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
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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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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.
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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