Self-similar growth of a gas bubble induced by localized heating: the effect of temperature-dependent transport properties

作者: N. Divinis , M. Kostoglou , T.D. Karapantsios , V. Bontozoglou

DOI: 10.1016/J.CES.2004.10.024

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摘要: A gas bubble growing in a saturated liquid under the action of an internal heat source is studied theoretically as model problem for growth around miniature spherical heater submerged liquid. In general, this does not admit self-similar solution but it shown that with strength increasing proportion to square root time, exists even temperature-dependent transport properties. case radius also proportional time proportionality constant which can be found from boundary value problem. The effect temperature dependence gas-in-liquid diffusivity and thermal conductivities on examined detail. Finally, approximating explicit procedures are proposed computation rate without resorting

参考文章(25)
M. S. Plesset, S. A. Zwick, The Growth of Vapor Bubbles in Superheated Liquids Journal of Applied Physics. ,vol. 25, pp. 493- 500 ,(1954) , 10.1063/1.1721668
A.J. Robinson, R.L. Judd, Bubble growth in a uniform and spatially distributed temperature field International Journal of Heat and Mass Transfer. ,vol. 44, pp. 2699- 2710 ,(2001) , 10.1016/S0017-9310(00)00294-5
Rutton D. Patel, Bubble growth in a viscous Newtonian liquid Chemical Engineering Science. ,vol. 35, pp. 2352- 2356 ,(1980) , 10.1016/0009-2509(80)87016-3
Thomas K. Sherwood, Robert E. Street, Robert C. Reid, The Properties of Gases and Liquids ,(1977)
R.Srini Srinivasan, Wayne A. Gerth, Michael R. Powell, A mathematical model of diffusion-limited gas bubble dynamics in tissue with varying diffusion region thickness. Respiration Physiology. ,vol. 123, pp. 153- 164 ,(2000) , 10.1016/S0034-5687(00)00173-0
L.E. Scriven, On the dynamics of phase growth Chemical Engineering Science. ,vol. 50, pp. 3907- 3917 ,(1995) , 10.1016/0009-2509(59)80019-1
Osamu Miyatake, Itsuo Tanaka, Noam Lior, Bubble growth in superheated solutions with a non-volatile solute Chemical Engineering Science. ,vol. 49, pp. 1301- 1312 ,(1994) , 10.1016/0009-2509(94)85067-4
N. Divinis, T. D. Karapantsios, M. Kostoglou, C. S. Panoutsos, V. Bontozoglou, A. C. Michels, M. C. Sneep, R. De Bruijn, H. Lotz, Bubbles growing in supersaturated solutions at reduced gravity Aiche Journal. ,vol. 50, pp. 2369- 2382 ,(2004) , 10.1002/AIC.10240
Ali Arefmanesh, Suresh G. Advani, Efstathios E. Michaelides, An accurate numerical solution for mass diffusion-induced bubble growth in viscous liquids containing limited dissolved gas International Journal of Heat and Mass Transfer. ,vol. 35, pp. 1711- 1722 ,(1992) , 10.1016/0017-9310(92)90141-E