I want to know, how can I describe the boundary layer inside a tube with a non uniform profile. I want to establish the heat flux from this array
https://www.sciencedirect.com/search?qs=hydraulic%20and%20thermal%20boundary%20layer%20inside%20a%20tube&show=25&sortBy=relevance
Dear Oscar, I would suggest to state the question more precisely, it is rather unclear.
Dear Karol Pietrak, many thanks for answer, the issue that I want to solve is as follows:
Most of the theory shows a mathematical model to describe the hydarulic and thermal boundary layer in a tube/channel, however the the tube that I want to study presents a non-uniform geomtrical profile, I mean that the tube does not have parallel walls, in other words, it has dimples or turbulence triggers. So I want to know how I can describe by mean of a mathematical model this geomtrical profile
There is quite a lot of papers if you seek in google "boundary layer flow near roughness in pipe" and this lecture seems to be in accordance with the topic: https://ocw.mit.edu/courses/earth-atmospheric-and-planetary-sciences/12-090-introduction-to-fluid-motions-sediment-transport-and-current-generated-sedimentary-structures-fall-2006/course-textbook/ch4.pdf
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