The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON FLUID MECHANICS
Transactions ID Number: 53-569
Full Name: Ivan Kazachkov
Position: Professor
Age: ON
Sex: Male
Address: Brinellvagen 68, 10044, Stockholm
Country: SWEDEN
Tel: 073-6860838
Tel prefix: +46
Fax:
E-mail address: Ivan.Kazachkov@energy.kth.se
Other E-mails: kazachkov@ukr.net
Title of the Paper: The mathematical models for penetration of a liquid jets into a pool
Authors as they appear in the Paper: Ivan V. Kazachkov
Email addresses of all the authors:
Number of paper pages: 21
Abstract: The peculiarities of a jet penetrating the liquid pool of different density were examined by means of the non-linear and linear mathematical models derived including bending instability. Based on experimental observations reported in the literature for a number of situations, the penetration behaviour was assumed to govern the buoyancy-dominated regime. A new analytical solution of the one-dimensional non-linear model was obtained for the jet penetration in this condition, as function of Froude number, jet/ambient fluid density ratio and other parameters. The solution was analysed for a number of limit cases. Analytical solution of the non-linear second-order equation obtained can be of interest for other researchers as the mathematical result.
Keywords: Jet, Penetration, Pool of Liquid, Non-linear, Analytical Solution, Bifurcation, Bending
EXTENSION of the file: .pdf
Special (Invited) Session: Mathematical Fluid Dynamics
Organizer of the Session:
How Did you learn about congress: Linear bending perturbation of the thin jet, thick jet penetration into a pool, analytical solution of the non-linear PDE
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