Quote:
The effect has to be linear, given the same gun is used for all tests. Increase powder, increase max pressure, and increase velocity. I did not say that it is a one to one comparison, so the angle of the graph results are not necessarily a 45 degree line, but the line should be straight.
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Nothing about internal ballistics follows a linear relationship, in spite of urban myths and "common sense." The max pressure increase with increase powder charge is described accurately only by a system of second order partial differential equations (calculus) but can be approximated by an exponential curve
for a particular cartridge.
A careful examination of a complete data set of charge vs pressure for a specific cartridge will show the exponential nature of the relationship.
Here's a quick and dirty reference.
Internal Ballistics
Here's a treatment that requires an understanding of differential equations.
http://www.jstor.org/stable/91246?se...n_tab_contents