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FORCES DUE TO FLOW THROUGH PIPE’S BENDAndersen - Osel Sakadewa
1406604626 - 1406604600Teknik Kimia
A “BUM GUN”
A “Bum Gun” with entrance diameter 27
mm and at exit is 25 mm working at the
pressure from 0.1 MPa ~ 1 MPa. The grip
and the mouth make a 1350 angle bend.
The flow rate is 0.25 kg/s.
Neglecting the friction, determine the
magnitude needed and the direction to
suspend the forces exerted by the water!
STEPS 1 AND 2
• Define the control volume. This contains the fluid in the pipe• between the inlet,1, and the outlet, 2, shown below with the co-ordinate axes.
45𝑜
STEPS 3 AND 4
The forces acting on the fluid in the control volume are:a) Pressure forces are at 1 and at 2. Note that pressure forces always act at right
angles to the cross-sectional area and in to the control volume.b) Structural force, . Since we don’t know either the magnitude or the direction this is
drawn as its two components, and in the x and y directions, respectively.These forces are shown on the CV, as well as the directions of flow at 1 and 2.
45𝑜
STEP 5
From continuity:
STEP 6
Energy :
From Bernoulli’s equation (neglecting friction):
STEP 7
In the x-direction
In the y-direction
Therefore, the force exerted by the pipe on the fluid is:
61.78 °
A plumber is an adventurer who traces leaky pipes to their source.”
- Arthur Baer
Forces through Pipe Bend
Water flows through a reducing bend. Determine the magnitude of the force exerted on the bend in the x-direction. Assume energy losses to be negligible.
Step 1 & 2
1. Draw the sketch from the problem2. Between the fluid flow from A to B, shown with the co-ordinate axes3. Gaya yang bekerja pada fluida pada control volume adalah : a) Gaya tekan pada y
x
Penyelesaian• Continuity
• Energy
• Momentum