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• W2053646814 abstract "The quasi-geostrophic two-layer model is used to study the response of finite baroclinic wave activity to small, slowly varying seasonal differential heating that is independent of the motion of the fluid. A perturbation scheme is established for the forced baroclinic wave problem, the expansion parameter being a power of the magnitude of the heating and depending on the magnitude of the dissipation. The physical basis for the choice of this power is that the heat flux due to baroclinic wave activity must be of the same order as the time-varying zonal heating. For large dissipation the wave amplitude equation is first order but with time-dependent coefficients, and the baroclinic wave activity is strongly correlated with the time variation of the heating. For small dissipation the amplitude equation is third order, and the behaviour of the wave activity is more complicated, exhibiting different types of periodic and aperiodic oscillations depending on the frequency and amplitude of the heating and the value of the friction coefficient. In general, there were no vacillations between equilibrium states for values of the friction coefficient greater than a critical value. However, aperiodic responses result for increasing magnitudes of the heating but this is moderated by decreasing the values of the heating frequency. When the friction coefficient is decreased below a critical value, vacillations about different equilibrium states occurred. In such situations, the baroclinic wave activity appears less correlated with the variations of the heating while the zonal flow modifications are rather well correlated. Physical considerations of eddy heat flux and energy transfer between zonal and wave field, as well as interpretations of observations, are presented throughout." @default.
• W2053646814 created "2016-06-24" @default.
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• W2053646814 date "1983-06-08" @default.
• W2053646814 modified "2023-09-23" @default.
• W2053646814 title "The response of finite-amplitude wave motions to seasonal heating of a baroclinic shear flow" @default.
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• W2053646814 doi "https://doi.org/10.1098/rspa.1983.0060" @default.
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