Wang, Yongqi ; Wu, Wei (2007)
Unsteady flow of a fourth-grade fluid due to an oscillating plate.
In: International Journal of Non-Linear Mechanics, 42 (3)
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The governing non-linear high-order, sixth-order in space and third-order in time, differential equation is constructed for the unsteady flow of an incompressible conducting fourth-grade fluid in a semi-infinite domain. The unsteady flow is induced by a periodically oscillating two-dimensional infinite porous plate with suction/blowing, located in a uniform magnetic field. It is shown that by augmenting additional boundary conditions at infinity based on asymptotic structures and transforming the semi-infinite physical space to a bounded computational domain by means of a coordinate transformation, it is possible to obtain numerical solutions of the non-linear magnetohydrodynamic equation. In particular, due to the unsymmetry of the boundary conditions, in numerical simulations non- central difference schemes are constructed and employed to approximate the emerging higher-order spatial derivatives. Effects of material parameters, uniform suction or blowing past the porous plate, exerted magnetic field and oscillation frequency of the plate on the time-dependent flow, especially on the boundary layer structure near the plate, are numerically analysed and discussed. The flow behaviour of the fourth-grade non-Newtonian fluid is also compared with those of the Newtonian fluid.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2007 |
| Autor(en): | Wang, Yongqi ; Wu, Wei |
| Art des Eintrags: | Bibliographie |
| Titel: | Unsteady flow of a fourth-grade fluid due to an oscillating plate |
| Sprache: | Englisch |
| Publikationsjahr: | 2007 |
| Verlag: | Elsevier Science |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal of Non-Linear Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 42 |
| (Heft-)Nummer: | 3 |
| URL / URN: | http://www.sciencedirect.com/science/article/pii/S0020746207... |
| Kurzbeschreibung (Abstract): | The governing non-linear high-order, sixth-order in space and third-order in time, differential equation is constructed for the unsteady flow of an incompressible conducting fourth-grade fluid in a semi-infinite domain. The unsteady flow is induced by a periodically oscillating two-dimensional infinite porous plate with suction/blowing, located in a uniform magnetic field. It is shown that by augmenting additional boundary conditions at infinity based on asymptotic structures and transforming the semi-infinite physical space to a bounded computational domain by means of a coordinate transformation, it is possible to obtain numerical solutions of the non-linear magnetohydrodynamic equation. In particular, due to the unsymmetry of the boundary conditions, in numerical simulations non- central difference schemes are constructed and employed to approximate the emerging higher-order spatial derivatives. Effects of material parameters, uniform suction or blowing past the porous plate, exerted magnetic field and oscillation frequency of the plate on the time-dependent flow, especially on the boundary layer structure near the plate, are numerically analysed and discussed. The flow behaviour of the fourth-grade non-Newtonian fluid is also compared with those of the Newtonian fluid. |
| Freie Schlagworte: | Fourth-grade fluid; Non-Newtonian fluid; Magnetohydrodynamic fluid; Time-dependent flow |
| Zusätzliche Informationen: | doi:10.1016/j.ijnonlinmec.2007.01.003 |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) 16 Fachbereich Maschinenbau |
| Hinterlegungsdatum: | 24 Aug 2011 17:59 |
| Letzte Änderung: | 17 Feb 2014 08:45 |
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