# Laminar pipe flow

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

 May 10, 2012, 18:55 Laminar pipe flow #1 New Member   vahid Join Date: Dec 2011 Posts: 7 Rep Power: 5 Hi everyone, I want to model a laminar flow of water in a 3-D pipe. It's a basic and simple problem which has analytical solutions. As you know for a laminar flow in a pipe in fully developed region we have: um=-(r^2/(8.mu)).(dP/dz) where um is the mean velocity in each cross section and mu is the viscosity. and also: uc=2.um where uc is the maximum velocity in each cross section(center-line velocity). My problem is here that when I want to validate my modeling by these analytical solutions, there is difference between them and numerical results. I take the pressure drop value from fluent in each favorite cross section by defining iso-surface in fully developed region and put that value in the above formula but the result didn't match the analytical solution(um or uc). where is my mistake?how can i know the value of mean velocity in each section?defining an iso-surface and using report surface integrals/ mass weighted average is the right way to that purpose?

May 10, 2012, 22:12
#2
Senior Member

Lucky Tran
Join Date: Apr 2011
Location: Orlando, FL USA
Posts: 869
Rep Power: 16
Did you verify that your numerical solution has attained the fully developed state by comparing the axial velocity at multiple cross sections? Did you have a developing section or did you use periodic boundary conditions?

did you double check to make sure to use the same mu and everything else as Fluent does?

Quote:
 Originally Posted by vahidj defining an iso-surface and using report surface integrals/ mass weighted average is the right way to that purpose?
define a plane (not sure if iso-surface can give same result) but you must use area weighted average velocity. mass weighted average velocity is not physical.

 May 11, 2012, 07:53 #3 New Member   vahid Join Date: Dec 2011 Posts: 7 Rep Power: 5 luckytran, thanks to your reply yes by cheking the center-line velocity, I'm sure that flow is fully developed and I'm trying to validate the results in that region(Re=1500, D=10mm, L=2000mm). flow is fully developed about z=800mm and boundary conditions are in a simple form like velocity inlet for inlet zone and pressure outlet for outlet zone. about the properties like viscosity: yes I've checked them on the same iso-surfaces and other section and fluent uses same values that i use in analytical solutions. The value of mean velocity by defining a plane and using area weighted average is different from the mass weighted average but not equal or at least near to the analytical solution. what should I do to take exact and correct solution?

May 11, 2012, 13:27
#4
Senior Member

Lucky Tran
Join Date: Apr 2011
Location: Orlando, FL USA
Posts: 869
Rep Power: 16
Quote:
 Originally Posted by vahidj The value of mean velocity by defining a plane and using area weighted average is different from the mass weighted average but not equal or at least near to the analytical solution. what should I do to take exact and correct solution?
the bulk velocity, by definition is an area-weighted average velocity. the mass weighted average velocity is rather meaningless.

The only way to recover the bulk velocity from a mass-weighted average is to take a mass-weighted average area calculation. It should be clear now why the mass-weighted average velocity is meaningless.

 Thread Tools Display Modes Linear Mode

 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 OffTrackbacks are On Pingbacks are On Refbacks are On Forum Rules

 Similar Threads Thread Thread Starter Forum Replies Last Post mwhyte FLUENT 1 June 7, 2012 10:35 alireza.glz OpenFOAM 2 July 26, 2011 08:56 atmcfd ANSYS 0 January 4, 2010 23:19 manuel OpenFOAM Running, Solving & CFD 6 March 24, 2007 19:23 Maria Phoenics 8 November 27, 2001 12:26

All times are GMT -4. The time now is 04:01.