- Tytuł:
- The two-phase Hell-Shaw flow: construction of an exact solution
- Autorzy:
- Malaikah, K. R.
- Powiązania:
- https://bibliotekanauki.pl/articles/265877.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
falka Laplace'a
twierdzenie Schwarza
Laplace growth
Hele-Shaw cell
Schwarz function
free boundary problem - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 249-257
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki