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- W1971779045 abstract "We consider the propagation of a plane front separating a turbulent region of fluid from a quiescent region. Initially, the turbulent-energy distribution as a function of z, the displacement normal to the front, is assumed to be localized, and after a time t, general renormalization-group arguments show that there is a similarity solution of the form q(z,t)ensuremath{sim}${mathit{t}}^{mathrm{ensuremath{-}}(2/3+2mathrm{ensuremath{alpha}}mathrm{ifmmode tilde{}else ~{}fi{}})}$f (${mathit{zt}}^{mathrm{ensuremath{-}}(2/3+mathrm{ensuremath{beta}})}$, ensuremath{epsilon}), where ensuremath{alpha}ifmmode tilde{}else ~{}fi{} and ensuremath{beta} are ensuremath{epsilon}-dependent anomalous dimensions, satisfying the scaling law ensuremath{alpha}ifmmode tilde{}else ~{}fi{}+ensuremath{beta}=0 and ensuremath{epsilon} is a measure of the dissipation. Using perturbation theory, we calculate values of ensuremath{alpha}ifmmode tilde{}else ~{}fi{} and ensuremath{beta} to O(ensuremath{epsilon}), which are in good agreement with numerical calculations, and we explicitly verify the above scaling law and find the form of the scaling function f." @default.
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- W1971779045 date "1992-04-01" @default.
- W1971779045 modified "2023-09-26" @default.
- W1971779045 title "Renormalization-group theory for the propagation of a turbulent burst" @default.
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- W1971779045 doi "https://doi.org/10.1103/physreva.45.5572" @default.
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