Assuming that the pressure is uniform on each of the ch the pressure difference between the upper and lower w required net force on the two walls is 1950 N pointing d y-direction). Use a sign convention that a positive pressure differenc pressure at the higher y-position is higher.

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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 1950 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
The value of the pressure gradient across the channel is
υ
Pa.
b)
Your team agree that, from experience, the average velocity of the fluid is
S
. 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.
-
Pa/m.
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.
Transcribed Image Text: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 1950 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 The value of the pressure gradient across the channel is υ Pa. b) Your team agree that, from experience, the average velocity of the fluid is S . 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. - Pa/m. 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.
Water flows in a channel with uniform curvature R. The channel has height h=6
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 1 =120 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
y
V
X
1
lower wall
h
upper wall
centreline
Fig Q3: Geometry of curved channel, drawing not to scale. The curvature of the
channel is not shown, as too small to be drawn accurately at this scale.
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.
Transcribed Image Text:Water flows in a channel with uniform curvature R. The channel has height h=6 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 1 =120 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 y V X 1 lower wall h upper wall centreline Fig Q3: Geometry of curved channel, drawing not to scale. The curvature of the channel is not shown, as too small to be drawn accurately at this scale. 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.
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