Numerical solution of oscillatory flow of Maxwell fluid in a rectangular straight duct

doi:10.1007/s10483-019-2535-6

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (11): 1647-1656.doi: https://doi.org/10.1007/s10483-019-2535-6

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Numerical solution of oscillatory flow of Maxwell fluid in a rectangular straight duct

Xuyang SUN, Shaowei WANG, Moli ZHAO, Qiangyong ZHANG

Department of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan 250061, China

Received:2019-01-19 Revised:2019-05-23 Online:2019-11-01 Published:2019-10-28
Contact: Shaowei WANG E-mail:shaoweiwang@sdu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11672164 and 41831278) and the Taishan Scholars Project Foundation of Shandong Province of China

Abstract

Abstract: A numerical analysis is presented for the oscillatory flow of Maxwell fluid in a rectangular straight duct subjected to a simple harmonic periodic pressure gradient. The numerical solutions are obtained by a finite difference scheme method. The stability of this finite difference scheme method is discussed. The distributions of the velocity and phase difference are given numerically and graphically. The effects of the Reynolds number, relaxation time, and aspect ratio of the cross section on the oscillatory flow are investigated. The results show that when the relaxation time of the Maxwell model and the Reynolds number increase, the resonance phenomena for the distributions of the velocity and phase difference enhance.

Key words: Maxwell fluid, oscillatory flow, finite difference method, rectangular duct

2010 MSC Number:

76A05
76M20

Xuyang SUN, Shaowei WANG, Moli ZHAO, Qiangyong ZHANG. Numerical solution of oscillatory flow of Maxwell fluid in a rectangular straight duct. Applied Mathematics and Mechanics (English Edition), 2019, 40(11): 1647-1656.

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Numerical solution of oscillatory flow of Maxwell fluid in a rectangular straight duct

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