The Fundamental Equations of Two-Dimensional Layer Flows

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Tsai Shu-tang, Wu Feng. The Fundamental Equations of Two-Dimensional Layer Flows[J]. Applied Mathematics and Mechanics, 1986, 7(9): 779-784.

Citation:

Tsai Shu-tang, Wu Feng. The Fundamental Equations of Two-Dimensional Layer Flows[J]. Applied Mathematics and Mechanics, 1986, 7(9): 779-784.

Citation:

Tsai Shu-tang, Wu Feng. The Fundamental Equations of Two-Dimensional Layer Flows[J]. Applied Mathematics and Mechanics, 1986, 7(9): 779-784.

1.
University of Science and Technology of China, Hefei; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
2.
University of Science and Technology of China, Hefei

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.