A Theory for Nonprecipitating Moist Convection between Two Parallel Plates. Part I: Thermodynamics and “Linear” Solutions

A Theory for Nonprecipitating Moist Convection between Two Parallel Plates. Part I: Thermodynamics and “Linear” Solutions
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两个平行板之间的非沉淀湿对流理论第一部分:热力学和“线性”解决方案。

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发表时间:
1987
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通讯作者:
C. Bretherton
C. Bretherton
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作者:
C. Bretherton

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摘要 湿对流的一个显着特征是潜热。开发了一种简单、数学上易于处理但热力学上合理的 Kuo 型模型,以隔离潜热加热对湿对流的结构和组织的一些重要影响。研究了两个刚性水平板之间的浅层、未剪切的粘性潮湿空气层中的对流。与以前的分析工作不同,基于饱和空气中没有降水的假设,使用了现实的热力学方程。这一假设将可逆潜热加热与降水的复杂影响隔离开来。关键的一步是将潮湿空气的浮力表示为空气绝热守恒、线性混合特性的简单函数;这个函数在饱和空气中与在不饱和空气中是不同的。在第一部分中,新模型用于在条件不稳定、完全饱和的大气中寻找无穷小运动的解析解。与之前的工作一样,最...
Abstract A defining feature of moist convection is latent heating. A simple, mathematically tractable but thermody-namically reasonable Kuo-type model is developed to isolate some important effects of latent heating on the structure and organization of moist convection. Convection in a shallow, unsheared layer of viscous moist air between two rigid horizontal plates is examined. Unlike previous analytical work, a realistic thermodynamic equation is used, based on the assumption that no precipitation falls out of saturated air. This assumption isolates reversible latent heating from the complicating effects of precipitation. The crucial step is to express the buoyancy of moist air as a simple function of adiabatically conserved, linearly mixing properties of the air; this function is different in saturated than in unsaturated air. In Part I, the new model is used to find analytical solutions for infinitesimal motions in a conditionally unstable, exactly saturated atmosphere. As in previous work, the most u...