Fluid Mechanics Question: Calculating Pressure for Inlet and Outlet of a Bend

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SUMMARY

The discussion centers on calculating the pressure at the outlet of a bend in fluid mechanics using Bernoulli's equation. The user has successfully calculated the inlet and outlet velocities and understands that pressure is defined as force per unit area (P = F/A). To determine the outlet pressure, it is essential to apply Bernoulli's equation, which requires knowledge of the inlet and outlet areas along with the volumetric flow rate. The inlet pressure is provided, allowing for the calculation of the outlet pressure based on the established principles of fluid dynamics.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Ability to calculate velocities from volumetric flow rates
  • Familiarity with pressure calculations (P = F/A)
NEXT STEPS
  • Study Bernoulli's equation in detail, focusing on its applications in fluid flow
  • Learn how to calculate inlet and outlet velocities based on area and flow rate
  • Explore the concept of pressure loss in bends and fittings in fluid systems
  • Investigate real-world applications of fluid mechanics in engineering design
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Students studying fluid mechanics, engineers working with fluid systems, and anyone involved in calculating pressures in piping and ducting systems.

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Homework Statement



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Homework Equations



P = F/A

The Attempt at a Solution



Hey, recently I started revising fluid mechanics and just going some basic problems. Here I need some help with part (ii)

Well I've calculated the inlet and outlet velocities, converted all units to their appropriate values in meters, seconds and pascals etc.

I know that pressure is force per unit area, and thus can obviously calculate it for the inlet of the bend. But how does this relate to the outlet pressure of the bend? How do I calculate that?

Thanks in advance everyone.
 
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You don't need to use P=F/A. Pressure at the inlet is given.

You should use Bernoulli's equation to find the pressure at the outlet. Since velocities are needed in Bernoulli's, you have to calculate the inlet and outlet velocities. These can be calculated since you know the inlet and outlet areas, as well as the volumetric flow rate.
 

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