# Analytical modeling

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 July 9, 2007, 11:11 Analytical modeling #1 Dave Guest   Posts: n/a Hi All, I have to analytically model gas (nitrogen) flow in a pipe for my final year project. I am not sure where to start or which methods to use. Can someone give me an idea on how to start this work - for example which questions should i be asking and which methods should i use? Thanks for your help, Dave

 July 12, 2007, 04:50 Re: Analytical modeling #2 Dave Guest   Posts: n/a Is this a really tough project or is my question badly put? Does anyone know what assumptions should i start with? Thanks!

 July 13, 2007, 13:24 Re: Analytical modeling #3 Harish Guest   Posts: n/a Do you want to do it analytically or can you do numerical simulation? Analytical modelling might restrict the kind of problems you might work on?.Ok assuming you are working on a circular pipe flow,you can look at the paper of langhaar for analytical expression for the velocity and pressure before the flow becomes fully developed.Then for fully developed flow its just the poiseulle flow.Another thing that you can work on is developing some kind of asymptotic solution applicable for a wide variety of geometries.Another option might be modelling partial slip flow in micropipes?.

 July 24, 2007, 05:33 Re: Analytical modeling #4 Dave Guest   Posts: n/a Hi Harish, Thank you for your reply and sorry for my delay. I plan to do both analytical and numercial modelling of the flow in a circular pipe. Can you give me the name of the paper by Langhaar? Thanks Dave

 July 24, 2007, 11:34 Re: Analytical modeling #5 Harish Guest   Posts: n/a Steady flow in the transition length of a straight tube HL Langhaar - J. Appl. Mech, 1942. Good Luck

 July 24, 2007, 12:31 Re: Analytical modeling #6 Dave Guest   Posts: n/a Thanks Harish, I'm finding it difficult to get this paper, i don't suppose you have an copy or a link to a source? Regards, Dave

 July 24, 2007, 13:18 Re: Analytical modeling #7 Harish Guest   Posts: n/a I got the paper as a printed copy during one of my courses.I'm not sure of its availability online.

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