### Abstract

This work is to examine theoretically unsteady flow of viscoelastic fluid in a circular cylinder and to investigate the existence of steady solutions. We consider the flow is solely due to pressure gradient in following three forms: (i) sinusoidal; (ii) square; (iii) constant. Based on the pressure gradient described, three flow situations are solved and the exact analytical solutions are given in terms of Bessel functions. In all the three problems, it is found that the variation of the unsteady and steady solution mainly depends for small time, while for large time the two solutions are identical.

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

Title of host publication | ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 10-13 |

Number of pages | 4 |

ISBN (Print) | 9781467375061 |

DOIs | |

Publication status | Published - 14 Dec 2015 |

Event | 7th International Conference on Research and Education in Mathematics, ICREM7 2015 - Kuala Lumpur, Malaysia Duration: 25 Aug 2015 → 27 Aug 2015 |

### Other

Other | 7th International Conference on Research and Education in Mathematics, ICREM7 2015 |
---|---|

Country | Malaysia |

City | Kuala Lumpur |

Period | 25/8/15 → 27/8/15 |

### Fingerprint

### ASJC Scopus subject areas

- Education
- Mechanical Engineering
- Electrical and Electronic Engineering

### Cite this

*ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education*(pp. 10-13). [7357017] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICREM.2015.7357017

**Existence of steady solution from unsteady flow of viscoelastic fluid due to different pressure waveform in a circular cylinder.** / Abdulhameed, Mohammed; Roslan, Rozaini; Hashim, Ishak.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education.*, 7357017, Institute of Electrical and Electronics Engineers Inc., pp. 10-13, 7th International Conference on Research and Education in Mathematics, ICREM7 2015, Kuala Lumpur, Malaysia, 25/8/15. https://doi.org/10.1109/ICREM.2015.7357017

}

TY - GEN

T1 - Existence of steady solution from unsteady flow of viscoelastic fluid due to different pressure waveform in a circular cylinder

AU - Abdulhameed, Mohammed

AU - Roslan, Rozaini

AU - Hashim, Ishak

PY - 2015/12/14

Y1 - 2015/12/14

N2 - This work is to examine theoretically unsteady flow of viscoelastic fluid in a circular cylinder and to investigate the existence of steady solutions. We consider the flow is solely due to pressure gradient in following three forms: (i) sinusoidal; (ii) square; (iii) constant. Based on the pressure gradient described, three flow situations are solved and the exact analytical solutions are given in terms of Bessel functions. In all the three problems, it is found that the variation of the unsteady and steady solution mainly depends for small time, while for large time the two solutions are identical.

AB - This work is to examine theoretically unsteady flow of viscoelastic fluid in a circular cylinder and to investigate the existence of steady solutions. We consider the flow is solely due to pressure gradient in following three forms: (i) sinusoidal; (ii) square; (iii) constant. Based on the pressure gradient described, three flow situations are solved and the exact analytical solutions are given in terms of Bessel functions. In all the three problems, it is found that the variation of the unsteady and steady solution mainly depends for small time, while for large time the two solutions are identical.

UR - http://www.scopus.com/inward/record.url?scp=84964626157&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964626157&partnerID=8YFLogxK

U2 - 10.1109/ICREM.2015.7357017

DO - 10.1109/ICREM.2015.7357017

M3 - Conference contribution

AN - SCOPUS:84964626157

SN - 9781467375061

SP - 10

EP - 13

BT - ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education

PB - Institute of Electrical and Electronics Engineers Inc.

ER -