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将一维不定常流自模拟函数推广到一般形式,结合量纲理论和流体力学基本运动方程,导出总能量为常数情况下的理想气体一维不定常流自模拟运动基本微分方程组.该理论模型表明,由流体速率u和自模拟面速率r.组成一个无量纲特性参数L,用L作自变量时理想气体一维不定常流自模拟运动的规律具有常微分方程的最简数学形式.该模型克服了点爆炸Taylor自模拟温度函数原点附近趋于无穷大的问题,具有重要意义.
One-dimensional unsteady flow is generalized from the analog function to its general form. Based on the theory of dimension and the fundamental equations of fluid mechanics, a one-dimensional ideal flow basic differential equation system is derived for the case of constant total energy. The model shows that the law of dimensionless characteristic parameter L is composed of fluid velocity u and velocity r from the simulated surface, and the law of one-dimensional unsteady flow of ideal gas from simulated motion when L is used as an independent variable has the simplest mathematical form of ordinary differential equation. This model overcomes the problem that point explosion Taylor approaches infinity near the origin of the simulated temperature function and is of great significance.