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Instability of Spiral Viscous Flow in Annulus with Rotating and Moving Inner Cylinder

Journal Name:

  • International Journal of Science and Engineering Investigations

Publication Year:

  • 2015

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
Instability of a viscous incompressible flow between two rotating concentric cylinders has been investigated by spectral method. The outer cylinder is stationary and the inner one rotates and moves axially simultaneously. Chebyshev tau method is used to solve eigenvalues of the flow stability. These eigenfunctions of governing equations are expressed by the Chebyshev polynomials. The method is a new approach to solve instability equation of the spiral Couette flow with execution time less than the other methods. Critical flow characteristics are calculated at the threshold of the instability for various Reynolds numbers based on the axial velocity. It is found that the axial velocity increases the flow stability and also non-symmetric mode is more stable than the symmetric mode for all Reynolds numbers. In addition, the velocity eigenmodes with more zero velocity points are attributed to the more stable conditions.
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REFERENCES

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International Journal of Science and Engineering Investigations, Volume 4, Issue 42, July 2015 79
www.IJSEI.com Paper ID: 44215-10
ISSN: 2251-8843
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