Fluid to Fluid Modeling for Post Dry Out Using Dimensional Analysis and Energy Scaling

Abstract:

In this work, both dimensional analyses using Buckingham Pi-theorem and scaling of the energy equation have been applied successfully in fluid to fluid modeling for post dry out to model the Freon (R-134a) data available in the literature and convert it to water equivalent data. Also the results are compared with the available data in the literature for water. Experimental data sets in two fluids are assumed to be equivalent if the values of the dimensionless groups are equal for both fluids. Both methods are used and the results are compared with the experimental data at different operating conditions. The Katto and the Ahmad modeling dimensionless parameters coming from the analysis using Pi-theorem predicted successfully the equivalent data of water at moderate mass fluxes. However, at too high or low mass fluxes, this method deviated from the experimental data. However, the fluid to fluid modeling using the scaling of energy equation is applicable at any operating conditions and the results are too close to the experimental data.

• Periodical: Applied Mechanics and Materials (Volume 302)
• Pages: 42-48
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.302.42
• Online since: February 2013
• Authors: Medhat Nemitallah, Meamer El-Nakla
• Keywords: Ahmad’s Parameter, Critical Heat Flux, Dimensional Analysis, Energy Scaling, Fluid-to-Fluid Modeling, Katto’s Parameter

References

[1] S.S. Doerffer, D.C. Groeneveld, R. Tain, S.C. Cheng, W. Zeggel, Fluid-to-fluid modeling of the critical heat flux in simple and complex geometries, Atomic Energy of Canada Limited, ARD-TD-321 (1991).

[2] R.M. Tain, S.C. Cheng, D.C. Groeneveld, Critical heat flux measurements in a round tube for CFCs and CFC alternatives, Int. J. Heat Mass Transfer 36 (1993) 2039–(2049).

DOI: 10.1016/s0017-9310(05)80135-8

[3] R.M. Tain, D.C. Groeneveld, S.C. Cheng, Limitations of the fluid-to-fluid scaling technique for critical heat flux in flow boiling, Int. J. Heat Mass Transfer 38 (1995) 2195–2208.

DOI: 10.1016/0017-9310(94)00344-u

[4] I.L. Pioro, D.C. Groeneveld, S.C. Cheng, S. Doerffer, A.Z. Vasic, Yu.V. Antoshko, Comparison of CHF measurements in R-134a cooled tubes and the water CHF look-up table, Int. J. Heat Mass Transfer 44 (2001) 73–88.

DOI: 10.1016/s0017-9310(00)00093-4

[5] I.L. Pioro, D.C. Groeneveld, L.K.H. Leung, S.S. Doerffer, S.C. Cheng, Yu.V. Antoshko, Y. Guo, A. Vasic, Comparison of CHF measurements in horizontal and vertical tubes cooled with R-134a, Int. J. Heat Mass Transfer 45 (2002) 4435–4450.

DOI: 10.1016/s0017-9310(02)00149-7

[6] G.F. Stevens, G.J. Kirby, A quantitative comparison between burn-out data for water at 1000 lb/in2 and Freon-12 at 155 lb/in2, uniformly heated round tubes, vertical upflow, United Kingdom Atomic Energy Authority, AEEW-R327, (1964).

[7] S.Y. Ahmad, Fluid to fluid modeling of critical heat flux: a compensated distortion model, Int. J. Heat Mass Transfer 16 (1973) 641–662.

DOI: 10.1016/0017-9310(73)90229-9

[8] D.C. Groeneveld, B.P. Kiameh, S.C. Cheng, Prediction of critical heat flux (CHF) for non-aqueous fluids in forced convective boiling, in: Proceedings of the 8th International Heat Transfer Conference, San Francisco, USA, vol. 5 (1986) 2209–2214.

DOI: 10.1615/ihtc8.800

[9] Y. Katto, A generalized correlation of critical heat flux for the forced convection boiling in vertical uniformly heated round tubes, Int. J. Heat Mass Transfer 21 (1978) 1527–1542.

DOI: 10.1016/0017-9310(78)90009-1

[10] A. Katsaounis, Verification of Ahmad's fluid-to-fluid scaling law by bundle experiments, in: Proc. Winter Annual Meeting of the ASME, Chicago, USA (1980) 37–44.

[11] C.F. Fighetti, D.G. Reddy, Parametric study of CHF data, EPRI Report NP-2609, Electric Power Research Institute, Palo Alto, California, USA (1982).

[12] S.Y. Chun, S.D. Hong, Y.S. Cho, W.P. Baek, Comparison of the CHF data for water and refrigerant HFC-134a by using the fluid-to fluid modeling methods, Int. J. Heat Mass Transfer, in press, doi: 10. 1016/j. ijheatmasstransfer. (2005). 06. 039.

DOI: 10.1016/j.ijheatmasstransfer.2005.06.039

[13] Meamer El Nakla, On fluid-to-fluid modeling of film boiling heat transfer using dimensional analysis, International Journal of Multiphase Flow 37 (2011) 229–234.

DOI: 10.1016/j.ijmultiphaseflow.2010.09.004

[14] Ransom, V.H., Wang, W., Ishii, M., Use of an ideal model for scaling evaluation. Nucl. Eng. Des. 186 (1998) 135–148.

[15] Collier, J.G., Thome, J.R., Convective Boiling and Condensation. Oxford University Press, 1996, New York.

[16] Zhang, Ji., Geometry Effect on Post-Dryout Heat Transfer. Master Thesis, University of Ottawa, Ottawa, December (1997).

[17] Shang, D.Y., An Investigation of Scaling Laws for Converting Refrigerant Flow Film-Boiling Data into Water Equivalent Values. University of Ottawa Internal report (2002).