### Abstract

An analysis of laminar magnetohydrodynamics (MHD) flow of an incompressible upper-convected Maxwell fluid past an infinite wall is carried out. A uniform magnetic field normal to the plate is applied. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversely varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. Series solutions of the differential equations for velocity field, skin friction and pressure are obtained by employing a perturbation technique. The results obtained for main flow velocity component and wall shear stresses in the main flow direction and perpendicular to it are discussed and analyzed through graphs and tables. It is found that velocity and wall shear stress components in the direction of main flow strongly depend on magnetic parameter whereas velocity and shear stress components transverse to the direction of main flow weekly dependent on magnetic parameter.

Original language | English |
---|---|

Pages (from-to) | 8274-8282 |

Number of pages | 9 |

Journal | Journal of Computational and Theoretical Nanoscience |

Volume | 13 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2016 |

### Fingerprint

### Keywords

- MHD three-dimensional flows
- Periodic suction
- Regular perturbation method
- Series solutions
- Viscoelastic fluid

### ASJC Scopus subject areas

- Chemistry(all)
- Materials Science(all)
- Condensed Matter Physics
- Computational Mathematics
- Electrical and Electronic Engineering

### Cite this

*Journal of Computational and Theoretical Nanoscience*,

*13*(11), 8274-8282. https://doi.org/10.1166/jctn.2016.5969

**Three-Dimensional magnetohydrodynamics flow of upper convected Maxwell fluid along an infinite plane wall with periodic suction.** / Shoaib, M.; Rana, M. A.; Siddiqui, A. M.; Darus, Maslina.

Research output: Contribution to journal › Article

*Journal of Computational and Theoretical Nanoscience*, vol. 13, no. 11, pp. 8274-8282. https://doi.org/10.1166/jctn.2016.5969

}

TY - JOUR

T1 - Three-Dimensional magnetohydrodynamics flow of upper convected Maxwell fluid along an infinite plane wall with periodic suction

AU - Shoaib, M.

AU - Rana, M. A.

AU - Siddiqui, A. M.

AU - Darus, Maslina

PY - 2016

Y1 - 2016

N2 - An analysis of laminar magnetohydrodynamics (MHD) flow of an incompressible upper-convected Maxwell fluid past an infinite wall is carried out. A uniform magnetic field normal to the plate is applied. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversely varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. Series solutions of the differential equations for velocity field, skin friction and pressure are obtained by employing a perturbation technique. The results obtained for main flow velocity component and wall shear stresses in the main flow direction and perpendicular to it are discussed and analyzed through graphs and tables. It is found that velocity and wall shear stress components in the direction of main flow strongly depend on magnetic parameter whereas velocity and shear stress components transverse to the direction of main flow weekly dependent on magnetic parameter.

AB - An analysis of laminar magnetohydrodynamics (MHD) flow of an incompressible upper-convected Maxwell fluid past an infinite wall is carried out. A uniform magnetic field normal to the plate is applied. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversely varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. Series solutions of the differential equations for velocity field, skin friction and pressure are obtained by employing a perturbation technique. The results obtained for main flow velocity component and wall shear stresses in the main flow direction and perpendicular to it are discussed and analyzed through graphs and tables. It is found that velocity and wall shear stress components in the direction of main flow strongly depend on magnetic parameter whereas velocity and shear stress components transverse to the direction of main flow weekly dependent on magnetic parameter.

KW - MHD three-dimensional flows

KW - Periodic suction

KW - Regular perturbation method

KW - Series solutions

KW - Viscoelastic fluid

UR - http://www.scopus.com/inward/record.url?scp=85015163146&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85015163146&partnerID=8YFLogxK

U2 - 10.1166/jctn.2016.5969

DO - 10.1166/jctn.2016.5969

M3 - Article

AN - SCOPUS:85015163146

VL - 13

SP - 8274

EP - 8282

JO - Journal of Computational and Theoretical Nanoscience

JF - Journal of Computational and Theoretical Nanoscience

SN - 1546-1955

IS - 11

ER -