Determine the magnitude and direction of the reaction force (F) at a 90° pipe bend that is passing a mass flow rate of 1,200 kg/sec. The diameter of the pipe is 82 cm and the pressure head is 8.8 m just upstream of the bend and 8.6 m downstream of the bend. (unit weight of water is 9.81kN/m³) Vin Vant F Solution: . The forces on the control volume: pressure forces and the bend reaction force; 1. Area of the pipe is A = m³/si 3. Velocity of flow is v= Vin,x = Vout,y= 2. Flow rate is Q = • Pressure forces: m²; 1. Pressure at upstream P₁= kPa; m/s;
Determine the magnitude and direction of the reaction force (F) at a 90° pipe bend that is passing a mass flow rate of 1,200 kg/sec. The diameter of the pipe is 82 cm and the pressure head is 8.8 m just upstream of the bend and 8.6 m downstream of the bend. (unit weight of water is 9.81kN/m³) Vin Vant F Solution: . The forces on the control volume: pressure forces and the bend reaction force; 1. Area of the pipe is A = m³/si 3. Velocity of flow is v= Vin,x = Vout,y= 2. Flow rate is Q = • Pressure forces: m²; 1. Pressure at upstream P₁= kPa; m/s;
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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Fluid Mechanics Hw #6
Transcribed Image Text:• Conservation of momentum on the bend:
1. [Fx = pQ(Vx,out - Vx,in), thus Fx =
2. [Fy = pQ(Vy,out - Vy,in), thus Fy =
3. The magnitude of the bend force is F =
KN pointing
KN pointing
KN.
<D
=
<<>
Transcribed Image Text:Determine the magnitude and direction of the reaction force (F) at a 90° pipe bend that is passing a mass flow rate of
1,200 kg/sec. The diameter of the pipe is 82 cm and the pressure head is 8.8 m just upstream of the bend and 8.6 m
downstream of the bend. (unit weight of water is 9.81kN/m³)
Vin
Vant
F
Solution:
. The forces on the control volume: pressure forces and the bend reaction force;
1. Area of the pipe is A =
2. Flow rate is Q =
• Pressure forces:
m³/si
3. Velocity of flow is v= Vin,x = Vout,y=
m²;
1. Pressure at upstream P₁=
kPa;
kPa;
2. Pressure at downstream P2=
3. Pressure forces acting on the inlet area is F₁ =
m/s;
4. Pressure forces action on the outlet area is F2 =
KN;
KN;
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