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EXPERIMENTAL TESTS OF THE PROPORTIONALITY OF AERODYNAMIC DRAG TO AIR DENSITY FOR SUPERSONIC PROJECTILES

机译:气动弹丸与超音速弹的空气密度比的实验研究

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摘要

Theory recognizes that supersonic drag coefficients depend on both Mach number andReynolds number, which includes an implicit dependence of drag coefficient on airdensity. However, many modern approaches to computing trajectories for artillery andsmall arms treat drag coefficients as a function of Mach number and assume nodependence on Reynolds number. If drag force is strictly proportional to air density forsupersonic projectiles, the drag coefficient should be independent of air density over arange of Mach numbers. Experimental data to test this assumption are not widelyavailable. This experiment determined drag on a 2.59 g projectile from M1.2 to M2.9 attwo atmospheric densities (0.93 kg/m3 and 1.15 kg/m3) using optical chronographs tomeasure initial and final velocities over a separation of 91.44 m. The results supporteddirect proportionality of aerodynamic drag to air density from M1.2 to M2.9 within theexperimental error of 1%-2%.
机译:理论认识到,超音速阻力系数取决于马赫数和 雷诺数,其中包括阻力系数对空气的隐含依赖性 密度。但是,许多现代方法都可以计算火炮和飞机的弹道 小型武器将阻力系数视为马赫数的函数,并假设没有 依赖雷诺数。如果拖曳力与空气密度严格成正比 超音速弹丸,阻力系数应与空气密度无关 马赫数范围。测试该假设的实验数据并不广泛 可用的。该实验确定了2.59 g弹丸从M1.2到M2.9的阻力 使用光学计时码表记录两种大气密度(0.93 kg / m3和1.15 kg / m3) 在91.44 m的距离上测量初始速度和最终速度。结果支持 空气阻力与空气密度之间的直接比例从M1.2到M2.9 实验误差为1%-2%。

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