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SCALAR VARIANCE SPECTRUM IN ENSTROPHY CASCADE RANGE OF 2-D TURBULENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(4): 400-403. DOI: 10.6052/0459-1879-1992-4-1995-754
Citation: SCALAR VARIANCE SPECTRUM IN ENSTROPHY CASCADE RANGE OF 2-D TURBULENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(4): 400-403. DOI: 10.6052/0459-1879-1992-4-1995-754

SCALAR VARIANCE SPECTRUM IN ENSTROPHY CASCADE RANGE OF 2-D TURBULENCE

  • The nonequilibrium statistical-mechanics theory of a passive scalar field convected by turbulence is applied to study the variance spectrum G(k) of a 2-D (two-dimensional) turbulent passive scalar field in the convective range, while the velocity spectrum E(k)= cX2/3k-3 in the enstrophy cascade range, here X is the enstrophy dissipation rate, C is a dimensionless coefficient. The closure equations in this case are divergent due to the nonlocalness of the cascade process in 2-D turbulence. In order to overco...
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