Use of Mass- and Area-Dimensional Power Laws for Determining Precipitation Particle Terminal Velocities

作者: David L. Mitchell

DOI: 10.1175/1520-0469(1996)053<1710:UOMAAD>2.0.CO;2

关键词: Terminal velocitySurface roughnessClassical mechanicsPower lawDragFlow (psychology)Reynolds numberProjected areaMechanicsBoundary layer

摘要: Abstract Based on boundary layer theory and a comparison of empirical power laws relating the Reynolds Best numbers, it was apparent that primary variables governing hydrometeor's terminal velocity were its mass, area projected to flow, maximum dimension. The dependence velocities surface roughness appeared secondary, with apparently changing significantly only during phase changes (i.e., ice liquid). In theoretical analysis, new, comprehensive expression for drag force, which is valid both inertial viscous-dominated derived. A mass simply accurately represented in terms dimension by using dimensional laws. Hydrometeor calculated mass- area-dimensional parameterize number, X. Using relationship general all particle types, Re, then from Be...

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