4. Using the expression for the velocity profile through two parallel plates distanced by 2d др apart along y direction, and have width of w and length of L. μ is viscosity and -. is a дх constant pressure gradient drive the flow. Velocity is parallel to the plate along the longitudinal direction. др Vx= (d² - - y²) 2μ მე: 1) draw the profile as a curve in dependent of y, for -d≤ y ≤d. 2) Write and draw the vector form of the velocity. 3) find the shear rate at y = d by taking negative gradient of the velocity profile. 4) find the flow rate by taking integration of velocity profile across the surface area of the flow.
4. Using the expression for the velocity profile through two parallel plates distanced by 2d др apart along y direction, and have width of w and length of L. μ is viscosity and -. is a дх constant pressure gradient drive the flow. Velocity is parallel to the plate along the longitudinal direction. др Vx= (d² - - y²) 2μ მე: 1) draw the profile as a curve in dependent of y, for -d≤ y ≤d. 2) Write and draw the vector form of the velocity. 3) find the shear rate at y = d by taking negative gradient of the velocity profile. 4) find the flow rate by taking integration of velocity profile across the surface area of the flow.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Transcribed Image Text:4. Using the expression for the velocity profile through two parallel plates distanced by 2d
др
apart along y direction, and have width of w and length of L. μ is viscosity and -.
is a
дх
constant pressure gradient drive the flow. Velocity is parallel to the plate along the
longitudinal direction.
др
Vx=
(d² - - y²)
2μ
მე:
1) draw the profile as a curve in dependent of y, for -d≤ y ≤d.
2) Write and draw the vector form of the velocity.
3) find the shear rate at y = d by taking negative gradient of the velocity profile.
4) find the flow rate by taking integration of velocity profile across the surface area of
the flow.
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