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
N1 - Publisher Copyright:
© 2015 IEEE.
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 - https://www.scopus.com/pages/publications/84964626157
U2 - 10.1109/ICREM.2015.7357017
DO - 10.1109/ICREM.2015.7357017
M3 - Conference contribution
AN - SCOPUS:84964626157
T3 - ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education
SP - 10
EP - 13
BT - ICREM7 2015 - Proceedings of the 7th International Conference on Research and Education in Mathematics
A2 - Gopal, Kathiresan
A2 - See, Phang Pei
A2 - Majid, Zanariah Abdul
A2 - Laham, Mohamed Faris
A2 - Salim, Nur Raidah
A2 - Mahad, Zahari
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 7th International Conference on Research and Education in Mathematics, ICREM7 2015
Y2 - 25 August 2015 through 27 August 2015
ER -