Abstract
Based on recently proposed non-singular contour-integral representations of single and double layer potentials for 3D surfaces, formulas in the axisymmetric case are derived. They express explicitly the singular layer potentials in terms of elliptic integrals. The presented expressions are non-singular, satisfy exactly very important conservation principles and directly take into account the multivaluedness of the double layer potential. The results are compared with another method for calculating the single and double layer potentials. The comparison demonstrates higher accuracy and better performance of the presented formulas.
Corresponding author. Present address: Section Materials Technology, Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands; I.Bazhlekov@tue.nl (This work was supported by the Dutch Polymer Institute)
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References
Stone H.A., Leal L.G.: Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. J. Fluid Mech. 198 (1989) 399
Davis R.H.: Buoyancy-driven viscous interaction of a rising drop with a smaller trailing drop. Phys. of Fluids 11 no.5 (1999) 1016
Kwak S., Fyrillas M.M. and Pozrikidis C.: Effect of surfactants on the instability of a liquid thread. Part II: Extensional flow. Int. J. Multiphase Flow 27 (2001) 39
Pozrikidis C.: Boundary-Integral and Singularity Methods for Linearized Viscous Flow. Cambridge U.P., Cambridge (1992)
Byrd P.F., Friedman M.D.: Handbook of Elliptic Integrals for Engineers and Scientists. Springer-Verlag, New York (1971)
Bazhlekov I., Bazhlekova E.: Non-singular contour-integral representation of single and double layer potentials. (in preparation)
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Bazhlekova, E.G., Bazhlekov, I.B. (2003). Contour-Integral Representation of Single and Double Layer Potentials for Axisymmetric Problems. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev, Z. (eds) Numerical Methods and Applications. NMA 2002. Lecture Notes in Computer Science, vol 2542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36487-0_43
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DOI: https://doi.org/10.1007/3-540-36487-0_43
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