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Numerical Modelling and Sensitivity Analysis of Natural Draft Cooling Towers

  • A. Dhorat , M. A. Al-Obaidi und I.M. Mujtaba EMAIL logo
Veröffentlicht/Copyright: 12. April 2018
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Abstract

Cooling towers are a relatively inexpensive and consistent method of ejecting heat from several industries such as thermal power plants, refineries, and food processing. In this research, an earlier model from literature was to be validated across three different case studies. Unlike previous models, this model considers the height of the fill as the discretised domain, which produces results that give it in a distribution form along the height of the tower. As there are limitations with the software used (gPROMS) where differential equations with respect to independent variables in the numerator and denominator cannot be solved, a derivative of the saturation vapour pressure with respect to the temperature of the air was presented. Results shown were in agreement with the literature and a parametric sensitivity analysis of the cooling tower design and operating parameters were undertaken. In this work the height of fill, mass flowrates of water and air were studied with respect to sensitivity analysis. Results had shown large variations in the outlet temperatures of the water and air if the mass flows of water and air were significantly reduced. However, upon high values of either variable had shown only small gains in the rejection of heat from the water stream. With respect to the height of the fill, at larger heights of the fill, the outlet water temperature had reduced significantly. From a cost perspective, it was found that a change in the water flowrate had incurred the largest cost penalty with a 1 % increase in flowrate had increased the average operating cost by 1.2 %. In comparison, a change in air flowrate where a 1 % increase in flowrate had yielded an average of 0.4 % increase in operating cost.

References

[1] Verma P. Cooling water treatment handbook. New Delhi, India: Albatross Fine Chem Ltd, 2004:82.Suche in Google Scholar

[2] Merkel F. Verdunstungskuhlung. VDI Zeitschriff Deust Inge. 1925;70:123–128.Suche in Google Scholar

[3] Jin G, Cai W, Lu L, Lee E, Chiang A. A simplified modelling of mechanical cooling tower for control and optimization of HVAC systems. Energy Conver Manag. 2007;48(2):355–365.10.1016/j.enconman.2006.07.010Suche in Google Scholar

[4] Kloppers J, Kroger D. A critical investigation into the heat and mass transfer analysis of crossflow wet-cooling towers. Numerical Heat Transfer, Part A: Appli. 2004;46:8:785–806.10.1080/104077890504113Suche in Google Scholar

[5] Feltzin A, Benton D. A more exact representation of cooling tower theory. Cooling Tower Inst J. 1991;12:2:8–26.Suche in Google Scholar

[6] Jaber H, Webb R. Design of cooling towers by the effectiveness-NTU method. J Heat Transfer. 1989;111:4:837.10.1115/1.3250794Suche in Google Scholar

[7] Berman L. Evaporative cooling of circulating water. New York: Pergamon Press, 1961:90–99.Suche in Google Scholar

[8] Hajidavalloo E, Shakeri R, Mehrabian M. Thermal performance of cross flow cooling towers in variable wet bulb temperature. Energy Conver Manag. 2010;51(6):1298–1303.10.1016/j.enconman.2010.01.005Suche in Google Scholar

[9] Poppe M, Rogener H. Berechnung von ruckkuhlwerken. VDI-Warmeatlas. 1991;111:1–15.Suche in Google Scholar

[10] Kloppers J, Kroger D. Cooling tower performance, merkel, poppe, a critical evaluation of merkel assumptions. R&D J SAIMechE. 2005a;20:1:6–10.Suche in Google Scholar

[11] Khan J, Yaqub M, Zubair S. Performance characteristics of counter flow wet cooling towers. Energy Conver Manag. 2003;44(13):2073–2091.10.1016/S0196-8904(02)00231-5Suche in Google Scholar

[12] Kloppers J. A critical evaluation and refinement of the performance prediction of wet-cooling towers. PhD Thesis. University of Stellenbosch, 2003.Suche in Google Scholar

[13] Kloppers J, Kroger D. A critical investigation into the heat and mass transfer analysis of counterflow wet-cooling towers. Int J Heat Mass Transf. 2005b;48(3–4):765–777.10.1016/j.ijheatmasstransfer.2004.09.004Suche in Google Scholar

[14] Yang X, Sun F, Wang K, Shi Y, Wang N. Numerical simulation of flow fields in a natural draft wet-cooling tower. J Hydrody, Ser B. 2007;19(6):762–768.10.1016/S1001-6058(08)60015-3Suche in Google Scholar

