“…Repeated thermal effect will make the barrel bore geometry shape change. This may lead to a decrease the muzzle velocity, projectile stability, the firing accuracy and the tactical technical performance of the machine gun declining, [3]. Various mathematical methods are available for solving heat conduction in a composite medium, including Laplace transform method, [4,5], orthogonal expansion technique [6][7][8], Green's function approach, [9], line heat-source method, [10,11] and integral transform technique, [12] … etc.…”