Flows with free boundaries and hydrodynamic singularities

Author:

Karabut Evgenii A.ORCID,Zhuravleva Elena N.ORCID

Abstract

Plane unsteady potential flows of an ideal incompressible fluid with a free boundary are considered in the absence of external forces and surface tension. Examples of exact solutions in situations where the entire boundary of the domain occupied by the fluid is completely free are constructed. There may be polar singularities of the complex velocity function inside the fluid, which corresponds to the presence of a source or a sink there.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,Applied Mathematics

Reference16 articles.

1. Semi-analytical investigation of unsteady free-boundary flows;Karabut;Intl Ser. Numer. Math.,1991

2. Ovsiannikov, L.V. 1967 General equations and examples. In Problem of Unsteady Motion of the Fluid with a Free Boundary, Novosibirsk.

3. Singularity formation on a fluid interface during the Kelvin–Helmholtz instability development;Zubarev;J. Expl Theor. Phys.,2014

4. Application of transport equations for constructing exact solutions for the problem of motion of a fluid with a free boundary;Karabut;J. Fluid Mech.,2020

5. Unsteady flows with a zero acceleration on the free boundary;Karabut;J. Fluid Mech.,2014

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3