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Self Similarity of Cross‐Stream Droplet Momentum Displacement in Dispersed Multiphase Flow
Author(s) -
Milanez Marko,
Naterer Greg F.,
Venn Geoff,
Richardson Giles
Publication year - 2003
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/ppsc.200390006
Subject(s) - mechanics , momentum (technical analysis) , scaling , similarity solution , similarity (geometry) , drag , displacement (psychology) , momentum diffusion , flow (mathematics) , eulerian path , diffusion , physics , classical mechanics , turbulence , thermodynamics , boundary layer , mathematics , geometry , lagrangian , psychology , finance , artificial intelligence , computer science , economics , image (mathematics) , psychotherapist , mathematical physics
Analytical methods are developed and applied to droplet motion, as it relates to aircraft icing. Impinging droplets largely affect the heat balance at an iced aircraft surface, as well as the final ice shape. In this study, a similarity solution of the Eulerian droplet momentum equation is developed. Droplet motion near a flat plate is investigated with a similarity solution. By using scaling, sensitivity, order of magnitude and similarity methods, a momentum displacement of droplets (or particles) due to the presence of the solid surface is predicted. Self similarity of the droplet profiles is established, such that downstream propagation can be expressed in terms of a single independent coordinate. Limiting trends of momentum/drag induced and Blasius‐diffusion profiles are found to identify the spatial range encompassing the droplet motion. The predicted results are successfully compared against the scaling requirements.