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Recent advances in design and performance optimization of pillow-plate heat exchangers: a critical review

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Abstract

Over the last two decades, extensive research has been dedicated to the crisis stemming from fossil fuel usage and its environmental repercussions. This pressing concern has garnered substantial attention due to its potential to disrupt ecological equilibrium and sustainability. Pursuing more efficient and sustainable solutions in the heat exchangers realm has catalyzed the development and optimization of innovative designs, notably pillow-plate heat exchangers (PPHEs). These next-generation heat exchangers offer improved compactness and reduced material requirements, effectively tackling mounting concerns related to energy and resource consumption. Integrating such advancements can mitigate the adverse environmental impact, fostering a greener and more sustainable future. This paper presents an exhaustive review of recent progress in PPHE design and optimization, emphasizing their potential for widespread application across diverse industries. These innovative heat exchangers feature sleek, pillow-like channels, offering exceptional heat transfer capabilities and minimal pressure drops. These attributes position PPHEs as a compelling and eco-conscious alternative to traditional heat exchangers. Nevertheless, the intricate geometries of PPHEs pose challenges for comprehensive research, and existing studies underscore the limited number and scope of their industrial applications. This manuscript thoroughly examines the critical facets of the literature related to various aspects of PPHEs, encompassing manufacturing processes, thermohydraulic channel characteristics, design algorithms, and cost assessments. By meticulously identifying and emphasizing critical research gaps, this work not only underscores the need for further investigation but also sets the stage for future studies to enhance the reliability and performance of PPHEs as a heat transfer equipment solution.

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References

  1. Mitrovic J, Peterson R. Vapor condensation heat transfer in a thermoplate heat exchanger. Chem Eng Technol. 2007;30(7):907–19. https://doi.org/10.1002/ceat.200700082.

    Article  CAS  Google Scholar 

  2. Tran JM, Piper M, Kenig EY, Scholl S. Pillow-plate heat exchangers: fundamental characteristics. In: Bart HJ, Scholl S, editors. Innovative heat exchangers. Cham: Springer; 2018. pp. 233–45. doi https://doi.org/10.1007/978-3-319-71641-1_7

  3. Piper M, Zibart A, Tran JM, Kenig EY., A numerical study on turbulent single-phase flow and heat transfer in pillow plates. In: 15th international heat transfer conference (IHTC15), Kyoto, Japan, 10–15 August; 2014. pp. 3591–602. https://doi.org/10.1615/IHTC15.hex.008929

  4. Dutka K. Laser welded pillow plate panels for austenitic steel tanks. Weld Int. 2012;26(9):692–6. https://doi.org/10.1080/09507116.2011.590697.

    Article  Google Scholar 

  5. Maletic B. Modelling and numerical simulation of fluid flow and heat transfer in thermoplates. Paderborn: University of Paderborn; 2009.

    Google Scholar 

  6. Zibart A, Kenig EY. Numerical investigation of conjugate heat transfer in a pillow-plate heat exchanger. Int J Heat Mass Transf. 2021;165:120567. https://doi.org/10.1016/j.ijheatmasstransfer.2020.120567.

    Article  Google Scholar 

  7. Guo Y, Qiu C, Xu M, Zhang W, Yan X, Li L. Crack failure analysis of laser 316L stainless steel edge joints in pillow plate heat exchanger used in oil refinery. Eng Fail Anal. 2021;122:105215. https://doi.org/10.1016/j.engfailanal.2021.105215.

    Article  CAS  Google Scholar 

  8. Eldeeb R, Aute V, Radermacher R. Investigation of thermal-hydraulic characteristics of pillow plate heat exchangers using CFD. In: 16th international refrigeration and air conditioning conference, Purdue, USA, 11–14 July; 2016. http://docs.lib.purdue.edu/iracc/1683

  9. https://www.scopus.com. Accessed 30 Aug 2023.

  10. https://scholar.google.com. Accessed 30 Aug 2023.

  11. Arsenyeva OP, Tran JM, Piper M, Kenig EY. An approach for pillow plate heat exchangers design for single-phase applications. Appl Therm Eng. 2019;147:579–91. https://doi.org/10.1016/j.applthermaleng.2018.08.083.

