层状二维流动的基本方程式
The Fundamental Equations of Two-Dimensional Layer Flows
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摘要: 在很多海洋、大气等二维流动问题中所用的动力学方程往往沿用推广后的河流水力学方程或"纳维-斯托克斯方程"其中把湍流阻力项写成这样的方程式和湍流阻力项用到实际问题上去,无疑是存在着极大的局限性,而将导致矛盾百出.本文则从雷诺方程出发,把所有的物理量沿深度加以平均,求出平均以后的物理量所满足的运动方程,连续方程和扩散方程.Abstract: In many studies on two-dimensional flows in field of atmosphere and ocean the equations which are extension of river-hydraulic equations or Navier-Stokes equations are usually used.In these equations stand for turbulent resistance.Obviously use of these equations in practice may lead to contradiction.In this paper the average of Reynolds equations over depth is taken.The motion equations,continuity equation and diffusion equation are obtained for the average physical variables.
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