The growth of vapour bubble in a superheated liquid between two phase turbulent flow / Mohammadein S.A., Abu-Bakr A.F. // Canadian Journal of Physics. - 2010. - V. 88, l. 5. - P. 317-324.

ISSN:
00084204
Type:
Article
Abstract:
In this paper, the growth of a vapour bubble in superheated water for two-phase turbulent flow is studied. The growth problem is formulated by mass and momentum equations under physical assumptions between two finite boundaries. The analytical solution is obtained in terms of the vapour bubble radius. The bubbly growth is affected by thermal diffusivity, superheating, and the Péclet number. The fact that the scale of the bubble is larger than the scale of the turbulence in the mixture surrounding the growing bubble is considered. The previous models of growth for laminar flow are obtained as a special cases of the present model for some values of the parameters a, b, n, and φ0, respectively.
Author keywords:
Index keywords:
Analytical solutions; Finite boundary; Growth problems; Momentum equation; Physical assumptions; Superheated liquids; Superheated water; Two phase; Vapour bubbles; Laminar flow; Turbulent flow
DOI:
10.1139/P10-022
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-77953185442&doi=10.1139%2fP10-022&partnerID=40&md5=27b49431b844e8106d94d0d5026d1a50
Соавторы в МНС:
Другие поля
Поле Значение
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-77953185442&doi=10.1139%2fP10-022&partnerID=40&md5=27b49431b844e8106d94d0d5026d1a50
Affiliations Department of Applied Mathematics, Faculty of Science, Tanta University, Tanta, Egypt; Department of Mathematics, Faculty of science, Menoufiya University, Shebin El-Kom, Egypt
References Geike, T., Popv, V., (2008) J. Tribol, 5, p. 002; Miura, M., Vinogradov, O., (2008) Comput. Chem. Eng, 32, p. 1249. , doi:10.1016/j.compchemeng.2007.05.015; Mohammadein, S.A., (1994) IMP, PAN, , Ph. D. thesis, Gdansk; Stanniszewski, B., Madesjski, J., (1977) Heat Transfer in Boiling and two-phase, 1. , Osrodek informacji energii jadrowej. Warsaw, In Polish; Mohammadein, S.A., Gorla, S.R., (2003) Int. J. Heat Mass Transfer, 39, p. 97; Kendoush, A.A., (2006) J. Heat Transfer, 128, p. 100. , doi:10. 1115/1.2130409; Prosperetti, A., Plesset, M.S., (1978) J. Fluid Mech, 85, p. 349. , doi:10.1017/S0022112078000671; Bosnakovic, F., Verdampfung and Flusigkeitsuberhizung (1930) Tech. Mech. Thermo-Dyna. BERL, 1, p. 358; Forster, H.K., Zuber, N., (1954) J. Appl. Phys., 25, p. 474. , doi:10.1063/1.1721664; Scriven, L.E., (1959) Chem. Eng. Sci., 10, p. 1. , doi:10.1016/0009-2509 59 80019-1; Plesset, M.S., Zwick, S.A., (1954) J. Appl. Phys., 25, p. 493. , doi:10.1063/1.1721668; Olek, S., Zvirin, Z., Elias, E., (1990) Waerme Stoffuebertragung, 25, p. 17. , doi:10.1007/BF01592349; Mohammadein, S.A., Gad Ei-Rab, R.A., The growth of vapour bubbles in superheated water between two finite boundaries (2001) Canadian Journal of Physics, 79 (7), pp. 1021-1029. , DOI 10.1139/cjp-79-7-1021; Alves, S.S., Vasconcelos, J.M.T., Orvalho, S.P., (2006) Chem. Eng. Sci., 61, p. 134; Mikielewicz, D., (2003) Int. J. Heat Mass Transfer, 46, p. 207. , doi:10.1016/S0017-9310 02 00287-9; Moraga, F.J., Larreteguy, A.E., Drew, D.A., Lahey, R., (2003) Int. J. Multiph. Flow, 29, p. 655. , doi:10.1016/S0301-9322 03 00018-1; Ivashnyov, O.E., Smirnov, N.N., Thermal growth of a vapor bubble moving in superheated liquid (2004) Physics of Fluids, 16 (3), pp. 809-823. , DOI 10.1063/1.1645851; Kroshilin, A.E., Kroshilin, V.E., Nigmatulin, B.I., (1984) Teplofiz. Teplofiz. Vys. Temp, 22, p. 355; Florschuetz, L.W., Henry, C.L., Khan, A.R., (1969) Int. J. Heat Mass Transfer, 12, p. 1465. , doi:10.1016/0017-9310 69 90028-3; Batchelor, G.K., (1959) The Theory of Homogeneous Turbulence, pp. 76-78. , Cambridge University Press, London; Calen, B., Schubauer, G.B., Tchen, C.M., (1961) Turbulent Flow, pp. 8-32; Borishanskii, V.M., Zebloiskaya, T.V., (1967) Turbulent Thermal Diffusivity in a Current of Liquid with Thermal Conductivity. Translated From Atomnaya Energiya, 22, p. 135; Plesset, M., Zwick, S., (1952) J. Appl. Phys., 23, p. 95. , doi:10.1063/1.1701985; Haar, L., Callagher, J.S., Kell, G.S., (1984) NBS/NRC, , Stream tables; Hinze, J.O., (1975) Turbulence, , McGraw-Hill, New York
Correspondence Address Mohammadein, S. A.; Department of Applied Mathematics, Faculty of Science, Tanta University, Tanta, Egypt; email: selimali40_43@yahoo.com
CODEN CJPHA
Language of Original Document English
Abbreviated Source Title Can J Phys
Source Scopus