Analyzing And Optimizing The Convective Heat Transfer Coefficient Using Response Surface Methodology For Different Fluids In A Spiral Heat Exchanger
Keywords:
Spiral Heat Exchanger, Response Surface Methodology, Design of Experiment , OptimizationAbstract
This experimental work deals with the convective heat transfer coefficient (CHTC) optimization in spiral plate heat exchangers (SPHE) by the response surface modeling (RSM). Optimizations were performed utilizing Design of Experiments (DOE) as a product control and optimization tool in the industry. CHTC was optimized by employing different appropriate fluids. The effects of physical properties of fluids, including viscosity, density, and mass flow rate (MFR), on the convective heat transfer factor underwent investigations. The optimized results and the amount of heat power showed an excellent agreement with the SPHE formulation. The experimental results confirmed the direct proportional relationship between the fluid’s CHTC and the total heat transfer with its density and MFR, while there was an inverse proportional relationship with the fluid viscosity. Moreover, four semi-empirical linear equations for water, nitrobenzene, ethylene glycol, and oil were obtained from the regression table. The highest and lowest CHTC values were for water and Ethylene Glycol, respectively. As confirmed by the obtained optimal linear equation with the sum of the least squares (R2) with a <10% error and a high accuracy of 90%, the results from the RSM model were accurate.
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[1] Sabouri Shirazi A, Jafari Nasr M, Ghodrat M, 2020. Effects of temperature differences in optimization of
spiral plate heat exchangers. PIOS 4: 391-408. https://link.springer.com/article/10.1007/s41660-
020-00128-5
[2] Pradeep Mohan Kumar K, Vijayan V, Suresh Kumar B, et al., 2018. Computational analysis and optimization
of spiral plate heat exchanger. JAFM 11: 121-128. DIO: 10.36884/JAFM.11.SI.29428
[3] Azad AV, Amidpour M, 2011. Economic optimization of shell and tube heat exchanger based on constructal
theory. Energy 36: 1087-1096. https://doi.org/10.1016/j.energy.2010.11.041
[4] Moretta AA, 2010. Spiral plate heat exchangers: sizing units for cooling non-Newtonian slurries: this article
presents step-by-step guidance to demystify the sizing of these exchangers. Chem. Eng. 117: 44-50.
[5] Picón-Núñez M, Canizalez-Dávalos L, Martínez-Rodríguez G, et al., 2007. Shortcut design approach for
spiral heat exchangers. Food Bioproducts Processing 85: 322-327. https://doi.org/10.1205/fbp07073
[6] Kondhalkar G, Kapatkat V, 2012. Performance Analysis of Spiral Tube Heat Exchanger used in oil extraction
system. IJMER 2: 930-936.
[7] Naphon P, 2007. Thermal performance and pressure drop of the helical-coil heat exchangers with and
without helically crimped fins. ICHMT 34: 321-330.
https://doi.org/10.1016/j.icheatmasstransfer.2006.11.00
[8] Egner MW, Burmeister LC, 2005. Heat transfer for laminar flow in spiral ducts of rectangular cross section.
Heat Transfer 127: 352-356. https://doi.org/10.1115/1.1857950
[9] Burmeister LC, 2006. Effectiveness of a spiral-plate heat exchanger with equal capacitance rates.
https://doi.org/10.1115/1.2150839
[10] Rao KR., 1991. Optimal Synthesis of Shell and Tube Heat Exchangers.
[11] Minton P, 1970. Designing Spiral Plate Exchangers. Chem. Eng. Progr. 11: 103-112.
[12] Martin H, 1992. Heat Exchangers (1st Ed.). In: Corporation HP (ed). NewYork: Routledge, 73-82.
[13] Ghodrati M, Khorshidi J, 2021. New experimental Nusselt number correlation for spiral plate heat
exchanger optimized using a code. Part A: J. Power and Energy 235: 1142-1158.
https://doi.org/10.1177/0957650920948296
[14] Dongwu W, 2003. Geometric calculations for the spiral heat exchanger. Chem. Eng. Technol. Chem. Eng.
