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A General Formulation for Raindrop Size Distribution

Daniel Sempere TorresDepartament d'Enginyeria Hidràulica, Marítima i Ambiental, Universitat Politècnica de Catalunya, Barcelona, Spain

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Josep M. PorràDepartament Física Fonamental, Universitat de Barcelona, Barcelona, Spain

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Jean-Dominique CreutinLTHE (Université J. Fourier, INPG, CNRS), Grenoble, France

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Abstract

A general phenomenological formulation for drop size distribution (DSD), written down as a scaling law, is proposed. It accounts for all previous fitted DSDs. As a main implication of the expression proposed, the integral rainfall variables are related by power functions and agree with experimental evidence. Additional consequences are also analyzed. From this formulation there follows a general methodology for scaling all data in a unique plot, leading to more robust fits of the DSD. An illustrative example on real data is provided.

Abstract

A general phenomenological formulation for drop size distribution (DSD), written down as a scaling law, is proposed. It accounts for all previous fitted DSDs. As a main implication of the expression proposed, the integral rainfall variables are related by power functions and agree with experimental evidence. Additional consequences are also analyzed. From this formulation there follows a general methodology for scaling all data in a unique plot, leading to more robust fits of the DSD. An illustrative example on real data is provided.

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