[Famous]

Hey Everyone,

So I am trying to make an exhaust heat recovery system using fluent.. I am trying to analytically calculate the pressure drop to compare it with the results from fluent. I've been searching for weeks however i always get pressure drop calculations with tubes through the baffles however for my case this isnt the issue.

So i was wondering how do i analytically calculate pressure drop for a 3D cylinder with N number of baffle with no tubes and is purely a solid.
The equation would be more beneficial as i will creating multiple scenarios.

Given
Mass flow rate: 0.05kg/s
Ideal Gas
diameter of inlet: 9cm
Length of cylinder: 30cm
inlet temperature of: 752.5K
pressure outlet 0 guage
baffle thickness = 0.5cm
baffle cut: 50%
baffle spacing :4cm
I have also attached a picture

Thank you soo much for your help.

[vinerm]

It appears that you are expecting help in analytical approach and not numerical approach. Is that correct?

[Famous]

Yes the analytical approach

[vinerm]

Well, the problem has no analytical solution. There is a million dollar prize, called Millennium prize, for just proving that such a solution exists and is unique. You can either solve it numerically, using CFD, but I suppose you have already done that or using lumped parameter models, such as, by dividing it into various zones. I suppose you are looking for empirical correlations and not for analytical solution. If you search with correct terms, you might find some approximation.