I'm looking for a way to (very) roughly estimate the convective heat transfer onto a rocket hull during atmospheric ascent (ideally through different planetary atmospheres). While I'm comfortable with most of the necessary variables, the heat transfer coefficient h seems to be a bit of a problem since it depends on a range of different parameters (Prandtl, Reynolds,...) that continuously change during the ascent.
Although I'm aiming for a simple and highly idealized approach, I fear that too much estimation adds up to a worthless solution.
I'm probably not the first person to think about that topic. Do you know of any links, papers, etc. to get me started?