THERMAL SCIENCE

International Scientific Journal

Feng-Hui Wang

,

Yu-Chuan Zhu

,

Zhan-Hong Wan

,

Zhen-Jiang You

EFFECT OF CIRCUMFERENTIAL WAVE NUMBER ON STABILITY OF SUSPENSION FLOW

ABSTRACT
The linear stability analysis is carried out for the suspension flow of spherical particles between a rotating inner cylinder and a stationary concentric outer cylinder. The mass conservation equation and Navier-Stokes equation are applied to the continuous fluid phase and the particle phase. Results of stability analysis show that the increase of wave number in the circumferential direction attenuates the effect of the axial wave number on the amplification factor. The ratio of particle density to fluid density increasing above 0.1 amplifies the flow instability, while it can be weakened with higher circumferential direction wave number. Effect of the critical Taylor number on the amplification factor is reduced by increasing the circumferential direction wave number. The flow stability is affected by the geometry of flow field (the radius ratio) at non-zero circumferential direction wave numbers.
KEYWORDS
particle suspension, amplification factor, wave number, circumferential direction, axial direction
PAPER SUBMITTED: 2014-04-13
PAPER REVISED: 2014-05-08
PAPER ACCEPTED: 2014-07-12
PUBLISHED ONLINE: 2015-01-04
DOI REFERENCE: https://doi.org/10.2298/TSCI1405517W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 5, PAGES [1517 - 1523]
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Effect of circumferential wave number on stability of suspension flow

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