Pressure force on a control volume

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SUMMARY

The discussion centers on the pressure forces acting on a control volume in fluid dynamics. Specifically, it clarifies that the pressure forces due to p1 and p2 act in the same direction, with p1 pushing fluid into the control volume and p2 preventing fluid from exiting. This understanding is crucial for analyzing fluid behavior in control volumes, particularly in applications involving flow dynamics.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with control volume analysis
  • Knowledge of pressure force concepts
  • Basic equations of motion in fluid systems
NEXT STEPS
  • Study the Navier-Stokes equations for fluid motion
  • Learn about Bernoulli's principle and its applications
  • Explore control volume analysis techniques in fluid mechanics
  • Investigate the role of pressure gradients in flow behavior
USEFUL FOR

Students and professionals in engineering, particularly those focusing on fluid dynamics, mechanical engineering, and anyone involved in analyzing pressure forces in control volumes.

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Homework Statement


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Why do the pressure forces due to p1 and p2 act in the same direction?

Homework Equations

The Attempt at a Solution


I thought that, given the direction of the flow, the pressure force on the bottom and top would act in opposite directions
 
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The region outside the control volume exerts a pressure force on the region inside the control volume at two locations. The pressure at the top is pushing the fluid into the control volume. The pressure at the bottom is trying to keep the fluid from coming out of the control volume. Both these pressures act in the same direction (from outside the control volume to inside the control volume).

Chet
 

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