Universal correlation for falling film evaporation heat transfer coefficients of water and seawater

Murugan, Muneeshwaran; Lin, Hao Yu; Yang, Cheng-Min; Nawaz, Kashif; Wang, Chi-Chuan

doi:10.1016/j.applthermaleng.2024.124881

Title: Universal correlation for falling film evaporation heat transfer coefficients of water and seawater

Journal Article · 13 November 2024 · Applied Thermal Engineering

DOI: https://doi.org/10.1016/j.applthermaleng.2024.124881 · OSTI ID:2478362

^[1];

^[1]; Yang, Cheng-Min ^[1];

^[1];

^[2]

Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
National Yang Ming Chiao Tung Univ., Hsinchu (Taiwan)

Horizontal falling film evaporators are widely utilized in desalination industries to increase fresh water supply. However, universal correlations for seawater falling film evaporation under varied operational and geometrical conditions are simply unavailable in open literature. Thus, this study aims to develop such a universal correlation for both plain and enhanced tubes. The detailed heat transfer mechanisms are reviewed, and rational parameters are incorporated to develop the universal correlation. A dataset of 994 data points from 9 sources covering a wide range of conditions was compiled. These conditions include Reynolds numbers from 10 to 7235, heat fluxes from 7.7 to 208 kW/m^-2, saturation temperatures from 278 to 401 K, salinities from 0 to 60 gsalt kg^-1water, tube diameters from 15.8 to 50.8 mm, and liquid feeder height to diameter ratios from 1 to 2.25. Upon analysis, it was found that most of the recommended existing correlations exhibited poor predictive accuracy, as evidenced by larger MADs. The developed correlation in this study demonstrated the best predictive accuracy for the entire dataset, yielding a MAD of 16.8 % and an R² of 0.82. Furthermore, the performance of the new correlation was individually assessed across a broader spectrum of operational and design conditions, reflecting the individual conditions’ influences with an overall MAD of 20 %.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: National Science and Technology Council Taiwan; USDOE Office of Energy Efficiency and Renewable Energy (EERE), Energy Efficiency Office. Building Technologies Office

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2478362

Journal Information:: Applied Thermal Engineering, Journal Name: Applied Thermal Engineering Vol. 259; ISSN 1359-4311

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (45)

