Calculating Pressure Difference w/ Bernoulli Law for Bay Inlet

Click For Summary
SUMMARY

The discussion focuses on calculating the pressure difference in a bay inlet using Bernoulli's principle. The user has parameters such as inlet area (Ai), inlet velocity (vi), and mass flow (mi) but lacks information about the outlet. The key question revolves around whether the pressure difference is determined solely by the stagnation pressure inside the bay (Pstaginside) minus the ambient pressure (Pamb) or if the dynamic pressure of the external air influences this calculation. The user indicates a resolution to their query but does not provide specific numerical values.

PREREQUISITES
  • Understanding of Bernoulli's equation and its applications
  • Knowledge of fluid dynamics concepts such as static and dynamic pressure
  • Familiarity with pressure measurement units and calculations
  • Basic principles of mass flow rate in fluid systems
NEXT STEPS
  • Study the application of Bernoulli's equation in real-world scenarios
  • Learn about pressure measurement techniques in fluid dynamics
  • Research the effects of outlet conditions on pressure calculations
  • Explore advanced fluid dynamics simulations using software like ANSYS Fluent
USEFUL FOR

Engineers, physicists, and students in fluid dynamics or mechanical engineering who are involved in pressure calculations and system design related to fluid flow in confined spaces.

adoprea
Messages
5
Reaction score
0
I have a container with one inlet and one outlet. I have the area of the inlet, Ai, velocity vi of the air coming in, and mass flow mi (assume a plane with an air inlet to a bay). I don't know anything about the outlet (just that there is one). What I need to do is calculate the size of an extra hole to be made in the bay so that the pressure in the bay reaches a certain value P2, which is lower than the stagnation pressure of the air coming in the bay.

I approached the problem with the Bernoulli law, as I ignore the incompressibility of the air. So I have Pstag in the bay, which is static pressure + dynamic pressure of the air coming in, and outside the bay I have the ambient pressure. Is the pressure difference between the bay inside and outside Pstaginside-Pamb or does the dynamic pressure of the air outside the pressure play a role?

And after that?

I can explain more if it is not clear enough. Thank you in advance for all the tips.
 
Physics news on Phys.org
Can you give the numbers too?
 
There are no numbers, it is just letters.
I will Close the topic, since I Think I might have figured out the answer.
Thank you anyway.
 

Similar threads

Clarifying the Definition Total/Stagnation Pressure (p₀) in Bernoulli'
  • · Replies 2 ·
Replies
2
Views
1K
Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
  • · Replies 8 ·
Replies
8
Views
2K
Bernoulli’s Equation and External Forces
  • · Replies 4 ·
Replies
4
Views
2K
A water-bottle demonstration of atmospheric pressure
  • · Replies 6 ·
Replies
6
Views
2K
Pressure Difference: F=10 Tonnes, A=100 sq m - Calculate & Understand
  • · Replies 5 ·
Replies
5
Views
2K
Bernoulli equation related to minimum pressure inside train
  • · Replies 18 ·
Replies
18
Views
3K
Find volume of pesticide after pressure decreases
  • · Replies 3 ·
Replies
3
Views
1K
[Aerodynamics] Bernoulli's equation and Pressure Coefficient
  • · Replies 4 ·
Replies
4
Views
4K
Boyle's law pressure calculation
  • · Replies 3 ·
Replies
3
Views
2K
Mixing two ideal gases with different V, T at constant pressure
  • · Replies 16 ·
Replies
16
Views
4K