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Analytical and numerical solutions of oscillating flow at a trapezoidal pressurewaveform

Abdulhameed, M. and Roslan, R. and Vieru, D. and Shafie, Sharidan (2017) Analytical and numerical solutions of oscillating flow at a trapezoidal pressurewaveform. Computational Mathematics and Modeling, 28 (2). pp. 195-207. ISSN 1046283X

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This study aimed to develop a mathematical model of an unsteady Burgers’ fluid in a circular cylinder with a trapezoidal pressure waveform described by an infinite Fourier series. An analytical solution was obtained for the governing equation using the Bessel transform method together with similarity arguments. The validity of the solution was verified using a numerical inversion method based on Stehfest’s method. Limiting cases were considered to examine the fluid flow performance of different fluids. Our results show that the Newtonian and Oldroyd-B fluids performed similar velocity time variation for the trapezoidal waveform of oscillating motion, whereas the velocity time variation was different for Maxwell and Burger’s fluids. Moreover, it is evident that the material constant of a Burgers’ fluid is another important factor that affects flow performance in an oscillating flow.

Item Type: Article
Uncontrolled Keywords: Trapezoidal waveform; oscillating motion; Bessel transform; Stehfest’s method
Subjects: Q Science > QC Physics
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 13 Aug 2018 03:15
Last Modified: 13 Aug 2018 03:15
URI: http://eprints.uthm.edu.my/id/eprint/9535
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