Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
1997
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 1997

[Date Index] [Thread Index] [Author Index]

Search the Archive

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



  • Prev by Date: soliton interactions
  • Next by Date: A Recreational Endeavour
  • Previous by thread: soliton interactions
  • Next by thread: A Recreational Endeavour