TY - GEN

T1 - Semi-analytical investigation of unsteady free-boundary flows

AU - Karabut, E. A.

AU - Petrov, A. G.

AU - Zhuravleva, E. N.

PY - 2017/10/12

Y1 - 2017/10/12

N2 - A problem from the class of unsteady plane flows of an incompressible ideal fluid with a free boundary is considered. A conformal mapping of the exterior of a unit circle onto the region occupied by the fluid is sought. The solution is constructed in the form of power series with respect to time, which are analytically continued with the use of Padé approximants and a change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found.

AB - A problem from the class of unsteady plane flows of an incompressible ideal fluid with a free boundary is considered. A conformal mapping of the exterior of a unit circle onto the region occupied by the fluid is sought. The solution is constructed in the form of power series with respect to time, which are analytically continued with the use of Padé approximants and a change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found.

UR - http://www.scopus.com/inward/record.url?scp=85031664256&partnerID=8YFLogxK

U2 - 10.1063/1.5007423

DO - 10.1063/1.5007423

M3 - Conference contribution

AN - SCOPUS:85031664256

VL - 1895

T3 - AIP Conference Proceedings

BT - Application of Mathematics in Technical and Natural Sciences

A2 - Todorov, MD

PB - American Institute of Physics Inc.

T2 - 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017

Y2 - 21 June 2017 through 26 June 2017

ER -