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- W2963659331 abstract "Algebraic growth is an interesting concept that has developed as a sequel to eigenvalue problems in hydrodynamic stability theories. Basically the algebraic growth concept is embedded in the secular solution of elementary differential equations. For example, in simple harmonic motion, the secular solution exists for ẍ + k2x = Asin(kt). This secular solution emerges as the form tcos(kt). This amounts to a linear growth in the amplitude of cos(kt). This concept can be extended in forced solutions of hydrodynamic stability theory provided that we have a class of waves wherein the phase speed is constant or at least nearly constant. This is relatively uncommon in transition in laminar flows. However it seems that in the near wall region in turbulent flows, the travelling wave modes do have near constant phase speeds. This gives rise to very many interesting nonlinear interactions and algebraic growth mechanisms. Together these can make extensive contributions to the production of turbulence in the near wall region. The above aspects are discussed in this paper." @default.
- W2963659331 created "2019-07-30" @default.
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- W2963659331 date "2019-01-01" @default.
- W2963659331 modified "2023-09-26" @default.
- W2963659331 title "Algebraic growth in turbulent shear flows" @default.
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- W2963659331 doi "https://doi.org/10.1063/1.5115972" @default.
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