    Article  Google Scholar 

  12. Klemes JJ, Arsenyeva O, Kapustenko P, Tovazhnyanskyy L. Compact heat exchangers for energy transfer intensification: low grade heat and fouling mitigation. Boca Raton: CRC Press; 2015. pp. 72–93. https://doi.org/10.1201/b18862

  13. Maletic B, Mitrovic J, Influence of the thermoplate geometry on the heat transfer. In: 5th European thermal-sciences conference - Eurotherm 2008, Eindhoven, The Netherlands, 18–22 May; 2008.

  14. Tran JM, Sommerfeld S, Piper M, Kenig EY. Investigation of pillow-plate condensers for the application in distillation columns. Chem Eng Res Des. 2015;99:67–74. https://doi.org/10.1016/j.cherd.2015.03.031.

    Article  CAS  Google Scholar 

  15. Djakow E, Springer R, Homberg W, Piper M, Tran J, Zibart A, Kenig E. Incremental electrohydraulic forming - a new approach for the manufacture of structured multifunctional sheet metal blanks. AIP Con Proc. 2017;1896(1):080003. https://doi.org/10.1063/1.5008083.

    Article  Google Scholar 

  16. Zibart A, Spang B, Kenig EY. Determination of the burst pressure of pillow plates using finite element methods. Comput Aided Chem Eng. 2022;51:127–32. https://doi.org/10.1016/B978-0-323-95879-0.50022-9.

    Article  CAS  Google Scholar 

  17. Khalil I, Hayes R, Pratt Q, Spitler C, Codd D. Experimental and numerical modeling of heat transfer in directed thermoplates. Int J Heat Mass Transf. 2018;123:89–96. https://doi.org/10.1016/j.ijheatmasstransfer.2018.02.093.

    Article  Google Scholar 

  18. Khalil I, Pratt Q, Spitler C, Codd D. Modeling a thermoplate conical heat exchanger in a point focus solar thermal collector. Int J Heat Mass Transf. 2019;130:1–8. https://doi.org/10.1016/j.ijheatmasstransfer.2018.10.041.

    Article  Google Scholar 

  19. https://lob-gmbh.de/en/. Accessed 30 Aug 2023.

  20. Piper M, Olenberg A, Tran JM, Goedecke R, Scholl S, Kenig EY. Determination of characteristic geometrical parameters for the design of pillow-plate heat exchangers. Chem Ing Tech. 2014;86(6):1214–22. https://doi.org/10.1002/cite.201300159.

    Article  CAS  Google Scholar 

  21. Piper M, Olenberg A, Tran JM, Kenig EY. Determination of the geometric design parameters of pillow-plate heat exchangers. Appl Therm Eng. 2015;91:1168–75. https://doi.org/10.1016/j.applthermaleng.2015.08.097.

    Article  Google Scholar 

  22. Selvnes H, Hafner A, Kauko H. Design of a cold thermal energy storage unit for industrial applications using CO2 as refrigerant. In: proceedings of the 25th IIR international congress of refrigeration, Montréal, Canada, 24–30 August; 2019. pp. 1879–86. https://doi.org/10.18462/iir.icr.2019.0139

  23. Hesselgreaves JH. Compact heat exchangers: selection, design and operation. 2nd ed. London: Elsevier Science & Technology; 2016.

    Google Scholar 

  24. Mitrovic J, Maletic B. Numerical simulation of fluid flow and heat transfer in thermoplates. In: 13th international heat transfer conference (IHTC13), Sydney, Australia, 13–18 August; 2006. https://doi.org/10.1615/IHTC13.p18.100

  25. Mitrovic J, Maletic B. Numerical simulation of fluid flow, heat transfer and pressure drop in thermoplates. In: 5th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT2007), Sun City, South Africa, 1–4 July; 2007.

  26. Mitrovic J, Peterson R. Study of single-phase convection and condensation in thermoplate heat exchanger (Part I). In: 5th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT2007), Sun City, South Africa, 1–4 July; 2007.

  27. Mitrovic J, Peterson R. Study of single-phase convection and condensation in thermoplate heat exchanger (Part II). In: 5th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT2007), Sun City, South Africa, 1–4 July; 2007.

  28. Mitrovic J, Maletic B. Numerical simulation of fluid flow and heat transfer in thermoplates. Chem Eng Technol. 2011;34(9):1439–48. https://doi.org/10.1002/ceat.201100271.

