Modeling a General Equation for Pool Boiling Heat Transfer
Affiliation(s)
Chemical Engineering Department, Higher Colleges of Technology, Abu Dhabi, United Arab Emirates.
Chemical Engineering Department, Higher Colleges of Technology, Abu Dhabi, United Arab Emirates.
ABSTRACT
It is recognized that the nucleate pool boiling data available in literature are mainly related to four known correlations, each differs from the other by a varying magnitude of constant coefficients, depending on restrictive experimental conditions. The present work is concerned in developing an empirically generalized correlation, which covers the entire range of nucleate boiling with a minimum possible deviation from experimental data. The least squares multiple regression technique is used to evaluate the best coefficient value used in the correlations. An empirical correlation that fits a broader scope of available data has been developed by a non-linear solution technique leading to the following equation: where the coefficients R1 and R3 both represent the effect of surface-liquid combination. They are assessed independently for the used surface material and liquid.
It is recognized that the nucleate pool boiling data available in literature are mainly related to four known correlations, each differs from the other by a varying magnitude of constant coefficients, depending on restrictive experimental conditions. The present work is concerned in developing an empirically generalized correlation, which covers the entire range of nucleate boiling with a minimum possible deviation from experimental data. The least squares multiple regression technique is used to evaluate the best coefficient value used in the correlations. An empirical correlation that fits a broader scope of available data has been developed by a non-linear solution technique leading to the following equation: where the coefficients R1 and R3 both represent the effect of surface-liquid combination. They are assessed independently for the used surface material and liquid.
Cite this paper
M. Hameed, A. Khan and A. Mahdi, "Modeling a General Equation for Pool Boiling Heat Transfer," Advances in Chemical Engineering and Science, Vol. 3 No. 4, 2013, pp. 294-303. doi: 10.4236/aces.2013.34037.
M. Hameed, A. Khan and A. Mahdi, "Modeling a General Equation for Pool Boiling Heat Transfer," Advances in Chemical Engineering and Science, Vol. 3 No. 4, 2013, pp. 294-303. doi: 10.4236/aces.2013.34037.
References
[1] Y. Haramura and Y. Katto, “A New Hydrodynamic Model of Critical Heat Flux, Applicable Widely to Both Pool and Forced Convection Boiling on Submerged Bodies in Saturated Liquids,” International Journal of Heat and Mass Transfer, Vol. 26, No. 2, 1983, pp. 389-399.
http://dx.doi.org/10.1016/0017-9310(83)90043-1 [2] S. Maruyama, M. Shoji and S. Shimizu, “A Numerical Simulation of Transition Boiling, Heat Transfer,” Proceedings of the 2nd JSME-KSME Thermal Engineering Conference, Kitakyushu, 19-21 October 1992, pp. 345-348. [3] Y. H. Zhao, T. Masuoka and T. Tsuruta, “Theoretical Studies on Transient Pool Boiling Based on Microlayer Model (Mechanism of Transition from Nonboiling Regime to Film Boiling),” Trans. JSME (B), Vol. 63, No. 607, 1997, pp. 218-223. [4] Y. He’ M. Shoji and S. Maruyama; “Numerical Study of High Heat Flux Pool Boiling Heat Transfer,” International Journal of Heat and Mass Transfer, Vol. 44, No. 12, 2001, pp. 2357-2373.
http://dx.doi.org/10.1016/S0017-9310(00)00269-6 [5] V. K. Dhir; “Numerical Simulation of Pool-Boiling Heat Transfer,” AICHEJ, Vol. 47, No. 4, 2001, p. 813.
http://dx.doi.org/10.1002/aic.690470407 [6] H. S. Lee, “Mechanisms of Steady-State Nucleate Pool Boiling in Microgravity,” Annals of the New York Academy of Sciences, Vol. 974, 2002, pp. 447-462.
http://dx.doi.org/10.1111/j.1749-6632.2002.tb05924.x [7] H. Herman, “Some Parameter Boundaries Governing Microgravity Pool Boling Modes,” Annals of the New York Academy of Science, Vol. 644, 2006, pp. 629-649. [8] S. X. Wan and J. Zhao, “Pool Boiling in Microgravity: Recent Results and Perspectives for the Project DEPA-SJ10,” Microgravity Science and Technology, Vol. 20, No. 3-4, 2008, pp. 219-224. [9] C. Kubota, et al., “Experiment on nucleate Pool Boiling in Microgravity by using Transparent Heating Surface-Analysis of Surface Heat Transfer Coefficients,” Journal of Physics: Conference Series, Vol. 327, 2011, Article ID: 012040. [10] X. Ji, J. Xu, Z. Zhao and W. Yang, “Pool Boiling Heat Transfer on Uniform and Non-uniform Porous Coating Surfaces,” Experimental Thermal and Fluid Science, Vol. 48, 2013, pp. 198-212.