Thermal desalination of sea water in thin film-plants Slesarenko, V. N. Desalination, Vol. 45, Issue 2 https://doi.org/10.1016/0011-9164(83)87040-4	journal	January 1983
The multi-effect boiling desalting system and its comparison with the multi-stage flash system Darwish, M. A.; El-Hadik, A. A. Desalination, Vol. 60, Issue 3 https://doi.org/10.1016/0011-9164(86)85003-2	journal	January 1986
Heat-transfer correlations for natural convection boiling Stephan, K.; Abdelsalam, M. International Journal of Heat and Mass Transfer, Vol. 23, Issue 1 https://doi.org/10.1016/0017-9310(80)90140-4	journal	January 1980
Investigation of heat exchange during sea water boiling in a horizontal thin film desalination plant Slesarenko, V. Desalination, Vol. 29, Issue 3 https://doi.org/10.1016/S0011-9164(00)82247-X	journal	June 1979
Experimental investigation of evaporation performances of a desalination prototype using the aero-evapo-condensation process Bourouni, K.; Martin, R.; Tadrist, L. Desalination, Vol. 114, Issue 2 https://doi.org/10.1016/S0011-9164(98)00003-4	journal	December 1997
Critical heat flux (CHF) for water flow in tubes—II. Hall, David D.; Mudawar, Issam International Journal of Heat and Mass Transfer, Vol. 43, Issue 14 https://doi.org/10.1016/S0017-9310(99)00192-1	journal	July 2000
Survey of solar desalination systems and system selection Kalogirou, Soteris Energy, Vol. 22, Issue 1 https://doi.org/10.1016/S0360-5442(96)00100-4	journal	January 1997
Falling film evaporation heat transfer of water/salt mixtures from roll-worked enhanced tubes and tube bundle Liu, Zhen-Hua; Yi, Jie Applied Thermal Engineering, Vol. 22, Issue 1 https://doi.org/10.1016/S1359-4311(01)00061-8	journal	January 2002
Heat-transfer film coefficients of falling film horizontal tube evaporators Xu, Li; Ge, Murong; Wang, Shichang Desalination, Vol. 166 https://doi.org/10.1016/j.desal.2004.06.077	journal	August 2004
Multi-effect boiling systems from an energy viewpoint Darwish, M. A.; Al-Juwayhel, Faisal; Abdulraheim, Hassan K. Desalination, Vol. 194, Issue 1-3 https://doi.org/10.1016/j.desal.2005.08.029	journal	June 2006
Experimental study of falling film evaporation heat transfer outside horizontal tubes Yang, Luopeng; Shen, Shengqiang Desalination, Vol. 220, Issue 1-3 https://doi.org/10.1016/j.desal.2007.02.046	journal	March 2008
Heat transfer characteristics in horizontal tube bundles for falling film evaporation in multi-effect desalination system Abraham, Raju; Mani, A. Desalination, Vol. 375 https://doi.org/10.1016/j.desal.2015.06.018	journal	November 2015
On falling film evaporator – A review of mechanisms and critical assessment of correlation on a horizontal tube bundle with updated development Lin, Hao-Yu; Muneeshwaran, M.; Yang, Cheng-Min International Communications in Heat and Mass Transfer, Vol. 150 https://doi.org/10.1016/j.icheatmasstransfer.2023.107165	journal	January 2024
Heat transfer characteristics of falling film evaporation on horizontal tube arrays Li, Wei; Wu, Xiao-Yu; Luo, Zhong International Journal of Heat and Mass Transfer, Vol. 54, Issue 9-10 https://doi.org/10.1016/j.ijheatmasstransfer.2010.12.031	journal	April 2011
Falling water film evaporation on newly-designed enhanced tube bundles Li, Wei; Wu, Xiao-Yu; Luo, Zhong International Journal of Heat and Mass Transfer, Vol. 54, Issue 13-14 https://doi.org/10.1016/j.ijheatmasstransfer.2011.02.052	journal	June 2011
Universal approach to predicting two-phase frictional pressure drop for adiabatic and condensing mini/micro-channel flows Kim, Sung-Min; Mudawar, Issam International Journal of Heat and Mass Transfer, Vol. 55, Issue 11-12 https://doi.org/10.1016/j.ijheatmasstransfer.2012.02.047	journal	May 2012
Universal approach to predicting heat transfer coefficient for condensing mini/micro-channel flow Kim, Sung-Min; Mudawar, Issam International Journal of Heat and Mass Transfer, Vol. 56, Issue 1-2 https://doi.org/10.1016/j.ijheatmasstransfer.2012.09.032	journal	January 2013
