摘要:

A study is made of the nonlinear stability of a weakly supercritical zonal shear flow in the β-plane approximation. The dynamics of initially small disturbances are examined. The main nonlinear effects are associated with the rearrangement of the critical layer. It is shown that as the wave grows in amplitude, linear regimes of the critical layer (viscous and nonstationary) change over to a nonlinear regime while the exponential law of disturbance growth becomes a power-law.

ISSN:0309-1929    

DOI:10.1080/03091928708219202

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

The response or a depth independent two layer flow to an underlying topographic irregularity is studied for flows in which the square of the internal Froude number exceeds the Rossby number. Irrespective of the magnitude of the Rossby number, rotation is important for such flows. The flow generally adjusts so that the thickness of the lower layer is nearly constant. However small anomalies from the constant thickness are found to extend to very large distances from the topography when the Rossby number exceeds unity.

ISSN:0309-1929    

DOI:10.1080/03091928708219203

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

A sequence of two-dimensional numerical models of Bénard convection between rigid horizontal boundaries is presented. Steady solutions were obtained in the Rayleigh number range 5125.5≦R≦512550 or 3≦R/Rc≦300 for constant property, and infinite Prandtl number, Boussinesq fluids with unit aspect ratios. At higher values of the Rayleigh number time-dependent flow was found to occur. The rigid boundary convection solutions are compared with the predictions of boundary layer theory (blt) for rigid boundaries, laboratory experiments (between rigid boundaries), previous numerical solutions at lowerR, and with numerical solutions of convection at high Rayleigh number between free boundaries. The predicted variation of the Nusselt number,Nu, with Rayleigh number, agrees well with laboratory studies, and is in excellent agreement both with previous numerical studies in the lower rangeR/Rc≦20, and with bit predictions at highR. Finally, the rigid boundary scheme is used to model both the stress distribution and subsidence occurring from transient flow in the sub-continental lithosphere.

ISSN:0309-1929    

DOI:10.1080/03091928708219204

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor