Register to reply

Decompression function

by intervoxel
Tags: decompression, function
Share this thread:
intervoxel
#1
Nov19-08, 01:45 PM
P: 135
Hi,
I'm trying to assemble a function describing the decompression of an ideal gas in a infinitely long box of side L. The gas is initially confined in a volume [tex]L^3[/tex] at one end.

So far I got the following formula which gives the time the i-th particle takes to reach the barrier at x=L:

[tex]
t_i = \frac{2 L - x_i}{\overline{v} \cos(a_i)}
[/tex]

where

[tex]x_i[/tex] is a random variable between 0 and L
[tex]a_i[/tex] is a random variable between 0 and [tex]\pi /2[/tex]
[tex]\overline{v}[/tex] is the average speed of a gas particle

What I need is [tex]n(t) = f(N, L, \overline{v},t)[/tex]

where

N is the total number of particles
n(t) is the the number of particles in the original volume [tex]L^3[/tex] after time t

Please, help. I'm stuck a long time in this.

Thanks
Phys.Org News Partner Mathematics news on Phys.org
Math journal puts Rauzy fractcal image on the cover
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'

Register to reply

Related Discussions
Sudden decompression Classical Physics 3
Bone Decompression General Physics 0
Dirac delta function and Heaviside step function Advanced Physics Homework 2
Explosive decompression accidents Mechanical Engineering 1
Airliner crashes due to decompression failure ? General Discussion 2