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A Variant Algorithm for Solving Eigenvalue Equation in Linear Stability Problems

[+] Author Affiliations
Zongchun Qiao, P. N. Kaloni

University of Windsor, Windsor, ON, Canada

Paper No. IMECE2011-62600, pp. 165-172; 8 pages
doi:10.1115/IMECE2011-62600
From:
  • ASME 2011 International Mechanical Engineering Congress and Exposition
  • Volume 6: Fluids and Thermal Systems; Advances for Process Industries, Parts A and B
  • Denver, Colorado, USA, November 11–17, 2011
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5492-1
  • Copyright © 2011 by ASME

abstract

We present a new approach, based upon the chebyshev tau-QZ algorithm, quesi-Newton technique, and the minimum optimization routine, to study the numerical solutions of the non-linear eigenvalue problem, arising in the linear stability analysis of non-Newtomian fluid. One principal advantage of our approach is that the resolution of the non-linear eigenvalue problem is changed into a search algorithm, and the calculation leading to the determination by both natural stability and overstability can be unified in a single code. Numerical results show that our results, obtained by this approach, are in excellent agreement with the worthy previous authors.

Copyright © 2011 by ASME

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