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

• Autorzy: Malaikah K. R.

Identyfikatory

DOI

10.2478/ijame-2013-0016

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

PL

falka Laplace'a; twierdzenie Schwarza

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2013
• Tom: Vol. 18, no. 1
• Strony: 249--257
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Malaikah K. R.

• Department of Mathematics, Ohio University Athens, OH 45701, USA

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