http://dx.doi.org/10.1111/j.1749-6632.2002.tb05924.x [11] S. H. You, J. H. Kim and K. H. Kim, “Effect of Nano Particle on Critical Heat Flux of Water in Pool Boiling Heat Transfer,” Applied Physics Letters, Vol. 83, No. 16, 2003, pp. 3374-3376.
http://dx.doi.org/10.1063/1.1619206 [12] S.K. Das, N. Putra and W. Roetzel, “Pool Boiling Characteristics of Nano-Fluid,” International Journal of Heat and Mass Transfer, Vol. 46, No. 5, 2003, pp. 851-862.
http://dx.doi.org/10.1016/S0017-9310(02)00348-4 [13] W. M. Rohsenow and J. A. Clark, “Heat Transfer and Fluid Mechanics,” Inst. Stanford University Press, 1951, p. 193. [14] K. Nishikawa and Y. Fujita, Memoirs of the Faculty of Engineering, Kyushu University, Vol. 36, No. 2, 1976, p. 136. [15] W. M. Rohsenow, Trans. ASME, Vol. 74, 1952, p. 966. [16] H. K. Forster and N. Zuber, “Dynamics of Vapor Bubbles and Boiling Heat Transfer,” AIChE Journal, Vol. 1, No. 4, 1955, p. 531. http://dx.doi.org/10.1002/aic.690010425 [17] H. K. Forster and R. A. Grief, Journal of Heat Transfer, Vol. 81, No. 1, 1959. [18] S. C. Gupta and B. S. Varshney, International Journal of Heat and Mass Transfer, Vol. 23, 1980, p. 219. [19] M. T. Cichelli and C. F. Bonilla, Trans. AICHE, Vol. 41, 1945, p. 755. [20] D. S. Cryder and A. C. Finalborgo, Trans. AICHE, Vol. 33, 1937, p. 346. [21] C. V. Sternling and L. J. Tichacek, “Heat Transfer Coefficients for Boiling Mixtures: Experimental Data for Binary Mixtures of Large Relative Volatility,” Chemical Engineering Science, Vol. 16, No. 3-4, 1961, pp. 297-337.
http://dx.doi.org/10.1016/0009-2509(61)80040-7 [22] I. A. Rabin, R. T. Beaubuef and G. E. Commerford, Chemical Engineering Progress Symposium Series, Vol. 61, No. 57, 1965, p. 249. [23] G. S. Yadav and O. P. Chawla, Mechanical Engineering Division, Vol. 60, Part ME. 6, 1980, p. 229. [24] A. A. Mahdi, “Pool Boiling of Saturated Liquids,” M.Sc. Thesis, University of Technology, Baghdad, 1983. [25] E. A. Farber and E. L. Scorah, Trans. ASME, Vol. 70, 1948, p. 369. [26] ESDU Engineering Sciences Data Unit, Chemical Engineering Series, Physical Data, Vol. 2, 1978. [27] ESDU Engineering Science Data Unit, Chemical Data, Vol. 4, 1978. [28] E. W. Washburn, “International Critical tables of Numerical Data, Physics, Chemistry and Technology,” Mc-Graw-Hill Book Company Inc., New York, 1926. [29] R. H. Perry and C. H. Chilton, “Chemical Engineers Handbook,” 4th Edition, McGraw-Hill Kogakusha, Ltd., 1963. [30] C. Brice, H. A. Luther and O. W. James, “Applied Numerical Methods,” John Wiley and Sons, Inc., Hoboken, 1969, p. 272. [31] P. R. Adby and M. A. H. Demoster, “Introduction to Optimisation Methods,” Chapman and Hall, 1974.
http://dx.doi.org/10.1007/978-94-009-5705-3
[1] Y. Haramura and Y. Katto, “A New Hydrodynamic Model of Critical Heat Flux, Applicable Widely to Both Pool and Forced Convection Boiling on Submerged Bodies in Saturated Liquids,” International Journal of Heat and Mass Transfer, Vol. 26, No. 2, 1983, pp. 389-399.
http://dx.doi.org/10.1016/0017-9310(83)90043-1 [2] S. Maruyama, M. Shoji and S. Shimizu, “A Numerical Simulation of Transition Boiling, Heat Transfer,” Proceedings of the 2nd JSME-KSME Thermal Engineering Conference, Kitakyushu, 19-21 October 1992, pp. 345-348. [3] Y. H. Zhao, T. Masuoka and T. Tsuruta, “Theoretical Studies on Transient Pool Boiling Based on Microlayer Model (Mechanism of Transition from Nonboiling Regime to Film Boiling),” Trans. JSME (B), Vol. 63, No. 607, 1997, pp. 218-223. [4] Y. He’ M. Shoji and S. Maruyama; “Numerical Study of High Heat Flux Pool Boiling Heat Transfer,” International Journal of Heat and Mass Transfer, Vol. 44, No. 12, 2001, pp. 2357-2373.
http://dx.doi.org/10.1016/S0017-9310(00)00269-6 [5] V. K. Dhir; “Numerical Simulation of Pool-Boiling Heat Transfer,” AICHEJ, Vol. 47, No. 4, 2001, p. 813.
