Abstract
The unsteady fluid-dynamic forces, generated by a flexural motion in axial (laminar) flow, have been formulated based on a collocation finite-difference method for concentric configurations, in connection with the flow-induced vibration problem. Based on the numerical method, the governing equations of the unsteady flow, obtained from the appropriate Navier-Stokes and continuity equations, redcuced to a system of algebraic equations leading to a block-tridiagonal system. To obtain a solution of the system, the LU decomposition method is used considering the factorization scheme. This numerical method is capable of taking fully into account unsteady viscous effects and of predicting viscous forces rigorously rather than approximately, in contrast with existing theories. In order to validate the numerical approach, semi-analytical approaches have been developed for estimating the fluid-dynamic forces. The numerical results are compared to the analytical results and good agreement was found. The contribution of unsteady viscous damping forces to the overall unsteady forces is significant for low values of the oscillatory Reynolds number, expecially in very narrow annuli.
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References
Chen, S. S., 1981, “Fluid Damping for Circular Cylindrical Structures”, Nuclear Engineering and Design, Vol. 63(1), pp. 81–100.
Lighthill, M. J., 1960, “Note on the Swimming of Slender Fish”, Journal of Fluid Mechanics, Vol. 9, pp. 305–317.
Mateescu, D., Paidoussis, M. P. and Sim, W.-G., 1990, “CFD Solution for Steady Viscous and Unsteady Potential Flow between Eccentric Cylinders,” ASME International Symposium on Nonsteady Fluid Dynamics, Toronto, FED-Vol. 92, pp. 235–242.
Paidoussis, M. P., 1966a, “Dynamics of Flexible Slender Cylinders in Axial Flow; Part I: Theory,” Journal of Fluid Mechanics, Vol. 26, pp. 717–751.
Paidoussis, M. P., 1973, “Dynamics of Cylindrical Structures Subjected to Axial Flow,” Journal of Sound and Vibration, Vol. 29(3), pp. 365–385.
Paidoussis, M. P. and Pettigrew, M. J., 1979, “Dynamics of Flexible Cylinders in Axisymmetrically Confined Axial Flow,” Journal of Applied Mechanics, Vol. 46, pp. 37–44.
Paidoussis, M. P., 1987, “Flow-induced Instabilities of Cylindrical Structures,” ASME Applied Mechanics Reviews, Vol. 40(2), pp. 163–175.
Paidoussis, M. P., Mateescu, D. and Sim, W-G., 1990, “Dynamics of stability of a Flexible Cylinders in a Narrow Coaxial Cylindrical Dust Subjected to Annular Flow,” Journal of Applied Mechanics, Vol. 57, pp. 232–240.
Patanker, S. V., 1980 “Numerical Heat Transfer and Fluid flow,” McGraw-Hill Book Co., New York.
Sim, W.-G. and Cho, Y.-C., 1993, “Unsteady Potential and Viscous Flows between Eccentric Cylinders,” KSME Journal, Vol. 7(1), pp. 55–69.
Spalding, D. B., 1972, “A Novel Finite-difference Formulation for Differential Expressions Involving both First and Second Derivatives,” International Journal for Numerical Method in Engineers, Vol. 4, pp. 551–559.
Taylor, G. I., 1952, “Analysis of the Swimming of long and Narrow Animals,” Proceedings of the Royal Society (London). A 214, pp. 158–183.
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Sim, W.G., Cho, Y.C. Study of unsteady fluid-dynamic forces acting on a flexible cylinder in a concentric annulus. KSME Journal 7, 144–157 (1993). https://doi.org/10.1007/BF02954364
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DOI: https://doi.org/10.1007/BF02954364