Abstract
The group method of data handling (GMDH) technique was used to predict heat transfer and friction characteristics in heat exchanger tubes equipped with wire-rod bundles. Nusselt number and friction factor were determined as functions of wire-rod bundle geometric parameters and Reynolds number. The performance of the developed GMDH-type neural networks was found to be superior in comparison with the proposed empirical correlations. For optimization, the genetic algorithm-based multi-objective optimization was applied.
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Abbreviations
- A:
-
Heat transfer area (m2)
- Cp:
-
Specific heat capacity (kJ/kg K)
- D:
-
Diameter (m)
- h:
-
Heat transfer coefficient (W/m2 K)
- f :
-
Friction factor
- k:
-
Thermal conductivity (W/m K)
- l:
-
Length of wire-rod (m)
- L:
-
Length of test section (m)
- m:
-
Mass flow rate (kg/s)
- N:
-
Number of data points/wire-rod number per bundle
- Nu:
-
Nusselt number
- P:
-
Pitch lengths (m)
- Pr:
-
Prandtl number
- Q:
-
Heat transfer rate (W)
- t:
-
Target data
- T:
-
Temperature (K)
- Re:
-
Reynolds number
- V:
-
Velocity (m/s)
- y:
-
Predicted value
- ν:
-
Kinematic viscosity (m2/s)
- ρ:
-
Density (kg/m3)
- b:
-
Bulk
- i:
-
Inlet
- o:
-
Outlet
- w:
-
Wall
References
Klaczak A (2000) Heat transfer by laminar flow in a vertical pipe with twisted-tape inserts. Heat Mass Transf 36:195–199
Bali T, Ayhan T (1999) Experimental investigation of propeller type swirl generator for a circular pipe flow. Int Commun Heat Mass Transf 26:13–22
Abu-Khader MM (2006) Further understanding of twisted tape effects as tube insert for heat transfer enhancement. Heat Mass Transf 43:123–134
Shabanian SR, Rahimi M, Shahhosseini M, Alsairafi AA (2011) CFD and experimental studies on heat transfer enhancement in an air cooler equipped with different tube inserts. Int Commun Heat Mass Transf 38:383–390
Eiamsa-ard S, Promvonge P (2005) Enhancement of heat transfer in a tube with regularly spaced helical tape swirl generators. Sol Energy 78:483–494
Patil SV, Vijaybabu PV (2012) Heat transfer enhancement through a square duct fitted with twisted tape inserts. Heat Mass Transf 48:1803–1811
Pal PK, Saha SK (2010) Thermal and friction characteristics of laminar flow through square and rectangular ducts with transverse ribs and twisted tapes with and without oblique teeth. J Enhanc Heat Transf 17:1–21
Rahimi M, Shabanian SR, Alsairafi AA (2009) Experimental and CFD studies on heat transfer and friction factor characteristics of a tube equipped with modified twisted tape inserts. Chem Eng Process 48:762–770
Durmus A, Durmus A, Esen M (2002) Investigation of heat transfer and pressure drop in a concentric heat exchanger with snail entrance. Appl Therm Eng 22:321–332
Muñoz-Esparza D, Sanmiguel-Rojas E (2011) Numerical simulations of the laminar flow in pipes with wire coil inserts. Comput Fluids 44:169–177
Beigzadeh R, Rahimi M, Parvizi M, Eiamsa-ard S (2014) Application of ANN and GA for the prediction and optimization of thermal and flow characteristics in a rectangular channel fitted with twisted tape vortex generators. Numer Heat Transf Part A 65:186–199
JafariNasr MR, Habibi Khalaj A, Mozaffari SH (2010) Modeling of heat transfer enhancement by wire coil inserts using artificial neural network analysis. Appl Therm Eng 30:143–151
Esen H, Ozgen F, Esen M, Sengur A (2009) Artificial neural network and wavelet neural network approaches for modelling of a solar air heater. Expert Syst Appl 36:11240–11248
Esen H, Inalli M, Sengur A, Esen M (2008) Modelling a ground-coupled heat pump system using adaptive neuro-fuzzy inference systems. Int J Refrig 31:65–74
Esen H, Inalli M, Sengur A, Esen M (2008) Artificial neural networks and adaptive neuro-fuzzy assessments for ground-coupled heat pump system. Energ Build 40:1074–1083
Esen H, Inalli M, Sengur A, Esen M (2008) Forecasting of a ground-coupled heat pump performance using neural networks with statistical data weighting pre-processing. Int J Therm Sci 47:431–444
Esen H, Inalli M, Sengur A, Esen M (2008) Performance prediction of a ground-coupled heat pump system using artificial neural networks. Expert Syst Appl 35:1940–1948