    Article  CAS  Google Scholar 

  29. Piper M, Zibart A, Tran JM, Kenig EY. Numerical investigation of turbulent forced convection heat transfer in pillow plates. Int J Heat Mass Transf. 2016;94:516–27. https://doi.org/10.1016/j.ijheatmasstransfer.2015.11.014.

    Article  Google Scholar 

  30. Eldeeb R, Ling J, Aute VC, Radermacher R. Heat transfer enhancement using approximation assisted optimization for pillow plate heat exchangers. In: 17th international refrigeration and air conditioning conference, Purdue, USA, 9–12 July; 2018. https://docs.lib.purdue.edu/iracc/2054

  31. Eldeeb R, Ling J, Aute, VC, Radermacher R. Weld shape optimization for pillow plate heat exchangers. In: 17th international refrigeration and air conditioning conference, Purdue, USA, 9–12 July; 2018. https://docs.lib.purdue.edu/iracc/2055

  32. Kumar S, Premachandran B, Subbarao PMV. Study on thermos-hydraulics in a pillow plate channel. Int J Therm Sci. 2019;145:106020. https://doi.org/10.1016/j.ijthermalsci.2019.106020.

    Article  Google Scholar 

  33. Goedecke R, Scholl S. Enlarged operation ranges for thermosiphon reboilers using thermoplates. In: Book of full papers - 10th international conference on distillation and absorption, Friedrichshafen, Germany, 14–17 September; 2014. pp. 63–8.

  34. Goedeck R, Scholl S. Experimental investigation of a pillow-plate heat exchanger as thermosyphon reboiler. Chem Ing Tech. 2015;87(3):244–52. https://doi.org/10.1002/cite.201400061.

    Article  CAS  Google Scholar 

  35. Goedecke R, Scholl S. Enlarged operation ranges for thermosiphon reboilers using pillow plates. Chem Eng Res Des. 2015;99:58–66. https://doi.org/10.1016/j.cherd.2015.05.037.

    Article  CAS  Google Scholar 

  36. Tran JM, Piper M, Kenig EY. Experimental investigation of convective heat transfer and pressure drop in pillow plates under single-phase through-flow conditions. Chem Ing Tech. 2015;87(3):226–34. https://doi.org/10.1002/cite.201400140.

    Article  CAS  Google Scholar 

  37. Piper M, Wecker C, Olenberg A, Tran J, Kenig EY. An experimental analysis of the topology and dynamics of a falling liquid film over the wavy surface of a vertical pillow plate. Chem Eng Sci. 2015;130:129–34. https://doi.org/10.1016/j.ces.2015.03.005.

    Article  CAS  Google Scholar 

  38. Siebeneck K, Popov W, Stefanak T, Scholl S. Pillow plate heat exchangers-investigation of flow characteristics and wetting behavior at single-flow conditions. Chem Ing Tech. 2015;87(3):235–43. https://doi.org/10.1002/cite.201400055.

    Article  CAS  Google Scholar 

  39. Rekstad IH, Eikevik TM, Jenssen S. Dimple plate heat exchangers for a seawater chiller using CO2 as refrigerant, design and testing. In: Proceedings of the 24th IIR international congress of refrigeration, Yokohama, Japan, 16–22 August; 2015. https://doi.org/10.18462/iir.icr.2015.0502

  40. Rekstad IH, Ladam Y. Evaluation of different evaporator and condenser concepts in sea water chillers using CO2 as refrigerant. In: Proceedings of the 12th IIR Gustav Lorentzen conference on natural refrigerants (GL2016), Edinburgh, United Kingdom, 21–24 August; 2016. https://doi.org/10.18462/iir.gl.2016.1119

  41. Tran JM, Linnemann M, Piper M, Kenig EY. On the coupled condensation-evaporation in pillow-plate condensers: investigation of cooling medium evaporation. Appl Therm Eng. 2017;124:1471–80. https://doi.org/10.1016/j.applthermaleng.2017.06.050.

    Article  CAS  Google Scholar 

  42. Kandlikar SG. A general correlation for saturated two-phase flow boiling heat transfer inside horizontal and vertical tubes. ASME J Heat Transf. 1990;112(1):219–28. https://doi.org/10.1115/1.2910348.

