The Modified Gamma Size Distribution Applied to Inhomogeneous and Nonspherical Particles: Key Relationships and Conversions
The Modified Gamma Size Distribution Applied to Inhomogeneous and Nonspherical Particles: Key Relationships and Conversions
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应用于不均匀和非球形颗粒的修正伽玛尺寸分布：关键关系和转换
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Wei Huang
中科院分区：
文献类型：
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作者：
G. Petty;Wei Huang
摘要四参数修正伽玛分布（MGD）是描述从气溶胶、云滴或冰粒到液态和冰冻降水等粒子类型粒度分布的最通用的数学模型。常见的三参数伽玛分布、指数分布（例如，Marshall-Palmer）和幂律分布（例如，都是特例。根据上下文，在给定配方中使用的颗粒“尺寸”可以是实际几何直径、体积或面积等效球形直径、实际或等效半径、投影或表面积或质量。对于微物理和辐射传递计算，通常需要从一种尺寸表示转换为另一种，特别是当比较或利用从各种源获得的分布参数时。此外，当质量与D B成比例时，其中B < 3，这对于雪和冰以及具有准分形结构的其他颗粒是典型的，.
AbstractThe four-parameter modified gamma distribution (MGD) is the most general mathematically convenient model for size distributions of particle types ranging from aerosols and cloud droplets or ice particles to liquid and frozen precipitation. The common three-parameter gamma distribution, the exponential distribution (e.g., Marshall–Palmer), and power-law distribution (e.g., Junge) are all special cases. Depending on the context, the particle “size” used in a given formulation may be the actual geometric diameter, the volume- or area-equivalent spherical diameter, the actual or equivalent radius, the projected or surface area, or the mass.For microphysical and radiative transfer calculations, it is often necessary to convert from one size representation to another, especially when comparing or utilizing distribution parameters obtained from a variety of sources. Furthermore, when the mass scales with Db, with b < 3, as is typical for snow and ice and other particles having a quasi-fractal structure, ...