As shown in the figure, water enters and exits a U-shaped piece of pipe located in the horizontal plane. (1) the total absolute pressure in flange number is 200 kPa and there is a mass flow rate input of 40 kg/sec into the pipe. In flange (2), the total pressure is 150 kPa and there is a mass flow rate output of 30 kg/sec from the pipe. 4 kg/sec from section (3) and 6 kg/s from section (4) are discharged into the atmosphere at a pressure of 100 kPa. By working with relative pressures; Determine the total Rx and Ry forces on the two flanges connected to the pipe. (Answer: Rx = 1545,7 N (←) and Ry = 91,96 N (↑)) Note: -Mass flow rate = Specific mass x Flow rate. -Specific mass of water : ?w=1000 ??/?3 -A flange is a construction element that is usually produced as a standard for the sealed joining of two machine or installation elements. -The sections (1) and (2) are close enough to each other. -The momentum flow correction coefficient for the fluid entering and exiting the control volume is 1.025.
As shown in the figure, water enters and exits a U-shaped piece of pipe located in the horizontal plane. (1) the total absolute pressure in flange number is 200 kPa and there is a mass flow rate input of 40 kg/sec into the pipe. In flange (2), the total pressure is 150 kPa and there is a mass flow rate output of 30 kg/sec from the pipe. 4 kg/sec from section (3) and 6 kg/s from section (4) are discharged into the atmosphere at a pressure of 100 kPa. By working with relative pressures; Determine the total Rx and Ry forces on the two flanges connected to the pipe. (Answer: Rx = 1545,7 N (←) and Ry = 91,96 N (↑))
Note:
-Mass flow rate = Specific mass x Flow rate.
-Specific mass of water : ?w=1000 ??/?3
-A flange is a construction element that is usually produced as a standard for the sealed joining of two machine or installation elements.
-The sections (1) and (2) are close enough to each other.
-The momentum flow correction coefficient for the fluid entering and exiting the control volume is 1.025.
Step by step
Solved in 2 steps with 2 images