Decompression function

by intervoxel
Tags: decompression, function
intervoxel is offline
Nov19-08, 01:45 PM
P: 134
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:

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


[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]


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.

Phys.Org News Partner Mathematics news on
Math modeling handbook now available
Hyperbolic homogeneous polynomials, oh my!
Researchers help Boston Marathon organizers plan for 2014 race

Register to reply

Related Discussions
Sudden decompression Classical Physics 3
Bone Decompression General Physics 0
[SOLVED] 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