The paper presents a linear stability analysis of the temperature-dependent boundary-layer flow over a rotating disk. Gas- and liquid-type responses of the viscosity to temperature are considered, and the disk rotates in both a quiescent and an incident axial flow. Temperature-dependent-viscosity flows are typically found to be less stable than the temperature independent cases, with temperature dependences that produce high wall viscosities yielding the least stable flows. Conversely, increasing the incident axial flow strength produces greater flow stability. Transitional Reynolds numbers for these flows are then approximated through an eN-type analysis and are found to vary in approximate concordance with the critical Reynolds number. Examination of the component energy contributions shows that flow stability is affected exclusively through changes to the mean flow. The results are discussed in the context of chemical vapor deposition reactors.
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February 2020
Research Article|
February 04 2020
On the stability of a heated rotating-disk boundary layer in a temperature-dependent viscosity fluid
R. Miller;
R. Miller
1
School of Engineering, University of Leicester
, Leicester LE1 7RH, United Kingdom
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P. T. Griffiths;
P. T. Griffiths
2
Centre for Fluid and Complex Systems, Coventry University
, Coventry CV1 5FB, United Kingdom
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Z. Hussain
;
Z. Hussain
3
Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan University
, Manchester M1 5GD, United Kingdom
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S. J. Garrett
S. J. Garrett
a)
4
School of Mathematics and Actuarial Science, University of Leicester
, Leicester LE1 7RH, United Kingdom
a)Author to whom correspondence should be addressed: sjg50@leicester.ac.uk
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a)Author to whom correspondence should be addressed: sjg50@leicester.ac.uk
Physics of Fluids 32, 024105 (2020)
Article history
Received:
September 27 2019
Accepted:
January 16 2020
Citation
R. Miller, P. T. Griffiths, Z. Hussain, S. J. Garrett; On the stability of a heated rotating-disk boundary layer in a temperature-dependent viscosity fluid. Physics of Fluids 1 February 2020; 32 (2): 024105. https://doi.org/10.1063/1.5129220
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