KINETIC-THEORY FOR BUBBLY FLOW .2. FLUID DYNAMIC LIMIT

Authors
Citation
G. Russo et P. Smereka, KINETIC-THEORY FOR BUBBLY FLOW .2. FLUID DYNAMIC LIMIT, SIAM journal on applied mathematics, 56(2), 1996, pp. 358-371
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00361399
Volume
56
Issue
2
Year of publication
1996
Pages
358 - 371
Database
ISI
SICI code
0036-1399(1996)56:2<358:KFBF.F>2.0.ZU;2-T
Abstract
A Vlasov equation for bubbly flow is modified to account for local int eractions between bubbles. Fluid equations are deduced in the limit wh ere local interactions cause the system to become locally Maxwellian. The resulting fluid equations are well posed for sufficiently large te mperature. We compute void wave speeds that are found to be in agreeme nt with experiments. In the limit when the temperature is zero, we rec over fluid equations previously derived by other investigators. In thi s limit there are solutions of the equations that blow up in finite ti me.