    Article  CAS  Google Scholar 

  43. Goedecke R. Naturumlaufverdampfung in Einem Kissenplattenapparat. Göttingen: Technische Universität Braunschweig; 2017.

    Google Scholar 

  44. Zhang C, Wang D, Han Y, Zhu Y, Peng X. Experimental and numerical investigation on the exergy and entransy performance of a novel plate heat exchanger. Exp Heat Transf. 2017;30(2):162–77. https://doi.org/10.1080/08916152.2016.1179358.

    Article  CAS  Google Scholar 

  45. Arsenyeva OP, Piper M, Zibart A, Olenberg A, Kenig EY. Heat transfer and pressure loss in small-scale pillow-plate heat exchangers. Chem Eng Trans. 2018;70:799–804. https://doi.org/10.3303/CET1870134.

    Article  Google Scholar 

  46. Arsenyeva OP, Zibart A, Tran JM, Piper M, Kenig EY, Kapustenko PO. Friction factor correlation in small-scale pillow-plate heat exchangers for low-grade heat utilization. In: 12th conference on sustainable development of energy, water and environmental systems (SDEWES), Dubrovnik, Croatia, 4–8 October; 2017.

  47. Churchill SW. Friction factor equation spans all fluid flow regimes. Chem Eng J. 1977;84(24):91–2.

    Google Scholar 

  48. Arsenyeva OP, Tran JM, Kenig EY. Thermal and hydraulic performance of pillow-plate heat exchangers. Comput Aided Chem Eng. 2018;43:181–6. https://doi.org/10.1016/B978-0-444-64235-6.50033-4.

    Article  CAS  Google Scholar 

  49. Arsenyeva OP. The hydraulic resistance in the small-scale pillow-plate heat exchangers. In: 2nd international scientific conference of chemical technology and engineering, Lviv, Ukraine, 24–28; 2019.

  50. Arsenyeva OP, Piper M, Zibart A, Olenberg A, Kenig EY. Investigation of heat transfer and hydraulic resistance in small-scale pillow-plate heat exchangers. Energy. 2019;181:1213–24. https://doi.org/10.1016/j.energy.2019.05.099.

    Article  Google Scholar 

  51. Goedecke R, Scholl S. Modelling and simulation of a pillow plate thermosiphon reboiler. Heat Mass Transf. 2019;55:95–104. https://doi.org/10.1007/s00231-018-02543-4.

    Article  CAS  Google Scholar 

  52. Lin W, Zhang W, Ling Z, Fang X, Zhang Z. Experimental study of the thermal performance of a novel plate type heat exchanger with phase change material. Appl Therm Eng. 2020;178:115630. https://doi.org/10.1016/j.applthermaleng.2020.115630.

    Article  CAS  Google Scholar 

  53. Selvnes H, Büttner V, Hafner A. Evaluation of a pillow-plate heat exchanger for a pump-circulated CO2 refrigeration system. In: Proceedings of the 14th IIR Gustav Lorentzen conference on natural refrigerants (GL2020), Kyoto, Japan, 7–9 December; 2020. pp. 159–64. https://doi.org/10.18462/iir.gl.2020.1094

  54. Sevault A, Næss E. Active latent heat storage using biowax in a central heating system of a ZEB living lab. In: 14th IIR Gustav Lorentzen conference on natural refrigerants (GL2020), Kyoto, Japan, 7–9 December; 2020. pp. 555–60. https://doi.org/10.18462/iir.gl.2020.1146

  55. Sundermeier S, aus der Wiesche S. Experimental investigation of high-speed flows past pillow plates. In: Proceedings of the ASME 2021 international mechanical engineering congress and exposition - Volume 10: fluids engineering, Virtual, Online, 1–5 November; 2021. https://doi.org/10.1115/IMECE2021-70223

  56. Selvnes H, Allouche Y, Hafner A. Experimental characterisation of a cold thermal energy storage unit with a pillow-plate heat exchanger design. Appl Therm Eng. 2021;199:117507. https://doi.org/10.1016/j.applthermaleng.2021.117507.

