Bernolli's equation

*To*: mathgroup at smc.vnet.net*Subject*: [mg8713] Bernolli's equation*From*: Saeed Esmaily Rashid <saeedr at stud.ntnu.no>*Date*: Fri, 19 Sep 1997 02:47:54 -0400*Sender*: owner-wri-mathgroup at wolfram.com

Hello! My name is Saeed, and i have a problem which i hope you can help me to solve. The problem is as follows: Having Bernolli's equation (1/2)*u^2+(1/(Gamma-1)*a^2-G*M/r=(1/(Gamma-1))*ainf^2 i would like to write it as dimensionless equation using parameters below x \equiv r/(G*M/ainf^2), v \equiv u/a, z \equiv rho/rhoinf = (a/ainf)^(2/Gamma-1), eliminating z from the result using \dot M = 4*Pi*r^2*rho*u and \dot M = 4*Pi*lambda*(G*M/ainf^2)^2*rhoinf*ainf. The question is how can i substitute these parameters in Bernolli's equation in order to obtain desired result using Mma 3.0. Any help appreciated. Thakns