タイトル | Near-symmetric instability for general Prandtl number |
著者(英) | Reynolds, Nathaniel D.; Miller, Timothy L. |
著者所属(英) | NASA Marshall Space Flight Center|Universities Space Research Association |
発行日 | 1987-02-01 |
言語 | eng |
内容記述 | An analysis of the stability of a simple baroclinic flow to perturbations whose horizontal wave vector lies in and near the vertical plane containing the density gradient has been performed. The Ekman number (E) and 'azimuthal' wavenumber (alpha) were both assumed much less than 1, and expansions about these quantities were performed for the eigenmodes and Richardson number (R). Agreement with the previous analysis of Busse and Chen (1981) that the correction to the critical R was O(alpha) for Prandtl number (P) away from unity was obtained. An expression for the correction to the critical R for arbitrary P, and an approximate expression for P = 1 were obtained as new results. The correction for P = 1 has the same sign as that for P less than 1, and is O(alpha E exp 2/3). This result compares well with the numerical results of Miller and Antar (1986) for small E. |
NASA分類 | METEOROLOGY AND CLIMATOLOGY |
レポートNO | 87A40809 |
権利 | Copyright |
URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/377574 |