Creator:

Malaikah, K.R.

Contributor:

Jurczak, Paweł - red.

Title:

The two-phase Hell-Shaw flow: construction of an exact solution

Group publication title:

IJAME, volume 18 (2013)

Subject and Keywords:

Laplace growth ; Hele-Shaw cell ; Schwarz function ; free boundary problem

Abstract:

We consider a two-phase Hele-Shaw cell whether or not the gap thickness is time-dependent. We construct an exact solution in terms of the Schwarz function of the interface for the two-phase Hele-Shaw flow. The derivation is based upon the single-valued complex velocity potential instead of the multiple-valued complex potential. As a result, the construction is applicable to the case of the time-dependent gap. In addition, there is no need to introduce branch cuts in the computational domain. Furthermore, the interface evolution in a two-phase problem is closely linked to its counterpart in a one-phase problem.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2013

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.2478/ijame-2013-0016

Pages:

249-257

Source:

IJAME, volume 18, number 1 (2013)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego