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Computing Virtual Mass by Direct Numerical Simulation
Author(s) -
Niemann J.,
Laurien E.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811556
Subject(s) - mechanics , bubble , dependency (uml) , void (composites) , high resolution , computer simulation , volume fraction , mass fraction , quadratic equation , computer science , materials science , physics , mathematics , thermodynamics , geometry , geology , composite material , remote sensing , software engineering
Bubbles resist acceleration with an apparent added mass. An improved knowledge of this virtual mass is desirable for accurate models of bubbly flows, for instance, in a two‐fluid‐model. A high‐resolution, two‐phase numerical code based on a volume‐of‐fluid method is used to compute the virtual mass of air and vapour bubbles in water. The dependency of virtual mass from void fraction is investigated. A well known analytically obtained equation of this dependency is confirmed and the hitherto undetermined quadratic term, which is of importance for medium and high void fractions, is established. A dependency on bubble size and shape is investigated.