An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. as shown in Figure 1. The flow is caused by the movement of the upper plate which has a velocity U, while the bottom plate is fixed. If U =7 m/s and b= 1 cm, and there is no pressure gradient in the flow direction. A.) Start with Navier-Stokes equations and determine the velocity at the point x = 3 cm and y= 0.41 cm. The value of the velocity is.B.) Calculate the magnitude of the vorticity at the same point. The magnitude value of vorticity. C.) Calculate the rate of angular deformation at the same point. The angular deformation value
An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. as shown in Figure 1. The flow is caused by the movement of the upper plate which has a velocity U, while the bottom plate is fixed. If U =7 m/s and b= 1 cm, and there is no pressure gradient in the flow direction. A.) Start with Navier-Stokes equations and determine the velocity at the point x = 3 cm and y= 0.41 cm. The value of the velocity is.B.) Calculate the magnitude of the vorticity at the same point. The magnitude value of vorticity. C.) Calculate the rate of angular deformation at the same point. The angular deformation value
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. as shown in Figure 1. The flow is caused by the movement of the upper plate which has a velocity U, while the bottom plate is fixed. If U =7 m/s and b= 1 cm, and there is no pressure gradient in the flow direction. A.) Start with Navier-Stokes equations and determine the velocity at the point x = 3 cm and y= 0.41 cm. The value of the velocity is.B.) Calculate the magnitude of the vorticity at the same point. The magnitude value of vorticity. C.) Calculate the rate of angular deformation at the same point. The angular deformation value
Transcribed Image Text:An incompressible viscous flow is contained between two parallel plates
separated from each other by distance b. as shown in Figure 1. The flow is
caused by the movement of the upper plate which has a velocity U, while the
bottom plate is fixed. If U = 7 m/s and b= 1 cm, and there is no pressure gradient
in the flow direction.
U
Fixed
plate
Fig Q1: Flow between two plates. The bottom is fixed and the upper is moving.
Work to 4 significant digits. Enter all values using base units or their
combinations, i.e. m, m/s, Pa, N. Do not use multiples as e.g. mm, kPa.
You can use values with exponents, such as 0.12e3.
a)
Start with Navier-Stokes equations and determine the velocity at the point x = 3
cm and y= 0.41 cm.
The value of the velocity is
Transcribed Image Text:b)
C)
Calculate the magnitude of the vorticity at the same point.
The magnitude value of vorticity
Calculate the rate of angular deformation at the same point.
The angular deformation value
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