A thermodynamic analysis for heterogeneous boiling nucleation on a superheated wall. (English) Zbl 1227.80042
Summary: A thermodynamic model based on Gibbs free energy and availability is developed for onset of heterogeneous nucleation on heated surfaces with different wettabilities in pool boiling. Different from classical nucleation theory, this model takes into consideration the temperature gradient in the superheated liquid layer adjacent to the wall as well as the contact angle between the liquid and the wall. Using Gibbs free energy equilibrium condition, a closed form solution is obtained on the critical radius for onset of heterogeneous boiling nucleation on walls with different wettabilities. Effects of contact angles and wall temperatures on the critical radius, the wall temperature gradient of the superheated liquid layer and the heat flux at onset of heterogeneous nucleate boiling are illustrated. These effects on the change of availability during the heterogeneous nucleation process, representing the energy barrier for the occurrence of the first-order phase transition, are also discussed.
MSC:
| 80A22 | Stefan problems, phase changes, etc. |
Keywords:
heterogeneous nucleation; thermodynamic equilibrium; critical radius; wall temperature; contact angleReferences:
| [1] | Carey, V. P.: Liquid-vapor phase-change phenomena, (1992) |
| [2] | Kashchiev, D.: Nucleation: basic theory with applications, (2000) |
| [3] | Steiner, H.; Kobor, A.; Gebhard, L.: A wall heat transfer model for subcooled boiling flow, Int. J. Heat mass transfer 48, 4161-4173 (2005) |
| [4] | Hsu, Y. Y.: On the size range of active nucleation cavities on a heating surface, ASME J. Heat transfer 84, 207-216 (1962) |
| [5] | Li, J.; Cheng, P.: Bubble cavitation in a microchannel, Int. J. Heat mass transfer 47, 2689-2698 (2004) · Zbl 1079.76658 · doi:10.1016/j.ijheatmasstransfer.2003.11.020 |
| [6] | Bergles, A. E.; Rohsenow, W. M.: The determination of forced-convection surface-boiling heat transfer, J. heat transfer 86, 365-372 (1964) |
| [7] | Basu, N.; Warrier, G. R.; Dhir, V. K.: Onset of nucleate boiling and active nucleation site density during subcooled flow boiling, J. heat transfer 124, 717-728 (2002) |
| [8] | Wu, D.; Duan, Y. Y.; Yang, Z.: Thermodynamic model for heterogeneous bubble nucleation in a temperature gradient, Appl. phys. Lett. 97, 081911 (2010) |
| [9] | Davis, E. J.; Anderson, G. H.: The incipience of nucleate boiling in forced convection flow, Aiche J. 12, 774-780 (1966) |
| [10] | S.G. Kandlikar, V. Mizo, M. Cartwright, E. Ikenze, Bubble nucleation and growth characteristics in subcooled flow boiling of water national heat transfer conference HTD-342, ASME (1997), 11 – 18. |
| [11] | Petrovic, S.; Robinson, T.; Judd, R. L.: Marangoni heat transfer in subcooled nucleate pool boiling, Int. J. Heat mass transfer 47, 5115-5128 (2004) |
| [12] | Li, J.; Peterson, G. P.: Microscale heterogeneous boiling on smooth surfaces-from bubble nucleation to bubble dynamics, Int. J. Heat mass transfer 48, 4316-4332 (2005) |
| [13] | Li, C.; Peterson, G. P.: Parametric study of pool boiling on horizontal highly conductive microporous coated surfaces, J. heat transfer 129, 1465-1475 (2007) |
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