a)Assuming that the pressure is uniform on each of the channel walls, determinethe pressure difference between the upper and lower wall that is needed if therequired net force on the two walls is 1850 N pointing downward (in thenegative y-direction).Use a sign convention that a positive pressure difference or gradient meansthe pressure at the higher y-position is higher.The value of the pressure difference isPa.The value of the pressure gradient across the channel isPa/m.b)Your team agree that, from experience, the average velocity of the fluid isv = 49. Assuming that the velocity is uniform across the channel, andneglecting gravitational effects, determine the curvature R required togenerate this force with this flow velocity.Use a sign convention that a positive value indicates that the centre of theradius is above the channel, i.e. the middle of the channel is bent downwards.A negative radius indicates the middle of the channel is bent upwards.The curvature radius R ism. Water flows in a channel with uniform curvature R. The channel has heighth-4 mm and width w=215 mm (normal to the drawing plane) as shown in Fig Q3.The curved part of the channel has a length of 2 =100 mm in the x-direction.You can assume that the channel height is very small compared to the curvatureradius.Neglect effects of gravity.channelYA1lower wallhupper wallcentreline

GivenF=-1850 N since -y directionV=49 m/sh=4mmw=215mml=100mm

Assuming that the pressure is uniform on each of the channel walls, determine the pressure difference between the upper and lower wall that is needed if the required net force on the two walls is 1850 N pointing downward (in the negative y-direction). Use a sign convention that a positive pressure difference or gradient means the pressure at the higher y-position is higher. The value of the pressure difference is Pa. The value of the pressure gradient across the channel is Pa/m. b) Your team agree that, from experience, the average velocity of the fluid is

Assuming that the pressure is uniform on each of the channel walls, determine the pressure difference between the upper and lower wall that is needed if the required net force on the two walls is 1850 N pointing downward (in the negative y-direction). Use a sign convention that a positive pressure difference or gradient means the pressure at the higher y-position is higher. The value of the pressure difference is Pa. The value of the pressure gradient across the channel is Pa/m. b) Your team agree that, from experience, the average velocity of the fluid is

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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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

a)
Assuming that the pressure is uniform on each of the channel walls, determine
the pressure difference between the upper and lower wall that is needed if the
required net force on the two walls is 1850 N pointing downward (in the
negative y-direction).
Use a sign convention that a positive pressure difference or gradient means
the pressure at the higher y-position is higher.
The value of the pressure difference is
Pa.
The value of the pressure gradient across the channel is
Pa/m.
b)
Your team agree that, from experience, the average velocity of the fluid is
v = 49. Assuming that the velocity is uniform across the channel, and
neglecting gravitational effects, determine the curvature R required to
generate this force with this flow velocity.
Use a sign convention that a positive value indicates that the centre of the
radius is above the channel, i.e. the middle of the channel is bent downwards.
A negative radius indicates the middle of the channel is bent upwards.
The curvature radius R is
m.

Water flows in a channel with uniform curvature R. The channel has heighth-
4 mm and width w=215 mm (normal to the drawing plane) as shown in Fig Q3.
The curved part of the channel has a length of 2 =100 mm in the x-direction.
You can assume that the channel height is very small compared to the curvature
radius.
Neglect effects of gravity.
channel
YA
1
lower wall
h
upper wall
centreline

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