### Abstract

An exact solution of an oscillatory boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and the other at rest, is developed. The fluid and the plates are in a state of solid body rotation with constant angular velocity about the z-axis normal to the plates. The fluid is assumed to be second grade, incompressible, and electrically conducting. A uniform transverse magnetic field is applied. During the mathematical analysis, it is found that the steady part of the solution is identical to that of viscous fluid. The structure of the boundary layers is also discussed. Several known results of interest are found to follow as particular cases of the solution of the problem considered.

Original language | English (US) |
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Pages (from-to) | 609-614 |

Number of pages | 6 |

Journal | Applied Mathematics Letters |

Volume | 17 |

Issue number | 5 |

DOIs | |

State | Published - May 2004 |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics

### Cite this

*Applied Mathematics Letters*,

*17*(5), 609-614. https://doi.org/10.1016/S0893-9659(04)90134-6

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*Applied Mathematics Letters*, vol. 17, no. 5, pp. 609-614. https://doi.org/10.1016/S0893-9659(04)90134-6

**An oscillating hydromagnetic non-newtonian flow in a rotating system.** / Hayat, T.; Nadeem, S.; Siddiqui, A. M.; Asghar, S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - An oscillating hydromagnetic non-newtonian flow in a rotating system

AU - Hayat, T.

AU - Nadeem, S.

AU - Siddiqui, A. M.

AU - Asghar, S.

PY - 2004/5

Y1 - 2004/5

N2 - An exact solution of an oscillatory boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and the other at rest, is developed. The fluid and the plates are in a state of solid body rotation with constant angular velocity about the z-axis normal to the plates. The fluid is assumed to be second grade, incompressible, and electrically conducting. A uniform transverse magnetic field is applied. During the mathematical analysis, it is found that the steady part of the solution is identical to that of viscous fluid. The structure of the boundary layers is also discussed. Several known results of interest are found to follow as particular cases of the solution of the problem considered.

AB - An exact solution of an oscillatory boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and the other at rest, is developed. The fluid and the plates are in a state of solid body rotation with constant angular velocity about the z-axis normal to the plates. The fluid is assumed to be second grade, incompressible, and electrically conducting. A uniform transverse magnetic field is applied. During the mathematical analysis, it is found that the steady part of the solution is identical to that of viscous fluid. The structure of the boundary layers is also discussed. Several known results of interest are found to follow as particular cases of the solution of the problem considered.

UR - http://www.scopus.com/inward/record.url?scp=2442711310&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2442711310&partnerID=8YFLogxK

U2 - 10.1016/S0893-9659(04)90134-6

DO - 10.1016/S0893-9659(04)90134-6

M3 - Article

AN - SCOPUS:2442711310

VL - 17

SP - 609

EP - 614

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 5

ER -