Heat Transfer Calculation

[Gokul43201]

I would like to do a first principles heat transfer calculation for an ideal, monoatomic gas at entry temperature T, and pressure P flowing at velocity v (v is small, so flow is laminar) through a stainless steel tube at some uniform temperature T' > T.

But if someone has done this calculation before, and I find it hard to believe that no one has, I'd rather just copy off them.

After some moderate searching through Mass & Heat Transfer books, I haven't found anything that doesn't use some literature value of the heat transfer coefficient, h. Where can I find a more fundamental calculation than that ? I will settle for an ab-initio calculation at v=0.

 

[anorlunda]

There are too many factors to make calculation of the heat transfer coefficient practical. We all resort to empirical numbers for such cases.