Conservation of energy (AKA the First Law of Thermodynamics) requires that the chemical energy combusted in the round is going to show up somewhere else.
The frustrating point I see in the empirical review is that there really should not be a linear relationship between charge weight (potential energy) and velocity. We shouldn’t see flat spots, but we also shouldn’t see linear fit either - we should see a power factor relationship.
Charge weight represents Potential Energy, that energy which is stored within the powder, and we don’t really have any reason to believe the “efficiency factor” eta, η, should change as we change powder charge (η being the percentage of the potential energy of the powder which is converted to Kinetic energy on the bullet, as opposed to heat or noise, etc), so η is expected to be and considered to be a constant. So Ke = η * Pe; Ke has a linear relationship with Pe… and Ke = 1/2 * mass * velocity^2, and we know Ke = η * Pe, so η * Pe = 1/2 * mass * v^2, with mass, η, and 1/2 being constants, we should see PE = X * v^2. A power factor relationship, whereas empirically, we measure a linear relationship. So it really SHOULD be a power factor curve, but I personally assume we are simply living in a region of the potential curves which is “zoomed in” to such a tight margin that a linear approximation is still fitting nearly perfectly to what theoretically should be a 2nd order curve.
Amazingly to me, as an extreme example of this analysis: a couple of months ago for another thread online, I did this same regression on the Ultimate Reloader’s test last year where they ran 308win up over 100kpsi, and the relationship still maintained a .998 R2 value with a linear regression, for 8 grains of powder change! (Blue line below) The pressure curve did appear to be power factor proportionality, but within the region of observation, still fit .9923 R2 for a linear relationship. I had the pre-assumption that there would be a sudden obvious spike in the velocity result when crossing SOME charge weight, and that such a wide band of powder charges would start to better fit a power factor relationship instead of linear approximation, but the data still came out as a straight line.