Universal approach to predicting two-phase frictional pressure drop for mini/micro-channel saturated flow boiling Kim, Sung-Min; Mudawar, Issam International Journal of Heat and Mass Transfer, Vol. 58, Issue 1-2 https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.045	journal	March 2013
Universal approach to predicting saturated flow boiling heat transfer in mini/micro-channels – Part II. Two-phase heat transfer coefficient Kim, Sung-Min; Mudawar, Issam International Journal of Heat and Mass Transfer, Vol. 64 https://doi.org/10.1016/j.ijheatmasstransfer.2013.04.014	journal	September 2013
Falling-film heat exchangers used in desalination systems: A review Dai, Zhengshu; Zhang, Yuheng; Wang, Sophie International Journal of Heat and Mass Transfer, Vol. 185 https://doi.org/10.1016/j.ijheatmasstransfer.2021.122407	journal	April 2022
A correlation of heat transfer for falling film evaporation on the horizontal tube with multiple-precision expansion method Li, Chao; Zhang, Liuyang; Mu, Xingsen International Journal of Heat and Mass Transfer, Vol. 221 https://doi.org/10.1016/j.ijheatmasstransfer.2023.125022	journal	April 2024
Falling-film evaporation on horizontal tubes—a critical review Ribatski, Gherhardt; Jacobi, Anthony M. International Journal of Refrigeration, Vol. 28, Issue 5 https://doi.org/10.1016/j.ijrefrig.2004.12.002	journal	August 2005
A general correlation for heat transfer during evaporation of falling films on single horizontal plain tubes Shah, Mirza M. International Journal of Refrigeration, Vol. 130 https://doi.org/10.1016/j.ijrefrig.2021.04.025	journal	October 2021
Universal correlation for falling film evaporation on a horizontal plain tube Lin, Hao-Yu; M., Muneeshwaran; Yang, Cheng-Min International Journal of Refrigeration, Vol. 146 https://doi.org/10.1016/j.ijrefrig.2022.11.006	journal	February 2023
The state of desalination and brine production: A global outlook Jones, Edward; Qadir, Manzoor; van Vliet, Michelle T. H. Science of The Total Environment, Vol. 657 https://doi.org/10.1016/j.scitotenv.2018.12.076	journal	March 2019
Falling film evaporation and boiling in circumferential and axial grooves on horizontal tubes Han, Jechin; Fletcher, Leroy S. Industrial & Engineering Chemistry Process Design and Development, Vol. 24, Issue 3 https://doi.org/10.1021/i200030a009	journal	July 1985
Evaporation from Thin Water Films on Horizontal Tubes Fletcher, Leroy S.; Sernas, Valentinas; Galowin, Lawrence S. Industrial & Engineering Chemistry Process Design and Development, Vol. 13, Issue 3 https://doi.org/10.1021/i260051a013	journal	July 1974
Evaporation Heat Transfer Coefficients for Thin Sea Water Films on Horizontal Tubes Fletcher, Leroy S.; Sernas, Valentinas; Parken, Walter H. Industrial & Engineering Chemistry Process Design and Development, Vol. 14, Issue 4 https://doi.org/10.1021/i260056a010	journal	October 1975
Multimodel assessment of water scarcity under climate change Schewe, Jacob; Heinke, Jens; Gerten, Dieter Proceedings of the National Academy of Sciences, Vol. 111, Issue 9 https://doi.org/10.1073/pnas.1222460110	journal	December 2013
Falling Films on Arrays of Horizontal Tubes with R-134a, Part II: Flow Visualization, Onset of Dryout, and Heat Transfer Predictions Roques, J. -F.; Thome, J. R. Heat Transfer Engineering, Vol. 28, Issue 5 https://doi.org/10.1080/01457630601163736	journal	May 2007
Effect of flame spray coating on falling film evaporation for multi effect distillation system Abraham, Raju; Mani, A. Desalination and Water Treatment, Vol. 51, Issue 4-6 https://doi.org/10.1080/19443994.2012.697347	journal	January 2013
Experimental study of falling film evaporation heat transfer coefficient on horizontal tube Mu, Xingsen; Shen, Shengqiang; Yang, Yong Desalination and Water Treatment, Vol. 50, Issue 1-3 https://doi.org/10.1080/19443994.2012.719734	journal	December 2012
Experimental studies on thermal spray-coated horizontal tubes for falling film evaporation in multi-effect desalination system Abraham, Raju; Mani, A. Desalination and Water Treatment, Vol. 56, Issue 1 https://doi.org/10.1080/19443994.2014.937753	journal	June 2014