Technol: Industrial Chemistry‐Plant Equipment‐Process Engineering‐Biotechnology 26: 592-598.
https://doi.org/10.1002/ceat.200390091
[15] Antony J, 2023. Design of experiments for engineers and scientists: Elsevier. https://books.google.com
[16] Diamond WJ, 2001. Practical experiment designs: for engineers and scientists: John Wiley & Sons.
https://books.google.com/books
[17] Liu H, Wang K, Schlindwein W, et al., 2013. Using the Box–Behnken experimental design to optimise
operating parameters in pulsed spray fluidised bed granulation. Int. J. Pharm. 448: 329-338.
https://doi.org/10.1016/j.ijpharm.2013.03.057
[18] D[1ewettinck K, Huyghebaert A, 1998. Top-spray fluidized bed coating: Effect of process variables on
coating efficiency. LWT - Food Sci. 31: 568-575. https://doi.org/10.1006/fstl.1998.0417
[19] Eldeen, K. I., Ibrahim, H.M., Elkhidir, E. E., Elamin, H. B., “Optimization of culture conditions to enhance
nattokinase production using RSM.” American Journal of Microbiological Research. 3(5). pp. 165-170. 2015.
[20] Box GE, Hunter WH, Hunter S, 1978. Statistics for experimenters: John Wiley and sons New York.
[21] Vanaja K and Shobha Rani R., 2007. Design of experiments: concept and applications of Plackett Burman
design. Clinical research regulatory affairs 24: 1-23. https://doi.org/10.1080/10601330701220520
https://oil.bcnf.ir Page 20
[22] Seyedin Seyed Hadi, Zhalehrajabi Ehsan, Ardjmand Mehdi, et al., 2018. Using response surface
methodology to optimize the operating parameters in a top-spray fluidized bed coating system. Surf. Coat.
Technol. 334: 43-49. https://doi.org/10.1016/j.surfcoat.2017.11.003
[23] Bebs T, Roetzel W, 1992. Distribution of heat flux density in spiral heat exchangers. Int. J. Heat Mass
Transf. 35: 1331-1347. https://doi.org/10.1016/0017-9310(92)90026-O
[24] Bes T, Roetzel W, 1998. Effectiveness of spiral heat exchanger with variable overall heat transfer coefficient.
Heat Transfer and Renewable Energy Sources, Proc. VII Int. Symp. Heat Transfer and Renewable Energy
Sources, Szczecin-Swinoujscie, Sept. 7-9.
[25] Bes T, Roetzel W, 1993. Thermal theory of the spiral heat exchanger. Int. J. Heat Mass Transf. 36: 765-
773. https://doi.org/10.1016/0017-9310(93)80052-V
[26] Mostafa MA, 2011. Fouling of heat transfer surfaces. Heat Transfer-Theoretical Analysis, Experimental
Investigations Industrial Systems, Prof. Aziz Belmiloudi , InTech.
[27] Červenka B, Holubčík M, Drga J, et al., 2022. Modular Spiral Heat Exchanger Thermal Modelling. Appl.
Sci. 12: 5805. https://doi.org/10.3390/app12125805
[28] Bes T, 2001. Thermal design of spiral heat exchanger. Int. J. Heat. Exch. 2: 59-96.
[29] Kumar TA, Sharma N, Mohammad MN, et al., 2019. Optimization of spiral plate heat exchanger by gradient
based optimizer. Int J Innov Technol Explor Eng 8: 1819-1823. ISSN: 2278-3075
[30] Liu Q, Tao Y, Shi L, et al., 2023. Parametric optimization of a spiral ground heat exchanger by response
surface methodology and multi-objective genetic algorithm. Appl. Therm. Eng. 221: 119824
