Some aspects of plate number estimation of plate heat exchangers (PHEs). A case study

A. Szép; Cs. D. András

doi:10.2478/ausal-2021-0008

Abstract

For the proper estimation of the plate number (N) of a plate heat exchanger (PHE) – in addition to the flow rates and thermophysical properties of fluids –, an appropriate correlation is needed for convective heat transfer coefficient (α) calculation. When one does not have a criterial equation for the corresponding plate shape, we propose a selecting method for α. With the suggested relationships from literature, we calculate the plate number of a geometrically known, similar heat duty PHE and choose those relationships that give the same plate number with the known heat exchanger. In our case study, the plate number determined by any of the screened equations for whole milk preheating has almost the same value (n = 10 ± 1) regardless of the method used to solve the PHE model (plate efficiency and N_converg or K_converg convergence methods). For liquids’ thermophysical property estimation, we recommend averaging the values given by equations from literature, followed by equation fitting.

References

[1] Apetrei, I., Ciocan, M. E., Simion, A. I., Gavrilă, L., Modelling of the thermo-physical properties of milk II. Thermal capacity and thermal conductivity. Annals of DAAAM for 2002 & Proceedings of the 13th International DAAAM Symposium “Intelligent Manufacturing & Automatisation: Learning From Nature” Confe rence. 23–26 October 2002, Vienna, Austria. (2002) 15–16.
Search in Google Scholar Back to article
[2] Bakshi, A. S., Smith, D. E., Effect of fat content and temperature on viscosity in relation of pumping requirements of fluid milk products. Journal of Dairy Science, 67. (1984) 1157–1160.10.3168/jds.S0022-0302(84)81417-4
Search in Google Scholar Back to article
[3] Bertsch, A. J., Cerf, O., Dynamic viscosities of milk and cream from 70 to 135 °C. Journal of Dairy Research, 50. (1983) 193–200.10.1017/S0022029900022998
Search in Google Scholar Back to article
[4] Bon, J., Clemente, G., Vaquiro, H., Mulet, A., Simulation and optimization of milk pasteurization processes using a general process simulator (ProSimPlus). Computers and Chemical Engineering, 34. (2010) 414–420.10.1016/j.compchemeng.2009.11.013
Search in Google Scholar Back to article
[5] Buonopane, R. A., Troupe, R. A., Morgan, A., Heat transfer design method for plate heat exchangers. Chemical Engineering Progress, 59. (1963) 57–61.
Search in Google Scholar Back to article
[6] Chisholm, D., Wanniarachchi, A. S., Maldistribution in single-pass mixed-channel plate heat exchangers. Compact Heat Exchangers for Power and Process Industries. HTD ASME, 201. (1999) 95–99.
Search in Google Scholar Back to article
[7] Choi, Y., Okos, M., Effects of temperature and composition on the thermal properties of foods. Food Engineering Process Applications, 1. (1986) 93–101.
Search in Google Scholar Back to article
[8] Dvorák, V., Vit, T., CAE methods for plate heat exchanger design. Energie Procedia, 134. (2017) 234–243.10.1016/j.egypro.2017.09.613
Search in Google Scholar Back to article
[9] Ezgi, C., Basic design methods of heat exchangers. In: Murshed Sohel, M. S., Lopes, M. M. (eds.), Heat exchangers design, experiments and simulation. IntechOpen. (2017).
Search in Google Scholar Back to article
[10] Fernandez-Martin, F., Influence of temperature and composition on some physical properties of milk and milk concentrates. I. Heat capacity. Journal of Dairy Research, 39. 1. (1972) 65–73.10.1017/S0022029900013856
Search in Google Scholar Back to article
[11] Fernández-Martín, F., Influence of temperature and composition on some physical properties of milk and milk concentrates II. Viscosity. Journal of Dairy Research, 39. 1. (1972) 75–82.10.1017/S0022029900013868
Search in Google Scholar Back to article
[12] Focke, W. W., Zachariades, J., Olivier, I., The effect of corrugation inclination angle on the thermohydraulic performance of heat plate exchangers. International Journal of Heat and Mass Transfer, 28. 8. (1985) 1469–1479.10.1016/0017-9310(85)90249-2
Search in Google Scholar Back to article
[13] Fonyó Zs., Fábry Z., Vegyipari művelettani alapismeretek. Budapest: Nemzeti Tankönyvkiadó. (2004) 404.
Search in Google Scholar Back to article
[14] Ganea, G., Cojoc, D., Utilaj tehnologic în industria alimentară. Chisinău, Editura Tehnică. (2011) 6–11.
Search in Google Scholar Back to article