    Article  CAS  Google Scholar 

  57. Selvnes H, Allouche Y, Hafner A. A cold thermal energy storage unit for CO2 refrigeration using phase change material: first experimental results. In: Proceedings of the 9th IIR conference on Ammonia and CO2 refrigeration technologies, Ohrid, North Macedonia, 16–17 September; 2021. pp. 169–78. https://doi.org/10.18462/iir.nh3-co2.2021.0021

  58. Sundermeier S, Passmann M, Aus der Wiesche S, Kenig EY. Flow in pillow-plate channels for high-speed turbomachinery heat exchangers. Int J Turbomach Propuls Power. 2022;7(12):1–13. https://doi.org/10.3390/ijtpp7020012.

    Article  Google Scholar 

  59. Piper M, Tran JM, Kenig EY. CFD study of fluid dynamics and heat transfer for single-phase flow in the wavy channel between pillow plates. Chem Ing Tech. 2015;87(3):216–25. https://doi.org/10.1002/cite.201400091.

    Article  CAS  Google Scholar 

  60. Shih TH, Liou WW, Shabbir A, Yang Z, Zhu J. A new k-ε eddy viscosity model for high Reynolds number turbulent flows. Comput Fluids. 1995;24(3):227–38. https://doi.org/10.1016/0045-7930(94)00032-T.

    Article  Google Scholar 

  61. Piper M, Tran JM, Kenig EY. A CFD study of the thermo-hydraulic characteristics of pillow-plate heat exchangers. In: Proceedings of the ASME 2016 heat transfer summer conference (HT2016), Washington, DC, USA, 10–14 July; 2016. https://doi.org/10.1115/HT2016-7176

  62. Billard F, Laurence D. A robust k-ε-v2/k elliptic blending turbulence model applied to near-wall, separated and buoyant flows. Int J Heat Fluid Flow. 2012;33(1):45–58. https://doi.org/10.1016/j.ijheatfluidflow.2011.11.003.

    Article  Google Scholar 

  63. Piper M, Zibart A, Kenig EY. New design equations for turbulent forced convection heat transfer and pressure loss in pillow-plate channels. Int J Therm Sci. 2017;120:459–68. https://doi.org/10.1016/j.ijthermalsci.2017.06.012.

    Article  Google Scholar 

  64. Vocciante M, Piper M, Zibart A, Kenig EY. Numerical evaluation of different turbulence models for single-phase flow in the outer pillow-plate channel. Comput Aided Chem Eng. 2018;43:397–402. https://doi.org/10.1016/B978-0-444-64235-6.50072-3.

    Article  CAS  Google Scholar 

  65. Kumar S, Premachandran B, Subbarao PMV. Numerical simulation of fluid flow and heat transfer in a pillow plate channel. In: 16th international heat transfer conference (IHTC16), Beijing, China, 10–15 August; 2018. pp. 3175–82. https://doi.org/10.1615/IHTC16.cov.024055

  66. Zibart A, Kenig EY. Falling liquid film flow over the wavy surface of vertical pillow plates - a numerical investigation. In: 16th international heat transfer conference (IHTC16), Beijing, China, 10–15 August; 2018. pp. 6575–82. https://doi.org/10.1615/IHTC16.mpf.024081

  67. Piper M, Zibart A, Djakow E, Springer R, Homberg W, Kenig EY. Heat transfer enhancement in pillow-plate heat exchangers with dimpled surfaces: a numerical study. Appl Therm Eng. 2019;153:142–6. https://doi.org/10.1016/j.applthermaleng.2019.02.082.

    Article  Google Scholar 

  68. Shirzad M, Aghajani Delavar M, Mousavi Ajarostaghi SS, Sedighi K. Evaluation the effects of geometrical parameters on the performance of pillow plate heat exchanger. Chem Eng Res Des. 2019;150:74–83. https://doi.org/10.1016/j.cherd.2019.06.032.

    Article  CAS  Google Scholar 

  69. Shirzad M, Mousavi Ajarostaghi SS, Aghajani Delavar M, Sedighi K. Improve the thermal performance of the pillow plate heat exchanger by using nanofluid: Numerical simulation. Adv Powder Technol. 2019;30:1356–65. https://doi.org/10.1016/j.apt.2019.04.011.

