Wang, Yongqi ; Hayat, T. ; Hutter, K. (2005)
On non-linear magnetohydrodynamic problems of an Oldroyd 6-constant fluid.
In: International Journal of Non-Linear Mechanics, 40 (1)
doi: 10.1016/j.ijnonlinmec.2004.05.010
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In this work we develop a mathematical model to predict the velocity profile for an unidirectional, incompressible and steady flow of an Oldroyd 6-constant fluid. The fluid is electrically conducting by a transverse magnetic field. The developed governing equation is non-linear. This equation is solved analytically to obtain the general solution. The governing non-linear equation is also solved numerically subject to appropriate boundary conditions (three cases of typical plane shearing flows) by an iterative technique with the finite-difference discretizations. A parametric study of the physical parameters involved in the problems such as the applied magnetic field and the material constants is conducted. The obtained results are illustrated graphically to show salient features of the solutions. Numerical results show that the applied magnetic field tends to reduce the flow velocity. Depending on the choice of the material parameters, the fluid exhibits shear-thickening or shear-thinning behaviours.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2005 |
| Autor(en): | Wang, Yongqi ; Hayat, T. ; Hutter, K. |
| Art des Eintrags: | Bibliographie |
| Titel: | On non-linear magnetohydrodynamic problems of an Oldroyd 6-constant fluid |
| Sprache: | Englisch |
| Publikationsjahr: | 2005 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal of Non-Linear Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 40 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1016/j.ijnonlinmec.2004.05.010 |
| URL / URN: | https://doi.org/10.1016/j.ijnonlinmec.2004.05.010 |
| Kurzbeschreibung (Abstract): | In this work we develop a mathematical model to predict the velocity profile for an unidirectional, incompressible and steady flow of an Oldroyd 6-constant fluid. The fluid is electrically conducting by a transverse magnetic field. The developed governing equation is non-linear. This equation is solved analytically to obtain the general solution. The governing non-linear equation is also solved numerically subject to appropriate boundary conditions (three cases of typical plane shearing flows) by an iterative technique with the finite-difference discretizations. A parametric study of the physical parameters involved in the problems such as the applied magnetic field and the material constants is conducted. The obtained results are illustrated graphically to show salient features of the solutions. Numerical results show that the applied magnetic field tends to reduce the flow velocity. Depending on the choice of the material parameters, the fluid exhibits shear-thickening or shear-thinning behaviours. |
| Freie Schlagworte: | Oldroyd 6-constant fluid; Magnetohydrodynamic; Non-Newtonian fluid; Shearing flow |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) |
| Hinterlegungsdatum: | 05 Dez 2017 15:07 |
| Letzte Änderung: | 20 Feb 2019 14:56 |
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