(d) Determine the maximum velocity and its location. (e) Obtain equations for the volumetric flow rate and average velocity. What is the relationship between the average and maximum velocity?

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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(d) Determine the maximum velocity and its location.
(e) Obtain equations for the volumetric flow rate and average velocity.
What is the relationship between the average and maximum velocity?
Transcribed Image Text:(d) Determine the maximum velocity and its location. (e) Obtain equations for the volumetric flow rate and average velocity. What is the relationship between the average and maximum velocity?
Expert Solution
Step 1

The given diagram for the flow of fluid in a slit is:

Chemical Engineering homework question answer, step 1, image 1

Given conditions of the flow:

  1. The flow is steady-state and laminar
  2. The fluid is incompressible and Newtonian.
  3. B<<W and B<<L. Thus, edge and end effects are not considered.
  4. The flow is fully developed.
  5. Velocity varies only in x-direction.
  6. The entrance pressure is P0 and the exit pressure is PL.
  7. x = 0 is located in the middle of the two vertical surfaces.
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