[15] Gavrilă, L., Simion, A., Apetre, I., Modelling of the thermophysical properties of milk I. Density and viscosity. Annals of DAAAM for 2002 & Proceedings of the 13th International DAAAM Symposium “Intelligent Manufacturing & Automatisation: Learning From Nature” Conference, 23–26 October 2002, Vienna, Austria. 179–180.
Search in Google Scholar Back to article
[16] Gulenoglu, G., Akturk, F., Aradag, S., Sezer, N., Kakaç, S., Experimental comparison of performances of three different plates for gasketed plate heat exchangers. International Journal of Thermal Sciences, 75. (2014) 249–256.10.1016/j.ijthermalsci.2013.06.012
Search in Google Scholar Back to article
[17] Gut, J. A. W., Fernandes, R., Pinto, J. M., Tadini, C. C., Thermal model validation of plate heat exchanger with generalized configuration. Chemical Engineering Science, 59. (2004) 4591–4600.10.1016/j.ces.2004.07.025
Search in Google Scholar Back to article
[18] Haslego, C., Polley, G., Designing plate-and-frame heat exchangers. Chemical Engineering Progress, 9. (2002) 32–37.
Search in Google Scholar Back to article
[19] Heavner, R. L., Kumar, H., Wanniarachchi, A. S., Performance of an industrial plate heat exchanger: Effect of chevron angle. AICHE Symposium Series, 89. (1993) 262–267, 295.
Search in Google Scholar Back to article
[20] Heldman, R. D., Fundamentals of Food Process Engineering. 3rd ed., New York, Springer Science. (2007) 223–238.
Search in Google Scholar Back to article
[21] Heldman, R. D., Singh, R. P., Food Process Engineering. 2nd ed., Westport, AVI Publishing. (1981).10.1007/978-94-010-9337-8
Search in Google Scholar Back to article
[22] Hu, J., Sari, O., Eicher, S., Rakotozanakajy, R. A., Determination of specific heat of milk at different fat content between 1 and 59 °C using micro DSC. Journal of Food Engineering, 90. (2009) 395–399.10.1016/j.jfoodeng.2008.07.009
Search in Google Scholar Back to article
[23] Hwang, C. H., Gunasekaran, S., Specific heat capacity. In: Heldman, D. R., Moraru, Carmen I. (eds.), Encyclopedia of Agricultural, Food, and Biological Engineering. New York, Marcel Dekker. (2003) 1572–1580.
Search in Google Scholar Back to article
[24] Jackson, B. W., Troupe, R. A., Plate heat exchanger design by ε -NTU method. Chemical Engineering Progress Symposium Series, 62. (1966) 185–190.
Search in Google Scholar Back to article
[25] Kakaç, S., Hongtan, L., Pramuanjaroenkij, A., Heat exchangers: Selection, rating and thermal design, 4th ed. Boca Raton, CRC Press. (2020).10.1201/9780429469862
Search in Google Scholar Back to article
[26] Kakaç, S., Liu, H. Heat exchangers: Selection, rating and thermal design. 2nd ed. Boca Raton, CRC Press. (2002) 394.
Search in Google Scholar Back to article
[27] Kessler, H. G., Food and bio process engineering: Dairy technology. Münich, Verlag Kessler. (2002).
Search in Google Scholar Back to article
[28] Kreith, F. Mechanical engineering handbook. Boca Raton, CRC Press. (1999).10.1201/NOE0849397516
Search in Google Scholar Back to article
[29] Kumar, H., The plate heat exchanger: Construction and design. 1st UK National Conference of Heat Transfer, 86. (1984) 1275–1286.
Search in Google Scholar Back to article
[30] Lewis, M. J., Physical properties of foods and food processing systems. Cambridge, Woodhead Publishing. (2006).
Search in Google Scholar Back to article
[31] Macovei, V., Calcule de operaţii şi utilaje pentru precesarea termică şi biochimică în biotehnologie. Galaţi, Editura Alma. (2001) 59.
Search in Google Scholar Back to article
[32] Madoumier, M., Azzaro-Pantel, C., Tanguy, G., Gésan-Guiziou, G., Modelling the properties of liquid foods for use of process flowsheeting simulators: Application to milk concentration. Journal of Food Engineering, 164. (2015) 70–89.
Search in Google Scholar Back to article
[33] Mariott, J., Where and how to use plate heat exchangers. Chemical Engineering, 78. 8. (1971) 127–133.
Search in Google Scholar Back to article
[34] Maroulis, Z. B., Saravacos, G. D., Food process design. New York, Marcel Dekker. (2003).10.1201/9780203912010
Search in Google Scholar Back to article
[35] McCarthy, O. J., Singh, H., Physico-chemical properties of milk. In: McSweeney, P., Fox, P. (eds.), Advanced dairy chemistry. Volume 3: Lactose, water, salts, and minor constituents. New York, Springer. (1980) 707–758.
Search in Google Scholar Back to article
[36] Minim, L. A., Coimbra, J. S. R., Minim, V. P. R., Telis-Romero, J., Influence of temperature and water and fat contents on the thermophysical properties of milk. Journal of Chemical Engineering Data, 47. (2002) 1488–1491.10.1021/je025546a
Search in Google Scholar Back to article
