Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (11): 1003-1012.

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CONTAMINANT CONTRACTION IN TWO-DIMENSIONAL OSCILLATORY FLOWS

Liu Yu-lu, Tsai Shu-tang   

  1. Shanghai Inst. of Appl. Math, and Mech., Shanghai Univ. of Tech., Shanghai
  • Received:1992-07-31 Online:1993-11-18 Published:1993-11-18
  • Supported by:

    Project supported by National Natural Science Fundation of China

Abstract: If the vertically-mixing time is comparable with that of period oscillatory current, the contaminant contraction may occur. The coefficient of shear dispersion is negative (singularity). According to the two-dimensional delay-diffusion equation derived by the author[7]: where u(t),v(t) are vertically-averaged velocities, the equations for X(t), Y(t), central displacement, dispersion tensor, had been derived. is positive when t is small. If the is large, the memory functions may be negative. Also the expressions for and X, Y had been obtained.

Key words: shear dispersion, oscillatory flow, memory function, contaminant contraction

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