Modelling and analysis of stochastic and deterministic behaviors of nucleate boiling

• Autorzy: Mosdorf R. , Zapolnik L.
• Języki publikacji: EN

Abstrakty

EN

In the paper two kinds of numerical models of boiling have been investigated (stochastic and deterministic). The nucleate boiling on the horizontal heating surface with randomly located 100 nucleation sites has been considered. The heat fluxes absorbed from heating surface have been calculated for microlayer evaporation, natural convection and transient heat transfer. The impact of stochastic processes of activation and deactivation of nucleation sites on the dynamic properties of heating surface temperature fluctuation has been evaluated. Non-linear methods of data analysis have been applied to analysis of the heating surface temperature changes. In case of single nucleation site a significant difference between character of temperature changes at nucleation site obtained from both models under consideration has been noticed. But in case of 100 nucleation sites randomly located on the heating surface the temperature fluctuations obtained from both models are similar. Results of simulation and analyses of temperature fluctuation show that interaction of deterministic nucleation sites leads to such heating surface temperature fluctuation which is difficult to distinguish from temperature fluctuation generated by the stochastic model. Non-linear methods of data analysis such as largest Lyapunoy exponent and correlation dimension can not recognize the existence of behavior of random activation and deactivation of nucleation sites.

Słowa kluczowe

EN

chaos; non-linear analysis; nucleate boiling; nucleation sites interaction

PL

analiza nieliniowa; chaos; wrzenie pęcherzykowe; zarodkowanie płytek

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2007
• Tom: Vol. 28, no. 1
• Strony: 33--50
• Opis fizyczny: Bibliogr. 23 poz.,Wz., wykr., rys., tab.

Twórcy

autor

Mosdorf R.

autor

Zapolnik L.

• Białystok Technical Universitet, Institute of Informatics, ul. Wiejska 45A, 15-351 Białystok,

Bibliografia

• [1] JUDD R.L.: On nucleation site interaction, Journal of Heat Transfer, Vol.110, 1988, 475-478.
• [2] QIU D.M. AND DHIR V.K.: Single bubble dynamics during nucleate boiling under low gravity conditions, Engineering Foundation Conference on Microgravity Fluid Physics and Heat Transfer, Hawaii 1999, 61-71.
• [3] CHEKANOV V.V.: Interaction of centers in nucleate boiling, Teplofzika Vysokikh Temperatur, Vol. 15, 1977, 121-128.
• [4] CALKA A. AND JUDD R.L.: Some aspects of the interaction among nucleation sites during saturated nucleate boiling, Int. J. Heat Mass Transfer, Vol. 28, 1985, 2331-2342.
• [5] GJERKEŠ H. AND GOLOBIC I.: Measurement of certain parameters influencing activity of nucleation sites in pool boiling, Experimental Thermal and Fluid Science, Vol. 25, 2002, 487-493.
• [6] KUBO H., TAKAMATSU H. AND HONDA H.: Effects of size and number density of micro-reentrant cavities on boiling heat transfer from a Silicon chip immersed in degassed and gas-dissolved FC-72, Enhanced Heat Transfer, Vol. 6, 1999, 151-160.
• [7] BHAVNANI S.H., FOURNELLE G. AND JAEGER R.C.: Immersion-cooled heat sinks for electronics: insight form high-speed photography, IEEE Trans. Comp. Packag. Technol. Vol. 23, 2001, 166-176.
• [8] SHOJI M.: Studies of Boiling Chaos: a review, Int. J. Heat Mass Transfer, Vol. 47(2004), No. 6/7, 1105-1128.
• [9] YANAGITA T.: Coupled map lattice model of boiling, Phys. Lett. A 165 (5/6) 1992, 405-408.
• [10] YANAGITA T.: Phenomenology for boiling: a coupled map lattice, Chaos 2 (1992), 343-350.
• [11] SHOJI M., TAJIMA K.: Mathematical simulation model of boiling: modes and chaos, in: Engineering Foundation Conference on Convective Flow and Pool Boiling, Irsee, Germany, May 18-23, 1997, Convective Flow and Pool Boiling, Taylor & Francis, 1999, 217-222.
• [12] ELLEPOLA J.H., KENNING D.B.R.: Nucleation site interaction in pool boiling, in: Proceedings of the Second European Thermal Science and Fourteenth United Nation National Heat Transfer Conference, Rome, May 29-31, 1996.
• [13] MOSDORF R.: Simple model of spatio-temporal chaos in nucleate boiling, in: Proceedings of the Second Intern. Conf. on Heat Transfer and Transport Phenomena in Multiphase Systems, Kielce, Poland, 1999, 293-303.
• [14] MOSDORF R., SHOJI M.: Chaos in nucleate boiling - nonlinear analysis and modelling, Int. J. Heat Mass Transfer, Vol. 47(2004), 1515-1524.
• [15] PASAMEHMETOGLU K.O., NELSON R.A.: Cavity-to-cavity interaction in nucleate boiling: the effects of conduction within the heater, AIChE J. (Symp. Ser.) 87(282) 1991, 342-351.
• [16] HE Y., MARUYAMA S., SHOJI M.: Numerical study of high heat flux pool boiling heat transfer, Int. J. Heat Mass Transfer, 44(2001), 2357-2373.
• [17] SADASIVAN P., UNAL C, NELSON R.: Nonlinear aspects of high heat flux nucleate boiling heat transfer, Journal of Heat Transfer, 117(1995), 981-989.
• [18] KITRON A., ELPERIN T., TAMIR A.: Stochastic modelling of boiling-site interaction, Physical Review A., Vol 44, No 2, 1991, 1237-1246.
• [19] BENJAMIN R. J., BALAKRISHNAN A. R.: Nucleate pool boiling heat transfer of pure liquids at low to moderate heat fluxes, Int. J. Heat Mass Transfer, Vol. 39(1996), No. 12, 2495-2504.
• [20] MIKIC B. B., ROHSENOW W. M., AND GRIFFITH P.: Int. J. Heat Mass Transfer 13, 657(1970).
• [21] SCHUSTER H.G.: Deterministic chaos - introduction, Wydawnictwo Naukowe PWN, Warszawa 1993 (in Polish).
• [22] WOLF A., SWIFT J.B., SWINNEY H.L., AND VASTANO J.A.: Determining Lyapunov exponent from a time series, Phisica-D, 16(1985), 285-317.
• [23] GAJEK L.: Statistical concluding, models and i methods, WNT, Warszawa 2000 (in Polish).