[37] More, G. R., Prasad, S., Thermal conductivity of concentrated whole milk. Journal of Food Process Engineering, 10. 2. (1988) 105–112.10.1111/j.1745-4530.1988.tb00007.x
Search in Google Scholar Back to article
[38] Morison, K. R., Phelan, J. P., Bloore, C. G., Viscosity and non-Newtonian behavior of concentrated milk and cream. International Journal of Food Properties, 16. (2013) 882–894.,10.1080/10942912.2011.573113
Search in Google Scholar Back to article
[39] Mota, F. A. S., Carvalho, E. P., Ravagnani, M. A. S. S., Modeling and design of plate heat exchanger. In: Kazi, S. N. (ed.), Heat transfer studies and applications. IntechOpen. (2015) 165–199.
Search in Google Scholar Back to article
[40] Muley, A., Manglik, R. M., Enhanced heat transfer characteristics of single-phase flows in a plate heat exchanger with mixed Chevron plates. Journal of Enhanced Heat Transfer, 4. 3. (1997) 187–201.10.1615/JEnhHeatTransf.v4.i3.30
Search in Google Scholar Back to article
[41] Muley, A., Manglik, R. M., Experimental study of turbulent flow heat transfer and pressure drop in a plate heat exchanger with chevron plates. Journal of Heat Transfer, 121. (1999) 110–117.10.1115/1.2825923
Search in Google Scholar Back to article
[42] Munir, M. T., Yu, Z., Wilson, D. I., Young, B. R., Virtual milk for modelling and simulation of dairy processes. Journal Dairy Science, 99. (2016) 3380–3395.10.3168/jds.2015-1044926971156
Search in Google Scholar Back to article
[43] Neagu, A. A., Koncsag, C., Bărbulescu, A., Botez, E., Calculation methods for gasket plate heat exchangers used in vegetable oil manufacture. Revista de Chimie, 66. 9. (2014) 1503–1509.
Search in Google Scholar Back to article
[44] Okada, K. Ono, M., Tominura, T., Konno, H., Ohtani, S., Design and heat transfer characteristics of new plate heat exchanger. Heat Transfer – Japanese Research, 1. 1. (1972) 90–95.
Search in Google Scholar Back to article
[45] Phipps, L. W., The interrelationship of the viscosity, fat content and temperature of cream between 40 and 80 °C. Journal of Dairy Research, 36. (1969) 417–426.10.1017/S0022029900012930
Search in Google Scholar Back to article
[46] Rao, M. A., Rizvi, S. S. H., Datta, A. K., Engineering properties of foods. Boca Raton, CRC Press. (2005).
Search in Google Scholar Back to article
[47] Riedel, L., Thermal conductivity measurements on sugar solution, fruit juice and milk. Chemie Ingenieur Technik, 21. 17. (1949) 340–341.10.1002/cite.330211706
Search in Google Scholar Back to article
[48] Roetzel, W., Luo, X., Chen, D. Design and operation of heat exchangers and their networks. London, Elsevier Academic Press. (2020).10.1016/B978-0-12-817894-2.00005-4
Search in Google Scholar Back to article
[49] Rohm, H., Müller, A., Hend-Milnera, I., Effect of composition of raw milk viscosity. Milchwissenschaft, 51. (1996) 259–261.
Search in Google Scholar Back to article
[50] Shah, R. K., Sekulić, D. P., Fundamentals of heat exchanger design. Hoboken, Wiley. (2002).10.1002/9780470172605
Search in Google Scholar Back to article
[51] Singh, P. R., Heldman, D. R., Introduction to Food Engineering. 5th ed. Amsterdam, Elsevier-Academic Press. (2013).
Search in Google Scholar Back to article
[52] Stephan, P. (ed.), VDI Heat Atlas. Berlin–Heidelberg, Springer-Verlag. (2010).
Search in Google Scholar Back to article
[53] Stoica, A., Stroescu, M., Dobre, T., Floarea, O., Operaţii termice in industria alimentară. Bucharest: Politehnica Press. (2007) 184.
Search in Google Scholar Back to article
[54] Thulukkanam, K., Heat exchanger thermal design. In: Thulukkanam, K., Heat exchanger design handbook, 2nd ed. Boca Raton, CRC Press. (2013) 117–144.
Search in Google Scholar Back to article
[55] Thulukkanam, K., Plate heat exchangers and spiral plate heat exchangers. In: Thulukkanam, K., Heat exchanger design handbook. 2nd ed. Boca Raton, CRC Press. (2013) 393–432.
Search in Google Scholar Back to article
[56] Wang, L., Sunden, B., Manglik, R. M., Plate heat exchangers: Design, applications and performance. Southampton–Boston, WIT Press. (2007).
Search in Google Scholar Back to article
[57] Watson, P. D., Tittsler, R. P., Densité du lait aux bases températures. Journal of Dairy Science, 44. 416–424. (1961).10.3168/jds.S0022-0302(61)89758-0
Search in Google Scholar Back to article
[58] Wright, A. D., Heggs, P. J., Calculation of new plate heat exchanger effectiveness and pressure drop using existing performance data. Chemical Engineering Research and Design, 4. (2002) 1–9.
Search in Google Scholar Back to article

Some aspects of plate number estimation of plate heat exchangers (PHEs). A case study

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