at the entrance will gradually be transformed into a final parabolic shape by the viscous action of the walls. As shown in Fig. shows three representative stages of the progression, in which a boundary layer builds up from a thickness of = 0 at the entrance to a final value of y d; the problem is to determine the necessary distance X = L. Note that in order to satisfy a mass balance, the "mainstream" velocity Vis not constant but continues to increase downstream along the path A-B-C. Find the following: a. Find the velocity profile to show vx = V(2½-- L cpvd b. Prove: where c is constant then find c? assume α= 8/d d μ y=d y=0 A x=0 x=L B C Fuig. 1Development of velocity profile between flat plates
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