Determination of drag coefficients in automatic ball balancers at low Reynolds numbers

References

• Bayraktar E., Mierka O., & Turek S. (2012). Benchmark computations of 3D laminar flow around a cylinder with CFX, OpenFOAM and FeatFlow. International Journal of Computational Science and Engineering, 7(3), 253. https://doi.org/https://doi.org/10.1504/IJCSE.2012.048245
   Google Scholar
• Bykov V. G., & Kovachev A. S. (2018). Autobalancing of a rigid rotor in viscoelastic orthotropic supports considering eccentricity of the automatic ball balancer. AIP Conference Proceedings, 1959(1), 080011. https://doi.org/https://doi.org/10.1063/1.5034728
   Google Scholar
• Bykov V. G., & Kovachev A. S. (2019). Dynamics of a statically unbalanced rotor with an elliptic automatic ball balancer. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 6(64)(3), 452–462. https://doi.org/https://doi.org/10.21638/11701/spbu01.2019.310
   Google Scholar
• Chao P. C.-P., Sung C. -K., & Leu H.-C. (2005). Effects of rolling friction of the balancing balls on the automatic ball balancer for optical disk drives. Journal of Tribology, 127(4), 845–856. https://doi.org/https://doi.org/10.1115/1.2032992
   Web of Science ®Google Scholar
• Chen Q., Xiong T., Zhang X., & Jiang P. (2019). Study of the hydraulic transport of non-spherical particles in a pipeline based on the CFD-DEM. Engineering Applications of Computational Fluid Mechanics, 14(1), 53–69. https://doi.org/https://doi.org/10.1080/19942060.2019.1683075
   Web of Science ®Google Scholar
• Ferziger J. H., Perić M., & Street R. L. (2020). Computational methods for fluid dynamics (4th ed.). Springer. https://doi.org/10.1007/978-3-319-99693-6
   Google Scholar
• Goldman A. J., Cox R. G., & Brenner H. (1967). Slow viscous motion of a sphere parallel to a plane wall – I motion through a quiescent UID. Chemical Engineering Science, 22(4), 637–651. https://doi.org/https://doi.org/10.1016/0009-2509(67)80047-2
   Web of Science ®Google Scholar
• Green K., Champneys A., & Friswell M. (2006). Analysis of the transient response of an automatic dynamic balancer for eccentric rotors. International Journal of Mechanical Sciences, 48(3), 274–293. https://doi.org/https://doi.org/10.1016/j.ijmecsci.2005.09.014
   Web of Science ®Google Scholar
• Henderson C. B. (1976). Drag coefficients of spheres in continuum and rarefied flows. AIAA Journal, 14(6), 707–708. https://doi.org/https://doi.org/10.2514/3.61409
   Web of Science ®Google Scholar
• Ishida Y., Matsuura T., & Zhang X. L. (2012). Efficiency improvement of an automatic ball balancer. Journal of Vibration and Acoustics, 134(2), 021012. https://doi.org/https://doi.org/10.1115/1.4005013
   Google Scholar
• Jan C.-D., & Chen J.-C. (1997). Movements of a sphere rolling down an inclined plane. Journal of Hydraulic Research, 35(5), 689–706. https://doi.org/https://doi.org/10.1080/00221689709498402
   Web of Science ®Google Scholar
• Johnson T. A., & Patel V. C. (1999). Flow past a sphere up to a Reynolds number of 300. Journal of Fluid Mechanics, 378, 19–70. https://doi.org/https://doi.org/10.1017/S0022112098003206
   Web of Science ®Google Scholar
• Jones D. A., & Clarke D. B. (2008). Simulation of the flow past a sphere using the fluent code (Tech. Rep.). Australian Government, Department of Defence. https://apps.dtic.mil/docs/citations/ADA494935.
   Google Scholar
• Krishnan S., & Kaman A. (2010). Effect of blockage ratio on drag and heat transfer from a centrally located sphere in pipe flow. Engineering Applications of Computational Fluid Mechanics, 4(3), 396–414. https://doi.org/https://doi.org/10.1080/19942060.2010.11015327
   Web of Science ®Google Scholar
• Lindell H. (1996). Vibration reduction on hand-held grinders by automatic balancing. Central European Journal of Public Health, 4(1), 43–45. [pMID: 8996669].
   PubMedGoogle Scholar
• Marchesse Y., Changenet C., & Ville F. (2014). Numerical investigations on drag coefficient of balls in rolling element bearing. Tribology Transactions, 57(5), 778–785. https://doi.org/https://doi.org/10.1080/10402004.2014.911399
   Web of Science ®Google Scholar
• Martinez R. C., Sweeney L. G., & Finlay W. H. (2009). Aerodynamic forces and moment on a sphere or cylinder attached to a wall in a blasius boundary layer. Engineering Applications of Computational Fluid Mechanics, 3(3), 289–295. https://doi.org/https://doi.org/10.1080/19942060.2009.11015272
   Web of Science ®Google Scholar
• Miyamura A., Iwasaki S., & Ishii T. (1981). Experimental wall correction factors of single solid spheres in triangular and square cylinders, and parallel plates. International Journal of Multiphase Flow, 7(1), 41–46. https://doi.org/https://doi.org/10.1016/0301-9322(81)90013-6
   Web of Science ®Google Scholar
• Morrison F. A. (2013). An introduction to fluid mechanics. Cambridge University Press. https://doi.org/10.1017/CBO9781139047463
   Google Scholar
• Nesterenko V. P. (1984). Automatic elimination of the static imbalance of a rotor with anisotropic supports. Soviet Machine Science, 1(1), 21–23. [Translated from Mashinovedenie, No. 1, pp. 24–25, 1984]
   Google Scholar
• Ryzhik B., Sperling L., & Duckstein H. (2003). The influence of damping on the efficiency of autobalancing devices for rigid rotors. In Proceedings of The Second International Symposium on Stability Control of Rotating Machinery ISCORMA-2003 (pp. 104–113). MAX MEDIA Sp. z o.o.
   Google Scholar
• Sharp R. (1975). An analysis of a self-balancing system for rigid rotors. Journal of Mechanical Engineering Science, 17(4), 186–189. https://doi.org/https://doi.org/10.1243/JMES_JOUR_1975_017_027_02
   Google Scholar
• Spannan L., Daniel C., & Woschke E. (2017). Experimental study on the velocity dependent drag coefficient and friction in an automatic ball balancer. Technische Mechanik, 37(1), 62–68. https://doi.org/https://doi.org/10.24352/UB.OVGU-2017-082
   Google Scholar
• Sperling L., Ryzhik B., & Duckstein H. (2004). Single-plane auto-balancing of rigid rotors. Technische Mechanik, 24(1), 1–24.
   Google Scholar
• Thearle E. L., & Schenectady N. Y. (1932). A new type of dynamic balancing machine. Transactions of the ASME, 54(12), 131–141.
   Google Scholar
• Van De Wouw N., Van Den Heuvel M. N., Nijmeijer H., & Van Rooij J. A. (2005). Performance of an automatic ball balancer with dry friction. International Journal of Bifurcation and Chaos, 15(1), 65–82. https://doi.org/https://doi.org/10.1142/S0218127405012016
   Web of Science ®Google Scholar
• Wright J. A., & Peng L. (2019). An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity. Results in Applied Mathematics, 2, 100015. https://doi.org/https://doi.org/10.1016/j.rinam.2019.100015
   Google Scholar