http://dx.doi.org/10.1002/aic.690470407 [6] H. S. Lee, “Mechanisms of Steady-State Nucleate Pool Boiling in Microgravity,” Annals of the New York Academy of Sciences, Vol. 974, 2002, pp. 447-462.
http://dx.doi.org/10.1111/j.1749-6632.2002.tb05924.x [7] H. Herman, “Some Parameter Boundaries Governing Microgravity Pool Boling Modes,” Annals of the New York Academy of Science, Vol. 644, 2006, pp. 629-649. [8] S. X. Wan and J. Zhao, “Pool Boiling in Microgravity: Recent Results and Perspectives for the Project DEPA-SJ10,” Microgravity Science and Technology, Vol. 20, No. 3-4, 2008, pp. 219-224. [9] C. Kubota, et al., “Experiment on nucleate Pool Boiling in Microgravity by using Transparent Heating Surface-Analysis of Surface Heat Transfer Coefficients,” Journal of Physics: Conference Series, Vol. 327, 2011, Article ID: 012040. [10] X. Ji, J. Xu, Z. Zhao and W. Yang, “Pool Boiling Heat Transfer on Uniform and Non-uniform Porous Coating Surfaces,” Experimental Thermal and Fluid Science, Vol. 48, 2013, pp. 198-212.
http://dx.doi.org/10.1111/j.1749-6632.2002.tb05924.x [11] S. H. You, J. H. Kim and K. H. Kim, “Effect of Nano Particle on Critical Heat Flux of Water in Pool Boiling Heat Transfer,” Applied Physics Letters, Vol. 83, No. 16, 2003, pp. 3374-3376.
http://dx.doi.org/10.1063/1.1619206 [12] S.K. Das, N. Putra and W. Roetzel, “Pool Boiling Characteristics of Nano-Fluid,” International Journal of Heat and Mass Transfer, Vol. 46, No. 5, 2003, pp. 851-862.
http://dx.doi.org/10.1016/S0017-9310(02)00348-4 [13] W. M. Rohsenow and J. A. Clark, “Heat Transfer and Fluid Mechanics,” Inst. Stanford University Press, 1951, p. 193. [14] K. Nishikawa and Y. Fujita, Memoirs of the Faculty of Engineering, Kyushu University, Vol. 36, No. 2, 1976, p. 136. [15] W. M. Rohsenow, Trans. ASME, Vol. 74, 1952, p. 966. [16] H. K. Forster and N. Zuber, “Dynamics of Vapor Bubbles and Boiling Heat Transfer,” AIChE Journal, Vol. 1, No. 4, 1955, p. 531. http://dx.doi.org/10.1002/aic.690010425 [17] H. K. Forster and R. A. Grief, Journal of Heat Transfer, Vol. 81, No. 1, 1959. [18] S. C. Gupta and B. S. Varshney, International Journal of Heat and Mass Transfer, Vol. 23, 1980, p. 219. [19] M. T. Cichelli and C. F. Bonilla, Trans. AICHE, Vol. 41, 1945, p. 755. [20] D. S. Cryder and A. C. Finalborgo, Trans. AICHE, Vol. 33, 1937, p. 346. [21] C. V. Sternling and L. J. Tichacek, “Heat Transfer Coefficients for Boiling Mixtures: Experimental Data for Binary Mixtures of Large Relative Volatility,” Chemical Engineering Science, Vol. 16, No. 3-4, 1961, pp. 297-337.
http://dx.doi.org/10.1016/0009-2509(61)80040-7 [22] I. A. Rabin, R. T. Beaubuef and G. E. Commerford, Chemical Engineering Progress Symposium Series, Vol. 61, No. 57, 1965, p. 249. [23] G. S. Yadav and O. P. Chawla, Mechanical Engineering Division, Vol. 60, Part ME. 6, 1980, p. 229. [24] A. A. Mahdi, “Pool Boiling of Saturated Liquids,” M.Sc. Thesis, University of Technology, Baghdad, 1983. [25] E. A. Farber and E. L. Scorah, Trans. ASME, Vol. 70, 1948, p. 369. [26] ESDU Engineering Sciences Data Unit, Chemical Engineering Series, Physical Data, Vol. 2, 1978. [27] ESDU Engineering Science Data Unit, Chemical Data, Vol. 4, 1978. [28] E. W. Washburn, “International Critical tables of Numerical Data, Physics, Chemistry and Technology,” Mc-Graw-Hill Book Company Inc., New York, 1926. [29] R. H. Perry and C. H. Chilton, “Chemical Engineers Handbook,” 4th Edition, McGraw-Hill Kogakusha, Ltd., 1963. [30] C. Brice, H. A. Luther and O. W. James, “Applied Numerical Methods,” John Wiley and Sons, Inc., Hoboken, 1969, p. 272. [31] P. R. Adby and M. A. H. Demoster, “Introduction to Optimisation Methods,” Chapman and Hall, 1974.
http://dx.doi.org/10.1007/978-94-009-5705-3