The perturbation method is used to solve
the control equations of a three-dimensional annular flow inside a small gap.
The nonlinear equations are separated into zeroth-order and first-order
perturbation equations. The velocity and pressure distributions are solved successively
by different numerical methods with the zeroth-order and first-order equation. Agreement
in results is found with the present method and software ANSYS-CFX, which
illustrates the applicability of perturbation method in solving complicated
flow field inside small gaps.
References
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[2]
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[8]
Chen, J.Y. (1995) An Improved Perturbation Method for Free Vibration Analysis. Journal of Sound and Vibration, 180, 519-523. http://dx.doi.org/10.1006/jsvi.1995.0094
[9]
Stepanova, L.V. and Igonin, S.A. (2014) Perturbation Method for Solving the Nonlinear Eigenvalue Problem Arising from Fatigue Crack Growth Problem in a Damaged Medium. Applied Mathematical Modeling, 38, 3436-3455.
http://dx.doi.org/10.1016/j.apm.2013.11.057
[10]
Wang, Z.X. and Qiao, P. (2015) Vibration Analysis of Laminated Composite Plates with Damage Using the Perturbation Method. Composites: Part B, 72, 160-174. http://dx.doi.org/10.1016/j.compositesb.2014.12.005
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Pu, G.Y. (2011) ANSYS Workbench 12 Basic Tutorial and Example Explanation, China Waterpower Press, Beijing. (In Chinese)
