METAL HOLE FILTER WITH KNOWN HOLE AREA: How to estimate the temperature (T2) on the other side if I know on one side (T1) . I want to get this from the pressure drop (P2-P1) I already calculated? The filter is rectangular ( a x b ) and the area free for the passage of area is S . The filter is inserted into a hot air stream of low velocity like 0,1 m / s ? I just need an estimate and not a very precise value In other words: how to convert pressure drop into temperature drop?

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Welcome to the thermodynamics forum,

From what I understood, you already know the pressure drop over the length of the pipe and want to calculate the temperature at the exit.

These types of problems are solved by using the analogy between heat transfer and fluid dynamics. (For example, Chilton-Colburn analogy, or Reynolds Analogy

)In your case, assuming forced internal flow through the pipe the problem can be solved as follows:

Calculate friction factor (f) from pressure drop

Calculate the Nusselt number (Nu) by using the analogy

Calculate the heat transfer coefficient(h) using the Nusselt number

Calculate the exit temperature using Newton's law of cooling. Q = hA(Te-Ti)

(I am assuming you already know the amount of heat transferred in this process from the fluid. It can be calculated using Q = mcdT. If you don't know it you have to iterate between values until you get a satisfactory value of h)

I have not mentioned the entire process here. You will have to decide on which analogy to use depending on the values of Reynolds and Prandtl numbers.

Let me know if you have any doubt.

Hi. I think the links you sent have the answer to my question. I am implementing the analogies to check the results. This article does more or less in the direction of my objetive

https://www.researchgate.net/publication/267576124_Heat_Transfer_Through_Metal-Foam_Heat_Exchanger_at_Higher_Temperature/link/54c27c7a0cf219bbe4e802f4/download