dc.contributor.author | Alexandrou, Andreas N. | en |
dc.contributor.author | Entov, V. M. | en |
dc.contributor.author | Kolganov, S. S. | en |
dc.contributor.author | Kolganova, N. V. | en |
dc.creator | Alexandrou, Andreas N. | en |
dc.creator | Entov, V. M. | en |
dc.creator | Kolganov, S. S. | en |
dc.creator | Kolganova, N. V. | en |
dc.date.accessioned | 2019-05-06T12:23:16Z | |
dc.date.available | 2019-05-06T12:23:16Z | |
dc.date.issued | 2004 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/48177 | |
dc.description.abstract | The problem of a bubble rising due to buoyancy in a Hele-Shaw cell filled with a viscous fluid is a classical free-boundary problem first posed and solved by Saffman & Taylor. In fact, due to linearity of the flow equations the problem is reduced to that of a bubble transported by uniform fluid flow. Saffman and Taylor provided explicit expressions for the bubble shape. Steady propagation of bubbles and fingers in a Hele-Shaw cell filled with a nonlinearly-viscous fluid was studied by Alexandrou & Entov. In Alexandrou & Entov, it was shown that for a nonlinearly viscous fluid the problem of a rising bubble cannot be reduced to that of a steadily transported bubble, and should be treated separately. This note presents a solution of the problem following the general framework suggested in Alexandrou & Entov. The hodograph transform is used in combination with finite-difference and collocation techniques to solve the problem. Results are presented for the cases of a Bingham and power-law fluids. | en |
dc.language.iso | eng | en |
dc.source | European Journal of Applied Mathematics | en |
dc.title | On bubble rising in a Hele-Shaw cell filled with a non-Newtonian fluid | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1017/S0956792504005509 | |
dc.description.volume | 15 | |
dc.description.startingpage | 315 | |
dc.description.endingpage | 327 | |
dc.author.faculty | Πολυτεχνική Σχολή / Faculty of Engineering | |
dc.author.department | Τμήμα Μηχανικών Μηχανολογίας και Κατασκευαστικής / Department of Mechanical and Manufacturing Engineering | |
dc.type.uhtype | Article | en |
dc.description.totalnumpages | 315-327 | |