Calculating Pressure Difference w/ Bernoulli Law for Bay Inlet

AI Thread Summary
The discussion focuses on calculating the size of an additional hole in a bay inlet to achieve a specific pressure value using Bernoulli's law. The user has parameters for the inlet area, velocity, and mass flow but lacks details about the outlet. They are trying to determine if the pressure difference is calculated as the stagnation pressure inside the bay minus the ambient pressure or if the dynamic pressure of the outside air should also be considered. The user indicates they may have found a solution and expresses gratitude for any assistance. The conversation highlights the application of Bernoulli's principle in fluid dynamics for pressure calculations.
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.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Clarifying the Definition Total/Stagnation Pressure (p₀) in Bernoulli'
Replies
2
Views
951
Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
Replies
8
Views
2K
Bernoulli’s Equation and External Forces
Replies
4
Views
2K
A water-bottle demonstration of atmospheric pressure
Replies
6
Views
2K
Pressure Difference: F=10 Tonnes, A=100 sq m - Calculate & Understand
Replies
5
Views
1K
Bernoulli equation related to minimum pressure inside train
Replies
18
Views
3K
Find volume of pesticide after pressure decreases
Replies
3
Views
1K
[Aerodynamics] Bernoulli's equation and Pressure Coefficient
Replies
4
Views
4K
Boyle's law pressure calculation
Replies
3
Views
2K
Mixing two ideal gases with different V, T at constant pressure
Replies
16
Views
3K

Hot Threads

Recent Insights

Back
Top