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Magnetohydrodynamic flow due to noncoaxial rotations of a porous disk and a fourth-grade fluid at infinity

Hayat, Tasawar ; Wang, Yongqi (2003)
Magnetohydrodynamic flow due to noncoaxial rotations of a porous disk and a fourth-grade fluid at infinity.
In: Mathematical Problems in Engineering, 2003 (2)
doi: 10.1155/S1024123X03308026
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

The governing equations for the unsteady flow of a uniformly conducting incompressible fourth-grade fluid due to noncoaxial rotations of a porous disk and the fluid at infinity are constructed. The steady flow of the fourth-grade fluid subjected to a magnetic field with suction/blowing through the disk is studied. The nonlinear ordinary differential equations resulting from the balance of momentum and mass are discretised by a finite-difference method and numerically solved by means of an iteration method in which, by a coordinate transformation, the semi-infinite physical domain is converted to a finite calculation domain. In order to solve the fourth-order nonlinear differential equations, asymptotic boundary conditions at infinity are augmented. The manner in which various material parameters affect the structure of the boundary layer is delineated. It is found that the suction through the disk and the magnetic field tend to thin the boundary layer near the disk for both the Newtonian fluid and the fourth-grade fluid, while the blowing causes a thickening of the boundary layer with the exception of the fourth-grade fluid under strong blowing. With the increase of the higher-order viscosities, the boundary layer has the tendency of thickening.

Typ des Eintrags: Artikel
Erschienen: 2003
Autor(en): Hayat, Tasawar ; Wang, Yongqi
Art des Eintrags: Bibliographie
Titel: Magnetohydrodynamic flow due to noncoaxial rotations of a porous disk and a fourth-grade fluid at infinity
Sprache: Englisch
Publikationsjahr: 1 Januar 2003
Verlag: Hindawi Publishing Corporation
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Mathematical Problems in Engineering
Jahrgang/Volume einer Zeitschrift: 2003
(Heft-)Nummer: 2
DOI: 10.1155/S1024123X03308026
URL / URN: https://doi.org/10.1155/S1024123X03308026
Kurzbeschreibung (Abstract):

The governing equations for the unsteady flow of a uniformly conducting incompressible fourth-grade fluid due to noncoaxial rotations of a porous disk and the fluid at infinity are constructed. The steady flow of the fourth-grade fluid subjected to a magnetic field with suction/blowing through the disk is studied. The nonlinear ordinary differential equations resulting from the balance of momentum and mass are discretised by a finite-difference method and numerically solved by means of an iteration method in which, by a coordinate transformation, the semi-infinite physical domain is converted to a finite calculation domain. In order to solve the fourth-order nonlinear differential equations, asymptotic boundary conditions at infinity are augmented. The manner in which various material parameters affect the structure of the boundary layer is delineated. It is found that the suction through the disk and the magnetic field tend to thin the boundary layer near the disk for both the Newtonian fluid and the fourth-grade fluid, while the blowing causes a thickening of the boundary layer with the exception of the fourth-grade fluid under strong blowing. With the increase of the higher-order viscosities, the boundary layer has the tendency of thickening.

Zusätzliche Informationen:

doi:10.1155/S1024123X03308026

Fachbereich(e)/-gebiet(e): Studienbereiche
16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy)
Studienbereiche > Studienbereich Mechanik
Hinterlegungsdatum: 05 Dez 2017 14:46
Letzte Änderung: 20 Feb 2019 14:47
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