    Article  CAS  Google Scholar 

  70. Selvnes H, Allouche Y, Sevault A, Hafner A. A CFD analysis for the performance assessment of a novel design of plates-in-tank latent storage unit for freezing applications. In: Proceedings of the 8th conference on Ammonia and CO2 refrigeration technologies, Ohrid, North Macedonia, 11–13 April; 2019. pp. 303–10.

  71. Selvnes H, Allouche Y, Sevault A, Hafner A. CFD modeling of ice formation and melting in horizontally cooled and heated plates. In: Eurotherm seminar #112 - advances in thermal energy storage, Lleida, Spain, 15–17 May; 2019.

  72. Passmann M, aus der Wiesche S, Kenig EY. On the low and high speed flow of gases through pillow plate channels. In: Proceedings of the ASME-JSME-KSME 2019 joined fluids engineering conference - Volume 1: fluid mechanics, San Francisco, California, USA, 28 July-1 August; 2019. doi https://doi.org/10.1115/AJKFluids2019-4933

  73. Kumar S, Premachandran B, Subbarao PMV. Large eddy simulation of single-phase forced convection in pillow plate channel with periodic boundary conditions. Int J Heat Mass Transf. 2020;149:119176. https://doi.org/10.1016/j.ijheatmasstransfer.2019.119176.

    Article  Google Scholar 

  74. Eldeeb R, Aute V, Radermacher R. Pillow plate heat exchanger weld shape optimization using approximation and parallel parameterized CFD and nonuniform rational B-splines. Int J Refrig. 2020;110:121–31. https://doi.org/10.1016/j.ijrefrig.2019.10.024.

    Article  Google Scholar 

  75. Lardeau S, Billard F, Development of an elliptic-blending lag model for industrial applications. In: 54th AIAA aerospace sciences meeting 2016, San Diego, California, USA. 2016. doi https://doi.org/10.2514/6.2016-1600

  76. Al-Turki YA, Yarmohammadi A, Alizadeh A, Toghraie D. Numerical investigation of nanofluid flow and heat transfer in a pillow plate heat exchanger using a two-phase model: effects of the shape of the welding points used in the pillow plate. Z Angew Math Mech. 2021. https://doi.org/10.1002/zamm.202000300.

    Article  Google Scholar 

  77. Kumar S, Premachandran B, Subbarao PMV. Performance analysis of the pillow plate channel using artificial neural network. Int J Therm Sci. 2022;172:107275. https://doi.org/10.1016/j.ijthermalsci.2021.107275.

    Article  Google Scholar 

  78. Norouzi A, Sodagar-Abardeh J, Arabkoohsar A, Ismail KAR. Investigating thermo-hydraulic behavior of pillow plate heat exchangers using entropy generation approach. Chem Eng Process: Process Intensif. 2022;174:108887. https://doi.org/10.1016/j.cep.2022.108887.

    Article  CAS  Google Scholar 

  79. Ghasemi K, Tasnim S, Mahmud S. Second law analysis of pillow plate heat exchanger to enhance thermal performance and its simulation studies. Heat Mass Transf. 2023;59(3):55–66. https://doi.org/10.1007/s00231-022-03245-8.

    Article  CAS  Google Scholar 

  80. Tong Z, Yang Q, Tong S, Chen X. Two-stage thermal-hydraulic optimization for pillow plate heat exchanger with recirculation zone parameterization. Appl Therm Eng. 2022;215:119033. https://doi.org/10.1016/j.applthermaleng.2022.119033.

    Article  Google Scholar 

  81. Arsenyeva OP, Kapustenko PO, Vasilenko OA, Tran JM, Kenig EY, The estimation of heat transfer area of pillow-plate heat exchangers for water heating. Bicник HTУ «XПI». 2017; 41(1263):3–9

  82. Tran JM, Piper M, Kenig EY, Single-phase flow and condensation in pillow-plate condensers. In: Bart HJ, Scholl S, (Ed.) Innovative heat exchangers. Springer: Cham. 2018; pp. 247–65. doi https://doi.org/10.1007/978-3-319-71641-1_8

  83. Scholl S, Pillow plate heat exchangers as falling film evaporator or thermosiphon reboiler. In: Bart HJ, Scholl S (ed.) Innovative heat exchangers. Cham: Springer.2018; pp 267–94. doi https://doi.org/10.1007/978-3-319-71641-1_9

  84. Vocciante M, Kenig EY. Pillow-plate heat exchangers: an overview on advances, limitations, and prospects. Chem Eng Trans. 2021;88:865–70. https://doi.org/10.3303/CET2188144.