Esen H, Inalli M, Sengur A, Esen M (2008) Predicting performance of a ground-source heat pump system using fuzzy weighted pre-processing-based ANFIS. Build Environ 43:2178–2187
Esen H, Esen M, Ozsolak O (2015) Modeling and experimental performance analysis of solar assisted ground source heat pump system. J Exp Theor Artif Intell. doi:10.1080/0952813X.2015.1056242
Beigzadeh R, Rahimi M (2012) Prediction of heat transfer and flow characteristics in helically coiled tubes using artificial neural networks. Int Commun Heat Mass Transf 39:1279–1285
Beigzadeh R, Rahimi M (2012) Prediction of thermal and fluid flow characteristics in helically coiled tubes using ANFIS and GA based correlations. Int Commun Heat Mass Transf 39:1647–1653
Bélanger S, Gosselin L (2009) Utilization of artificial neural networks in the context of materials selection for thermofluid design. Numer Heat Transf Part A 55:825–844
Mehrabi M, Pesteei SM, Pashaee GT (2011) Modeling of heat transfer and fluid flow characteristics of helicoidal double-pipe heat exchangers using adaptive neuro-fuzzy inference system (ANFIS). Int Commun Heat Mass Transf 38:525–532
Deng H, Guessasma S, Montavon G, Liao H, Coddet C, Benkrid D, Abouddi S (2005) Combination of inverse and neural network methods to estimate heat flux. Numer Heat Transf Part A 47:593–607
Yu J, Jia B, Wu D, Wang D (2009) Optimization of heat transfer coefficient correlation at supercritical pressure using genetic algorithms. Heat Mass Transf 45:757–766
Momayez L, Dupont P, Delacourt G, Lottin O, Peerhossaini H (2009) Genetic algorithm based correlations for heat transfer calculation on concave surfaces. Appl Therm Eng 29:3476–3481
Ivakhnenko AG (1971) Polynomial theory of complex systems. IEEE Trans Syst Man Cybern 1:364–378
Farlow SJ (1984) Self-organizing method in modelling: GMDH-type algorithm. Marcel Dekker, New York
Nanan K, Pimsarn M, Jedsadaratanachai W, Eiamsa-ard S (2013) Heat transfer augmentation through the use of wire-rod bundles under constant wall heat flux condition. Int Commun Heat Mass Transf 48:133–140
ANSI/ASME (1986) Measurement uncertainty. Supplement to ASME Performance Test Codes, PTC 19.1- 1985. The American Society of Mechanical Engineers, New York
Ketabchi S, Ghanadzadeh H, Ghanadzadeh A, Fallahi S, Ganji M (2010) Estimation of VLE of binary systems (tert-butanol + 2-ethyl-1-hexanol) and (n-butanol + 2-ethyl-1-hexanol) using GMDH-type neural network. J Chem Thermodyn 42:1352–1355
Pesteei SM, Mehrabi M (2010) Modeling of convection heat transfer of supercritical carbon dioxide in a vertical tube at low Reynolds numbers using artificial neural network. Int Commun Heat Mass Transf 37:901–906
Fujimoto K, Nakabayashi S (2003) Applying GMDH algorithm to extract rules from examples. Syst Anal Model Simul 43:1311–1319
Konak A, Coit DW, Smith AE (2006) Multi-objective optimization using genetic algorithm: a tutorial. Reliab Eng Syst Saf 91:992–1007
Sanaye H, Dehghandokht M (2011) Modeling and multi-objective optimization of parallel flow condenser using evolutionary algorithm. Appl Energy 88:1568–1577
Beigzadeh R, Rahimi M, Parvizi M (2013) Experimental study and genetic algorithm-based multi-objective optimization of thermal and flow characteristics in helically coiled tubes. Heat Mass Transf 49:1307–1318
Najafi H, Najafi B, Hoseinpoori P (2011) Energy and cost optimization of a plate and fin heat exchanger using genetic algorithm. Appl Therm Eng 31:1839–1847
Huang S, Ma Z, Wang F (2015) A multi-objective design optimization strategy for vertical ground heat exchangers. Energy Build 87:233–242
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Rahimi, M., Beigzadeh, R., Parvizi, M. et al. GMDH-type neural network modeling and genetic algorithm-based multi-objective optimization of thermal and friction characteristics in heat exchanger tubes with wire-rod bundles. Heat Mass Transfer 52, 1585–1593 (2016). https://doi.org/10.1007/s00231-015-1681-5
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DOI: https://doi.org/10.1007/s00231-015-1681-5