### Abstract

Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. It is shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency n = 2ω is automatically resolved in the present hydromagnetic analysis.

Original language | English (US) |
---|---|

Pages (from-to) | 987-995 |

Number of pages | 9 |

Journal | Mathematical and Computer Modelling |

Volume | 36 |

Issue number | 9-10 |

DOIs | |

State | Published - Nov 29 2002 |

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### All Science Journal Classification (ASJC) codes

- Modeling and Simulation
- Computer Science Applications

### Cite this

*Mathematical and Computer Modelling*,

*36*(9-10), 987-995. https://doi.org/10.1016/S0895-7177(02)00252-2

}

*Mathematical and Computer Modelling*, vol. 36, no. 9-10, pp. 987-995. https://doi.org/10.1016/S0895-7177(02)00252-2

**MHD flows of an Oldroyd-B fluid.** / Hayat, T.; Hutter, K.; Asghar, S.; Siddiqui, Abdul M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - MHD flows of an Oldroyd-B fluid

AU - Hayat, T.

AU - Hutter, K.

AU - Asghar, S.

AU - Siddiqui, Abdul M.

PY - 2002/11/29

Y1 - 2002/11/29

N2 - Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. It is shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency n = 2ω is automatically resolved in the present hydromagnetic analysis.

AB - Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow in an Oldroyd-B fluid is identical to that of the viscous fluid. It is shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency n = 2ω is automatically resolved in the present hydromagnetic analysis.

UR - http://www.scopus.com/inward/record.url?scp=0037195891&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037195891&partnerID=8YFLogxK

U2 - 10.1016/S0895-7177(02)00252-2

DO - 10.1016/S0895-7177(02)00252-2

M3 - Article

AN - SCOPUS:0037195891

VL - 36

SP - 987

EP - 995

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - 9-10

ER -