Abstract
A plane problem of cavity flow around a plate in a channel by an ideal incompressible liquid is solved using a new cavity closure scheme. The cavity is closed on a liquid region containing a dipole. The general solution to this problem is found. A parametric analysis is performed. A dependence of the relative length of the cavity and its midsection on the cross-section area reduction ratio of flow is discussed for various cavitation numbers.
References
V. P. Karlikov and S. L. Tolokonnikov, “Possible Schemes of Cavity Closure,” Izv. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 133–139 (2004) [Fluid Dyn. 39 (2), 286–292 (2004)].
V. P. Karlikov and S. L. Tolokonnikov, “Jet-Cavitation Flow Past “Fluid Cylinders“,” Izv. Akad. Nauk, Mekh. Zhidk. Gaza, No. 1, 143–151 (2004) [Fluid Dyn. 39 (1), 128–135 (2004)].
V. P. Karlikov and S. L. Tolokonnikov, “Jet-Cavitational Flow around the “Atmosphere” of a Vortex Pair,” Vestn. Mosk. Univ., Ser. 1: Mat. Mekh., No. 6, 22–27 (2003) [Moscow Univ. Mech. Bull. 58 (6), 6–11 (2003)].
M. A. Gurevich, “Symmetric Cavity Flow around a Plate Situated between Parallel Walls,” Izv. Akad. Nauk SSSR, Otdel Tekh. Nauk, No. 4, 487–498 (1946).
G. Birkhoff, M. Plesset, and N. Simons, “Wall Effect in Cavity Flow”, Quart. Appl. Math. 8(2), 161–168 (1950); 9 (4), 413–421 (1952).
Th. Yao-tsu Wu, “Cavity and Wake Flows,” Annu. Rev. Fluid Mech. 4, 243–284 (1972).
V. P. Karlikov and G. I. Sholomovich, “Method of Approximate Account for the Wall Effect in Cavitation Flow around Bodies in Water Tunnels,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 89–93 (1966) [Fluid Dyn. 1 (4), 61–64 (1966)].
M. I. Gurevich, Theory of Jets in Ideal Fluids (Fizmatgiz, Moscow, 1961; Academic, New York, 1965).
V. N. Vasil’ev, “Flow around a Plate Lattice with Developed Cavitation,” in Applied Mathematics and Mechanics (Chuvash Gos. Univ., Cheboksary, 1977), Issue 5, pp. 3–14.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.L. Tolokonnikov, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 2, pp. 66–69.
About this article
Cite this article
Tolokonnikov, S.L. A new cavity closure scheme to study the wall effect on the cavity flow around a plate in a channel. Moscow Univ. Mech. Bull. 70, 42–45 (2015). https://doi.org/10.3103/S0027133015020053
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027133015020053