Several months ago I posted an exterior ballistics program. One of the requests was for a method to estimate muzzle velocity. I have been working on an internal ballistics program to estimate muzzle velocity and pressure for smooth bore cannons and mortars. The program is nearing completion (mortars and howitzers have not been programed).
As part of the program validation for cannons I found a report written by Capt. Rodman that details experiments conducted at the Washington Aresenal in 1844 - 1845 an a budget of 5000 dollars. The google book reference is attached. I have also attached a Table (word doc) comparing the program output with Rodman's data on a 1841 6 pounder.
I have also attached a program that addresses the internal ballistics of: Nepolean, 6 pounder, Ordance Rifle, Dom Parrott and DOM French 75. The velocity and pressures are dead on with published data or experimental data.
This test program show the velocity, pressure, acceleration, bore travel, energy balance, temperature and powder burned for 5 cannon listed above. The Ordance Rifle data is from the safety study in published in the Artilleryman Magazine.
The most frustration thing about developing this program was the lack of good thermodynamic data on black powder. I finally gave up and paid for the appropriate laboratory tests (not cheap).
http://books.google.com/books?id=1646AAAAcAAJ&pg=PA302&lpg=PA302&dq=Musket+Powder+Charge+Velocities&source=bl&ots=KFWoCpYVBr&sig=DO6heAv-zSZTcncGnvcJSgB7U-0&hl=en&ei=LaCrTKGcOIH-8AbLueGcCA&sa=X&oi=book_result&ct=result&resnum=8&ved=0CCsQ6AEwBw#v=onepage&q=Musket%20Powder%20Charge%20Velocities&f=false