Maybe I've been missing something all these years, but I have never heard anyone mention a linear (or even non-linear) relationship between barrel temperature and MV. Obviously, barrel temp can effect accuracy, but I think that has to with things other than simple velocity. Ambient temperature can obviously affect velocity in an almost linear fashion depending on the temperature stability of the powder being used, but that is way different than the temperature of the tube through which the bullet is passing. I may be wrong, but I shoot a fair bit, and much of it with a labradar, and I have never put together that my velocity gets higher with each shot in a string, although the barrel temp obviously does. Granted, once the barrel gets hot enough that I cannot comfortably hold it, I let it cool back down to near ambient temperature, so maybe if I would keep shooting after the barrel is too hot to touch, a consistent velocity change might be noticed (but I doubt it). It seems some of my barrels actually keep shooting fairly well, even when too hot to touch, but many do not, and I don't believe it is solely related to velocity. Although I've been shooting quite a while, I think it will still be a long time (probably more than I have left
before I'm good enough that I have to worry about how much my barrel temp changes my velocity and, subsequently, my POI.