Experimental study on overall heat transfer coefficient of seawater on three tube arrangements for horizontal-tube falling film evaporator Mu, Xingsen; Shen, Shengqiang; Yang, Yong Desalination and Water Treatment, Vol. 57, Issue 21 https://doi.org/10.1080/19443994.2015.1082941	journal	August 2015
The Intertube Falling Film: Part 1—Flow Characteristics, Mode Transitions, and Hysteresis Hu, X.; Jacobi, A. M. Journal of Heat Transfer, Vol. 118, Issue 3 https://doi.org/10.1115/1.2822676	journal	August 1996
The Intertube Falling Film: Part 2—Mode Effects on Sensible Heat Transfer to a Falling Liquid Film Hu, X.; Jacobi, A. M. Journal of Heat Transfer, Vol. 118, Issue 3 https://doi.org/10.1115/1.2822678	journal	August 1996
Heat Transfer Through Falling Film Evaporation and Boiling on Horizontal Tubes Parken, W. H.; Fletcher, L. S.; Sernas, V. Journal of Heat Transfer, Vol. 112, Issue 3 https://doi.org/10.1115/1.2910449	journal	August 1990
An Analytical and Experimental Study of Falling-Film Evaporation on a Horizontal Tube Chyu, M. -C.; Bergles, A. E. Journal of Heat Transfer, Vol. 109, Issue 4 https://doi.org/10.1115/1.3248214	journal	November 1987
Experimental Studies on Heat Transfer Coefficients of Horizontal Tube Falling Film Evaporation With Seawater Shen, Shengqiang; Chen, Xue; Mu, Xingsen Journal of Heat Transfer, Vol. 139, Issue 1 https://doi.org/10.1115/1.4034682	journal	September 2016
Experimental Study of Heat Transfer Characteristics for Horizontal-Tube Falling Film Evaporation Mu, Xingsen; Yang, Yong; Shen, Shengqiang Volume 2: Heat Transfer Enhancement for Practical Applications; Fire and Combustion; Multi-Phase Systems; Heat Transfer in Electronic Equipment; Low Temperature Heat Transfer; Computational Heat Transfer https://doi.org/10.1115/HT2012-58532	conference	July 2012
Heat Transfer in Thin Liquid Films Flowing Over Horizontal Tubes Parken, W. H.; Fletcher, Leroy S. Proceeding of International Heat Transfer Conference 7 https://doi.org/10.1615/IHTC7.1310	conference	January 1982
Falling Film Evaporation: State-of-the-Art Review of Recent Work Thome, J. R. Journal of Enhanced Heat Transfer, Vol. 6, Issue 2-4, p. 263-277 https://doi.org/10.1615/JEnhHeatTransf.v6.i2-4.140	journal	January 1999
Seawater Desalination: A Review of Forward Osmosis Technique, Its Challenges, and Future Prospects Aende, Aondohemba; Gardy, Jabbar; Hassanpour, Ali Processes, Vol. 8, Issue 8 https://doi.org/10.3390/pr8080901	journal	July 2020
A Review of Membrane-Based Desalination Systems Powered by Renewable Energy Sources Shahid, Muhammad Kashif; Mainali, Bandita; Rout, Prangya Ranjan Water, Vol. 15, Issue 3 https://doi.org/10.3390/w15030534	journal	January 2023
Thermophysical properties of seawater: a review of existing correlations and data Sharqawy, Mostafa H.; Lienhard, John H.; Zubair, Syed M. Desalination and Water Treatment, Vol. 16, Issue 1-3 https://doi.org/10.5004/dwt.2010.1079	journal	April 2010

Similar Records

Universal correlation for falling film evaporation on a horizontal plain tube

Journal Article · 2022 · International Journal of Refrigeration · OSTI ID:1971020

Lin, Hao-Yu; Murugan, Muneeshwaran; Yang, Cheng-Min; +2 more

Prediction of the Inter-Tube Flow Mode Transitions in the Evaporators of Multi-Effect Thermal Desalination Plants

Conference · 2023 · ASME 2023 Heat Transfer Summer Conference · OSTI ID:2336747

Mikhaeel, Mina K.; Jacobi, Anthony M.

On falling film evaporator – A review of mechanisms and critical assessment of correlation on a horizontal tube bundle with updated development

Journal Article · 2023 · International Communications in Heat and Mass Transfer · OSTI ID:2251580

Lin, Hao-Yu; Murugan, Muneeshwaran; Yang, Cheng-Min; +2 more

Related Subjects

42 ENGINEERING
Falling film evaporation
Heat transfer
Nusselt number
WaterEmpirical correlation

Title: Universal correlation for falling film evaporation heat transfer coefficients of water and seawater

Citation Formats

References (45)

Similar Records

Related Subjects