CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > General Forums > Main CFD Forum

Analytical Solution

Register Blogs Members List Search Today's Posts Mark Forums Read

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   August 20, 2004, 04:19
Default Analytical Solution
  #1
Newbie
Guest
 
Posts: n/a
Hi, Everyone

Can anyone tell me if there is a analytical solution for the equation as follow:

d2u/dx2(two times derivative of x)+lamda(constant)*x2(square of x)*exp(u)=0

The bounary condition is :u(0)=u(1)=0

Thanks!
  Reply With Quote

Old   August 20, 2004, 05:46
Default Re: Analytical Solution
  #2
Tom
Guest
 
Posts: n/a
It's highly unlikely that there is an analytic solution to the equation. I suspect the only (obvious) solution to the equation is

u = -4log(x), lambda=-4,

and this cannot be adjusted to satisfy the boundary conditions.
  Reply With Quote

Old   August 20, 2004, 18:23
Default Re: Analytical Solution
  #3
Mohsen
Guest
 
Posts: n/a
the solution to that equation is of the nature:

u=A*exp(-x^2)

in which A is a constant determined in terms of lambda. But as Tom says this cannot satisfy the BC you presented.
  Reply With Quote

Old   September 7, 2004, 10:28
Default driven cavity
  #4
aswad yusak
Guest
 
Posts: n/a
i want to know, how to use analytical solution in my problem.I'm a final year student now doing my thesis.My thesis is 'driven cavity with aspect ratio 0.25'. I hope you can give me some idea to start my thesis.
  Reply With Quote

Reply

Thread Tools Search this Thread
Search this Thread:

Advanced Search
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
CFL Condition Matt Umbel Main CFD Forum 19 June 30, 2020 09:20
Analytical solution for lid driven cavity Mike M. Main CFD Forum 16 July 5, 2012 15:30
Analytical solution to the quarter five problem Sadek Main CFD Forum 1 March 15, 2006 10:04
Analytical Solution Abhishek Jain Main CFD Forum 0 February 8, 2006 01:40
Analytical solution for radiation Chrys Correa Main CFD Forum 6 November 25, 1999 10:59


All times are GMT -4. The time now is 07:44.