A incompressible fluid of density p is in laminar flow in a plane narrow slit of length L and width W that formed by two flat parallel walls with a distance 2B apart as shown in Figure 1. End effects may be neglected because B << W << L. The fluid flows under the influence of both a pressure difference Ap and gravity.

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 2
A incompressible fluid of density p is in laminar flow in
a plane narrow slit of length L and width W that formed
by two flat parallel walls with a distance 2B apart as
shown in Figure 1. End effects may be neglected
because B << W << L. The fluid flows under the
influence of both a pressure difference Ap and gravity.
Question 2
Fluid In
ztx)
Fluid Out
2B
Figure 1: Fluid flow in plane narrow slit.
Transcribed Image Text:Question 2 A incompressible fluid of density p is in laminar flow in a plane narrow slit of length L and width W that formed by two flat parallel walls with a distance 2B apart as shown in Figure 1. End effects may be neglected because B << W << L. The fluid flows under the influence of both a pressure difference Ap and gravity. Question 2 Fluid In ztx) Fluid Out 2B Figure 1: Fluid flow in plane narrow slit.
Questions;
(a) List your postulate and assumption.
(b) Establish the following expression (Equation 1) for the
steady-state shear stress distribution and the velocity profile for
a Newtonian fluid (of constant viscosity µ) using shell balance
and equation of motion in Appendix 1 (Table B5 and B6).
Po - PL
0.
V_ =
(B² – x³ )
2 µL
Equation 1
Transcribed Image Text:Questions; (a) List your postulate and assumption. (b) Establish the following expression (Equation 1) for the steady-state shear stress distribution and the velocity profile for a Newtonian fluid (of constant viscosity µ) using shell balance and equation of motion in Appendix 1 (Table B5 and B6). Po - PL 0. V_ = (B² – x³ ) 2 µL Equation 1
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