[15] Lemouari M, Boumaza M, Kaabi A. Experimental analysis of heat and mass transfer phenomena in a direct contact evaporative cooling tower. Energy Conver Manag. 2009;50(6):1610–1617.10.1016/j.enconman.2009.02.002Suche in Google Scholar

[16] Klimanek A. Numerical modelling of natural draft wet-cooling towers. Arch Computational Methods Eng. 2013;20:1:61–109.10.1007/s11831-013-9081-9Suche in Google Scholar

[17] Gao M, Shi Y, Wang N, Zhao Y, Sun F. Artificial neural network model research on effects of cross-wind to performance parameters of wet cooling tower based on level froude number. Appl Thermal Eng. 2013;51(1–2):1226–1234.10.1016/j.applthermaleng.2012.06.053Suche in Google Scholar

[18] Nasrabadi M, Finn D. Mathematical modeling of a low temperature low approach direct cooling tower for the provision of high temperature chilled water for conditioning of building spaces. Appl Thermal Eng. 2014;64(1–2):273–282.10.1016/j.applthermaleng.2013.12.025Suche in Google Scholar

[19] Shah P, Tailor N. Merkel’s method for designing induced draft cooling tower. Int J Adv Res Eng Technol. 2015;6:2:63–70.Suche in Google Scholar

[20] Llano-Restrepo M, Monsalve-Reyes R. Modeling and simulation of counterflow wet-cooling towers and the accurate calculation and correlation of mass transfer coefficients for thermal performance prediction. Int J Refrigeration. 2017;74:47–72.10.1016/j.ijrefrig.2016.10.018Suche in Google Scholar

[21] Osterle F. On the analysis of counter-flow cooling towers. Int J Heat Mass Transf. 1991;34(4–5):1313–1316.10.1016/0017-9310(91)90040-LSuche in Google Scholar

[22] Martín M, Martín M. Cooling limitations in power plants: optimal multiperiod design of natural draft cooling towers. Energy. 2017;135:625–636.10.1016/j.energy.2017.06.171Suche in Google Scholar

[23] Bosnjakovic F. Technical Thermodynamics. New York: Holt, Rinehart and Winston, 1965.Suche in Google Scholar

[24] Process System Enterprise Ltd. GPROMS introductory user guide. London: Process System Enterprise Ltd, 2001.Suche in Google Scholar

[25] Klimanek A, Białecki R. Solution of heat and mass transfer in counterflow wet-cooling tower fills. Int Commu Heat Mass Transfer. 2009;36(6):547–553.10.1016/j.icheatmasstransfer.2009.03.007Suche in Google Scholar

[26] Panjeshahi M, Ataei A, Gharaie M, Parand R. Optimum design of cooling water systems for energy and water conservation. Chem Eng Res Des. 2009;87(2):200–209.10.1016/j.cherd.2008.08.004Suche in Google Scholar

[27] Lemouari M, Boumaza M, Mujtaba IM. Thermal performances investigation of a wet cooling tower. Appl Thermal Eng. 2007;27(5–6):902–909.10.1016/j.applthermaleng.2006.08.014Suche in Google Scholar

[28] Gharagheizi F, Hayati R, Fatemi S. Experimental study on the performance of mechanical cooling tower with two types of film packing. Energy Conver Manag. 2007;48(1):277–280.10.1016/j.enconman.2006.04.002Suche in Google Scholar

[29] KröGer D. Air-cooled heat exchangers and cooling towers. 1st ed. Tulsa: PennWell Corporation, 2004.Suche in Google Scholar

Appendix

Thermophysical properties

The following thermophysical properties used in this work was obtained from Kroger [29]. All temperatures are evaluated in degrees Kelvin.

Specific heat of dry air:

(36)Cpa=1.045356E33.161783E1×T+7.083814E4×T22.705209E7×T3

Saturation water vapour pressure:

(37)Ps=10z
(38)z=10.795861273.16T+5.02808LOG10273.16T\hfill+0.0001504741108.29692T273.161+0.00042873104.769551273.16T1\hfill+2.786118312\hfill

Specific heat of water vapour:

(39)Cpv=1.3605E3+2.31334×T2.46784E10×Ta5+5.91332E13×Ta6

Specific heat of saturated liquid water:

(40)Cpw=8.15599E32.80627×10×T+5.11283E2×T22.17582E13×T6

Saturation humidity ratio:

(41)Xs=0.622×PsPPs
Received: 2017-11-09
Revised: 2018-03-05
Accepted: 2018-03-05
Published Online: 2018-04-12

© 2018 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 30.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/cppm-2017-0078/pdf
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