Density in equilibrium distribution function November 22, 2016 03:46PM |
Registered: 2 years ago Posts: 2 |

Hi,

In the common Equilibrium distribution Function, we do not see the term rho (density). But in dimensionless form of the distribution function (sometimes referred as the normalized Maxwell’s distribution function) it comes up.

Common form= (4*pi*c^2)((m/2kT*pi)^3/2)(exp(-m.c^2/2kT*pi))

Normalized form= (rho/(2*pi/3))(exp(-3(c-u)^2/2))

(U=c-u, c=micro speed, u=fluid bulk speed)

Note that there are other types of normalized form. Does anybody know the mathematical procedure? I greatly appreciate it...

In the common Equilibrium distribution Function, we do not see the term rho (density). But in dimensionless form of the distribution function (sometimes referred as the normalized Maxwell’s distribution function) it comes up.

Common form= (4*pi*c^2)((m/2kT*pi)^3/2)(exp(-m.c^2/2kT*pi))

Normalized form= (rho/(2*pi/3))(exp(-3(c-u)^2/2))

(U=c-u, c=micro speed, u=fluid bulk speed)

Note that there are other types of normalized form. Does anybody know the mathematical procedure? I greatly appreciate it...

Re: Density in equilibrium distribution function May 13, 2017 01:08AM |
Registered: 8 years ago Posts: 2 |

Re: Density in equilibrium distribution function May 13, 2017 04:02AM |
Registered: 2 years ago Posts: 2 |

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