Using Serrin-Joseph's energy method and variational principle, the nonlinear barotropic stability criteria of the basic flow with the total energy and total potential enstrophy was found from a nonlinear quasi-geostrophic barotropic equa-tion embedded with frictional dissipation, thermal driving and large topography used by Charney in his investigation of the multiple flow equilibria.
From a nonlinear quasi-geostrophic equation set including f rictional dissipation and a nonlinear shallow water equation including frictional dissipation and large topography, using Serrin-Joseph's energy method, by means of the variational principle, the nonlinear stability criterions of the shearing basic flows both above two equation sets with the total energy and total enstrophy respectively are found.
Starting from nonlinear equations on the F-plane containing frictional dissipation under the Boussinesq approximation, a new kind of generalized energy is proposed as the Lyapunov function, and averages are taken as any functions of (x, z) instead of the commonly-used means of bilinear functions of (x, z), thereby resulting in a new criterion of generalized nonlinear symmetric stability.
However, after the typhoon interacted with the westerlies, the KE generation by baroclinic process increased and the frictional dissipation played a significant role in this stage.
From a nonlinear quas i-geostrophic barotropic vorticity equation including frictional dissipation, using Serrin-Joseph's energy method, by means of the variational principle, we found the nonlinear barotropic stability crite-rions of the zonal basic flow with the total energy and total enstrophy the linear combination of above two quantities respectively.
From a two-level nonlinear baroclinic model including frictional dissipation, using Serrin-Joseph's energy method, by means of the variational principle, the nonlinear baroclinic stability criterions of nonzonal flows with the total energy, and total enstrophy, the linear combination of above two quantities respectively are found, and these criterions are compared with the linear stability criterion.
two-dimensional semigeostrophic frontogenesis model is used to study the influence of the condensation heating and frictional dissipation on frontogenesis circulation.
While strenghtening constantly with engine, it is comparatively common that the frictional dissipation causes destroy of fatigue and makes invalid problem on the connecting rod bearing.
This indicates that the frictional dissipation from the relaxation term can prevent the formation of singularities in small smooth solutions of the Euler-Poisson flow with spherical symmetry.
The fracture toughness of fiber-reinforced materials due to fiber debonding, frictional dissipation at fibre-matrix interface following debonding and other micro-fracture mechanisms is discussed with reference to strong and weak fibres.
Here the energy conversion, necessary to maintain the kinetic energy against the frictional dissipation, essentially occurs in connection with atmospheric disturbances.
The case selected in this study is an intense typhoon (Billie) which moved over the Southeast China and interacted with an extratropical frontal system. Kinetic energy(KE)budget and available potential energy (APE) were computed by using the quasi-Lagrangian scheme during the period 10 to 12 Aug. 1976. The main results of this study are: 1) In the weakening process of the landed typhoon, exchange of KE with the environment was small. Then the typhoon could be considered as a "quasi-closed" system. 2) In the...
By using of the two-level quasi-geostrophic baroclinic model on the β-plane, the finite-amplitude problem of baroclinic instability with frictional dissipation and heating of convcctivc condensation has discussed in this paper. The finite-amplitude equation gained is integrated numerically. It is shown that the amplitude of the unstable baroclinic wave evolves periodically if no dissipation exists, and finally approaches to an equilibrium state in which the amplitude will be zero while the...
From a nonlinear quas i-geostrophic barotropic vorticity equation including frictional dissipation, using Serrin-Joseph's energy method, by means of the variational principle, we found the nonlinear barotropic stability crite-rions of the zonal basic flow with the total energy and total enstrophy the linear combination of above two quantities respectively. Because of using a new alteration of Euler equation, we estimate its characteristic value very accurately and improve my fractional results o...