### Abstract

The laminar flow of an incompressible upper-convectedMaxwell fluid past an infinite wall is modelled and analyzed analytically. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversally varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. A perturbation technique is employed to obtain approximate solutions of the differential equations for velocity field, skin friction and pressure. 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. It is found that wall shear stress components in the direction of main flow and transverse to the direction of main flow strongly depend on suction parameter and the Deborah number.

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

Pages (from-to) | 5247-5253 |

Number of pages | 7 |

Journal | Journal of Computational and Theoretical Nanoscience |

Volume | 13 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1 Aug 2016 |

Externally published | Yes |

### Fingerprint

### Keywords

- Periodic suction
- Regular perturbation method
- Series solution
- Three-dimensional flows
- Upper-convected maxwell 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*(8), 5247-5253. https://doi.org/10.1166/jctn.2016.5409

**Three dimensional 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. 8, pp. 5247-5253. https://doi.org/10.1166/jctn.2016.5409

}

TY - JOUR

T1 - Three dimensional 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 - 2016/8/1

Y1 - 2016/8/1

N2 - The laminar flow of an incompressible upper-convectedMaxwell fluid past an infinite wall is modelled and analyzed analytically. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversally varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. A perturbation technique is employed to obtain approximate solutions of the differential equations for velocity field, skin friction and pressure. 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. It is found that wall shear stress components in the direction of main flow and transverse to the direction of main flow strongly depend on suction parameter and the Deborah number.

AB - The laminar flow of an incompressible upper-convectedMaxwell fluid past an infinite wall is modelled and analyzed analytically. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversally varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. A perturbation technique is employed to obtain approximate solutions of the differential equations for velocity field, skin friction and pressure. 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. It is found that wall shear stress components in the direction of main flow and transverse to the direction of main flow strongly depend on suction parameter and the Deborah number.

KW - Periodic suction

KW - Regular perturbation method

KW - Series solution

KW - Three-dimensional flows

KW - Upper-convected maxwell fluid

UR - http://www.scopus.com/inward/record.url?scp=84995530846&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995530846&partnerID=8YFLogxK

U2 - 10.1166/jctn.2016.5409

DO - 10.1166/jctn.2016.5409

M3 - Article

AN - SCOPUS:84995530846

VL - 13

SP - 5247

EP - 5253

JO - Journal of Computational and Theoretical Nanoscience

JF - Journal of Computational and Theoretical Nanoscience

SN - 1546-1955

IS - 8

ER -