VX, was to be nonzero. In Q1/Assume, involving laminar flow between parallel plates, only the velocity in the axial direction, considered reality, a flat 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 5 = 0 at 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 V is not constant but continues to increase downstream along the path A-B-C. Find the following: the = a. Find the velocity profile to show vx = V (2- L cpvd b. Prove: = d μ - where c is constant then find c? assume α= 8/d y=d A x=0 y=0 x = L 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
to
be
nonzero.
In
Q1/Assume, involving laminar flow between parallel plates, only the velocity in the axial direction,
considered
reality, a
flat
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 5 = 0 at
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 V is not constant but continues to increase downstream along the path
A-B-C. Find the following:
the
=
a. Find the velocity profile to show vx = V (2-
L cpvd
b. Prove: =
d
μ
-
where c is constant then find c? assume α= 8/d
y=d
A
x=0
y=0
x = L
C
Fuig. 1Development of velocity profile between flat plates
Transcribed Image Text:VX, was to be nonzero. In Q1/Assume, involving laminar flow between parallel plates, only the velocity in the axial direction, considered reality, a flat 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 5 = 0 at 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 V is not constant but continues to increase downstream along the path A-B-C. Find the following: the = a. Find the velocity profile to show vx = V (2- L cpvd b. Prove: = d μ - where c is constant then find c? assume α= 8/d y=d A x=0 y=0 x = L C Fuig. 1Development of velocity profile between flat plates
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