    Article  Google Scholar 

  85. Mastani Joybari M, Selvnes H, Sevault A, Hafner A. Potentials and challenges for pillow-plate heat exchangers: State-of-the-art review. Appl Therm Eng. 2022;214:118739. https://doi.org/10.1016/j.applthermaleng.2022.118739.

    Article  Google Scholar 

  86. Dittus FW, Boelter LMK. Heat transfer in automobile radiators of the tubular type. Univ Calif Publ Entomol. 1930;2(13):443–61.

    Google Scholar 

  87. Patankar SV, Liu CH, Sparrow EM. Fully developed flow and heat transfer in ducts having streamwise-periodic variations of cross-sectional area. ASME J Heat Transf. 1977;99(2):180–6. https://doi.org/10.1115/1.3450666.

    Article  Google Scholar 

  88. Menter FR. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J. 1994;32(8):1598–605. https://doi.org/10.2514/3.12149.

    Article  Google Scholar 

  89. Rodi W, Experience with two-layer models combining the k-ɛ model with a one-equation model near the wall. In: 29th Aerospace Sciences Meeting, Reno, NV, USA, 1991; 10: 1991. doi https://doi.org/10.2514/6.1991-216

  90. Wolfshtein M. The velocity and temperature distribution in one-dimensional flow with turbulence augmentation and pressure gradient. Int J Heat Mass Transf. 1969;12(3):301–18. https://doi.org/10.1016/0017-9310(69)90012-X.

    Article  Google Scholar 

  91. Webb RL. Performance evaluation criteria for use of enhanced heat transfer surfaces in heat exchanger design. Int J Heat Mass Transf. 1981;24(4):715–26. https://doi.org/10.1016/0017-9310(81)90015-6.

    Article  Google Scholar 

  92. Martin H. The generalized Lévêque equation and its practical use for the prediction of heat and mass transfer rates from pressure drop. Chem Eng Sci. 2002;57(16):3217–23. https://doi.org/10.1016/S0009-2509(02)00194-X.

    Article  CAS  Google Scholar 

  93. Petukhov BS. Heat transfer and friction in turbulent pipe flow with variable physical properties. Adv Heat Transf. 1970;6:503–64. https://doi.org/10.1016/S0065-2717(08)70153-9.

    Article  Google Scholar 

  94. Mastani Joybari M, Selvnes H, Vingelsgård E, Sevault A, Hafner A. Parametric study of low-temperature thermal energy storage using carbon dioxide as the phase change material in pillow plate heat exchangers. Appl Therm Eng. 2023;221:119796. https://doi.org/10.1016/j.applthermaleng.2022.119796.

    Article  CAS  Google Scholar 

  95. Sevault A, Vullum-Bruer F, Tranås OL. Active PCM-based thermal energy storage in buildings. In: Cabeza LF, editor. Encyclopedia of Energy Storage: Volume 1. Elsevier: NJ. 2022. pp. 453-69. doi https://doi.org/10.1016/B978-0-12-819723-3.00008-1

  96. Seider WD, Lewin DR, Seader JD, Widagdo S, Gani R, Ng KM. Product and process design principles: synthesis, analysis and evaluation. 4th ed. New York: Wiley; 2017.

    Google Scholar 

Download references

Acknowledgements

The current work is supported by computational resources provided by the Australian Government at the University of New South Wales under the National Computational Merit Allocation Scheme (NCMAS).

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AS, MG, J-LL, and MB contributed to conceptualization and writing—review and editing; AS was involved in methodology, formal analysis and investigation, and writing—original draft preparation; MG contributed to funding acquisition; and MG and J-LL were involved in supervision.

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Correspondence to Amirhossein Sabourishirazi.

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Sabourishirazi, A., Ghodrat, M., Liow, JL. et al. Recent advances in design and performance optimization of pillow-plate heat exchangers: a critical review. J Therm Anal Calorim 148, 13679–13707 (2023). https://doi.org/10.1007/s10973-023-12571-w

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