Pressure Drop in a vacuum cleaners

Click For Summary

Homework Help Overview

The discussion revolves around calculating the pressure drop in a professional vacuum cleaner, utilizing principles from fluid dynamics, particularly Bernoulli's equation. The original poster presents various parameters and equations related to fluid velocity and energy density.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants inquire about the specifics of the problem, including the conditions under which the pressure drop is to be calculated and the relevance of various components in the vacuum cleaner's design. There is a suggestion that the problem may require more complex analysis beyond simple calculations.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the original poster's intent and the specific scenario being analyzed. Some guidance has been offered regarding the complexity of the problem, indicating that computational fluid dynamics (CFD) or empirical testing may be necessary for a comprehensive understanding.

Contextual Notes

There is uncertainty regarding the conditions of the pressure drop calculation, such as whether it pertains to the vacuum's operation or its design features. The original poster's parameters may not fully capture the complexities involved in real-world applications.

Marylaax
Messages
3
Reaction score
0

Homework Statement


[/B]
Q = A / V
Bernollis therom → γH = P+γZ+ρ.v2 /2
Air Flow Speed = 0.058 m3/s
A = Section Area of the tube = π.r2
r = 19.65 mm
ρ =1000 kg/m3
g =9.8 m/s2
P=pressure energy of water = 2.338

Homework Equations


Find :
V= Fluid Velocity = ?
H=Energy Denisty = ?
Z= Geodesic Height = ?

The Attempt at a Solution


https://drive.google.com/file/d/0B49nLOs3rXGEbXJOemhyQU5IaTg/view?usp=sharing
 
Last edited by a moderator:
Physics news on Phys.org
Could you please explain what the actual problem is that you are trying to solve ?
 
Nidum said:
Could you please explain what the actual problem is that you are trying to solve ?
We need to calculate the pressure drop in a professional Vacuum Cleaner
 
Marylaax said:
We need to calculate the pressure drop in a professional Vacuum Cleaner

It's still not clear what you're trying to do.
Pressure drop when and where? When the vacuum is being used or not? At what flow rate?
The pressure drop when the vacuum isn't being used is mainly due to the dirt separation assembly and as most vacuums have a combination of a cyclone separator, foam filter/s and complex flow paths, it can't be found by hand calculations. CFD or testing is needed. If you add additional restrictions, like vacuuming some carpet, the problem becomes even harder.

So presumably you've been given some unrealistic, simplified problem that can be solved with Bernoulli's equation. Tell us that problem and we might be able to make some progress.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
5
Views
2K
Replies
1
Views
10K
Replies
1
Views
9K
  • · Replies 1 ·
Replies
1
Views
17K
  • · Replies 8 ·
Replies
8
Views
5K
Replies
10
Views
8K
Replies
3
Views
10K
  • · Replies 2 ·
Replies
2
Views
3K