Oscillating Flow in Annular Microchannels With Sinusoidally Corrugated Walls

CHANG Long; LIU Quan-sheng; JIAN Yong-jun; Burenmandula; SUN Yan-jun

doi:10.21656/1000-0887.370116

Volume 37 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2016 > 37(10): 1118-1128

CHANG Long, LIU Quan-sheng, JIAN Yong-jun, Burenmandula, SUN Yan-jun. Oscillating Flow in Annular Microchannels With Sinusoidally Corrugated Walls[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1118-1128. doi: 10.21656/1000-0887.370116

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Oscillating Flow in Annular Microchannels With Sinusoidally Corrugated Walls

doi: 10.21656/1000-0887.370116

¹School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China;²School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010071, P.R.China;³School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, P.R.China;

Funds: The National Natural Science Foundation of China(11562014;11472140)

Received Date: 2016-04-14
Rev Recd Date: 2016-05-25
Publish Date: 2016-10-15

Abstract

Abstract

Oscillating flow in annular microchannels with sinusoidal wall roughness was investigated. The oscillating flow of incompressible viscous fluid was driven by a time-periodically oscillating pressure gradient. Approximate solutions of the velocity and flow rate in the annular microchannel were obtained through computation of the momentum conservation equations in the cylindrical coordinate system with the perturbation method. Based on these approximate solutions, the effects of the relevant nondimensional parameters, such as Reynolds number Re, pressure gradient amplitude A, sinusoidal roughness amplitude ε, ratio of the inner radius to the outer radius α, phase difference β and wave number λ, on velocity u and flow rate Φ_m, were analyzed. The results show that the velocity increases with A and decreases with Re, and phase lag χ increases with Re.
- pressure gradient oscillation,
- perturbation method,
- sinusoidally corrugated wall,
- annular microchannel

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References(29)

References

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