Two-dimensional solidification and melting in potential flows

Linda M. Cummings; Yuri E. Hohlov; Sam D. Howison; Konstantin Kornev

doi:10.1017/S0022112098003188

Two-dimensional solidification and melting in potential flows

Linda M. Cummings, Yuri E. Hohlov, Sam D. Howison, Konstantin Kornev

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

The problem of solidification or melting under the action of a forced hydrodynamic flow is considered. In the appropriate parameter régime, the problem admits a formulation in terms of analytic functions. It is shown that a crystal with a parabolic tip propagates without change of shape at a steady velocity. Some novel explicit solutions are presented.

Original language	English (US)
Pages (from-to)	1-18
Number of pages	18
Journal	Journal of Fluid Mechanics
Volume	378
DOIs	https://doi.org/10.1017/S0022112098003188
State	Published - Jan 10 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1017/S0022112098003188

Cite this

@article{c818555209f04885a9316f6f8133d879,

title = "Two-dimensional solidification and melting in potential flows",

abstract = "The problem of solidification or melting under the action of a forced hydrodynamic flow is considered. In the appropriate parameter r{\'e}gime, the problem admits a formulation in terms of analytic functions. It is shown that a crystal with a parabolic tip propagates without change of shape at a steady velocity. Some novel explicit solutions are presented.",

author = "Cummings, {Linda M.} and Hohlov, {Yuri E.} and Howison, {Sam D.} and Konstantin Kornev",

year = "1999",

month = jan,

day = "10",

doi = "10.1017/S0022112098003188",

language = "English (US)",

volume = "378",

pages = "1--18",

journal = "Journal of Fluid Mechanics",

issn = "0022-1120",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Two-dimensional solidification and melting in potential flows

AU - Cummings, Linda M.

AU - Hohlov, Yuri E.

AU - Howison, Sam D.

AU - Kornev, Konstantin

PY - 1999/1/10

Y1 - 1999/1/10

N2 - The problem of solidification or melting under the action of a forced hydrodynamic flow is considered. In the appropriate parameter régime, the problem admits a formulation in terms of analytic functions. It is shown that a crystal with a parabolic tip propagates without change of shape at a steady velocity. Some novel explicit solutions are presented.

AB - The problem of solidification or melting under the action of a forced hydrodynamic flow is considered. In the appropriate parameter régime, the problem admits a formulation in terms of analytic functions. It is shown that a crystal with a parabolic tip propagates without change of shape at a steady velocity. Some novel explicit solutions are presented.

UR - http://www.scopus.com/inward/record.url?scp=0032641671&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032641671&partnerID=8YFLogxK

U2 - 10.1017/S0022112098003188

DO - 10.1017/S0022112098003188

M3 - Article

AN - SCOPUS:0032641671

SN - 0022-1120

VL - 378

SP - 1

EP - 18

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Two-dimensional solidification and melting in potential flows

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this