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

Mohammed Abdulhameed, Rozaini Roslan, Ishak Hashim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages10-13
Number of pages4
ISBN (Print)9781467375061
DOIs
Publication statusPublished - 14 Dec 2015
Event7th International Conference on Research and Education in Mathematics, ICREM7 2015 - Kuala Lumpur, Malaysia
Duration: 25 Aug 201527 Aug 2015

Other

Other7th International Conference on Research and Education in Mathematics, ICREM7 2015
CountryMalaysia
CityKuala Lumpur
Period25/8/1527/8/15

Fingerprint

Unsteady flow
Circular cylinders
Pressure gradient
Flow of fluids
Bessel functions
time

ASJC Scopus subject areas

  • Education
  • Mechanical Engineering
  • Electrical and Electronic Engineering

Cite this

Abdulhameed, M., Roslan, R., & Hashim, I. (2015). Existence of steady solution from unsteady flow of viscoelastic fluid due to different pressure waveform in a circular cylinder. In 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.

ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education. Institute of Electrical and Electronics Engineers Inc., 2015. p. 10-13 7357017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abdulhameed, M, Roslan, R & Hashim, I 2015, Existence of steady solution from unsteady flow of viscoelastic fluid due to different pressure waveform in a circular cylinder. in 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
Abdulhameed M, Roslan R, Hashim I. Existence of steady solution from unsteady flow of viscoelastic fluid due to different pressure waveform in a circular cylinder. In ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education. Institute of Electrical and Electronics Engineers Inc. 2015. p. 10-13. 7357017 https://doi.org/10.1109/ICREM.2015.7357017
Abdulhameed, Mohammed ; Roslan, Rozaini ; Hashim, Ishak. / Existence of steady solution from unsteady flow of viscoelastic fluid due to different pressure waveform in a circular cylinder. ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 10-13
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