Multi-objective optimization of a three-dimensional internally finned tube based on Response Surface Methodology (RSM)

Yıl 2015, Cilt: 1 Sayı: 2, 131 - 142, 01.02.2015

Ahmed Kadhim Hussein

https://doi.org/10.18186/jte.82948

Cited By: 3

Öz

In the present work, computational fluid dynamics (CFD) together with multi-objective optimization study of an internally finned tube has been performed using the response surface methodology (RSM). For the optimization, the Box-Behnken of response surface methodology (RSM) is exploited from the Design Expert 7.0.0 software. The effects of the fin height, fin width and the fin number on the heat transfer enhancement in the form of Nusselt number (Nu) and friction factor multiplied by Reynolds number (fRe) have been investigated. The results of the numerical model are compared with the analytical results for validation of the model. Finally a non-dominated sorting genetic algorithm (NSGA) has been proposed for the multi objective optimization of the responses. It was found that numerical and RSM can be applied for optimization of heat transfer analysis of internally finned tube. The results show that at the lower level of fin height, the Nusselt number has an increasing trend with the increase in fin number but decreases beyond fin number of 7. Similar trend is also observed at higher level of fin height. Moreover, it is found that the contribution of fin thickness, for variations of Nusselt number (Nu) and (fRe) , is not significant as compared to fin height and fin number

Anahtar Kelimeler

Response Su face Methodology (RSM), Heat exchanger, Optimization, Internally finned tube , Computational fluid dynamics (CFD)

Multi-objective optimization of a three-dimensional internally finned tube based on Response Surface Methodology (RSM)

Öz

Anahtar Kelimeler

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Kaynakça

• Sarma, P.K., et al. Laminar convective heat transfer with twisted tape inserts in a tube. International Journal of Thermal Sciences, 2003. 42(9): p. 821-828.
• Sarma, P.K., et al., A new method to predict convective heat transfer in a tube with twisted tape inserts for turbulent flow. International Journal of Thermal Sciences, 200 41(10): p. 955-960. Manglik, R.M. and A.E. Bergles. Heat Transfer and Pressure Drop Correlations for Twisted-Tape Inserts in Isothermal Tubes: Part I-Laminar Flows. Journal of Heat Transfer, 1993. 115(4): p. 881-889.
• Manglik, R.M. and A.E. Bergles. Heat Transfer and Pressure Drop Correlations for Twisted-Tape Inserts in Isothermal Tubes: Part II-Transition and Turbulent Flows. Journal of Heat Transfer, 1993. 115(4): p. 890-896.
• Zimparov, V. Enhancement of heat transfer by a combination of a single-start spirally corrugated tubes with a twisted tape. Experimental Thermal and Fluid Science, 2002. 25(7): p. 535-546.
• Sethumadhavan, R. and M. Raja Rao. Turbulent flow heat transfer and fluid friction in helical-wire-coil-inserted tubes. International Journal of Heat and Mass Transfer, 1983. 26(12): p. 1833-1845.
• García, A., et al.Enhancement of laminar and transitional flow heat transfer in tubes by means of wire coil inserts. International Journal of Heat and Mass Transfer, 2007. 50(15–16): p. 3176-3189.
• Naphon, P. Effect of coil-wire insert on heat transfer enhancement and pressure drop of the horizontal concentric tubes. International Communications in Heat and Mass Transfer, 2006. 33(6): p. 753-763.
• Agrawal, K.N., et al. Heat transfer augmentation by coiled wire inserts during forced convection condensation of R-22 inside horizontal tubes. International Journal of Multiphase Flow, 1998. 24(4): p. 635-650.
• Smit, F.J. and J.P. Meyer. R-22 and Zeotropic Condensation in Microfin, High-Fin, and Twisted Tape Insert Tubes. Journal of Heat Transfer, 2002. 124(5): p. 912-921.
• O'Brien, J.E. and M.S. Sohal. Heat Transfer Enhancement for Finned-Tube Heat Exchangers With Winglets. Journal of Heat Transfer, 2005. 127(2): p. 171- 1
• Chu, P., Y.L. He, and W.Q. Tao. Three- Dimensional Numerical Study of Flow and Heat Transfer Enhancement Using Vortex Generators Exchangers. Journal of Heat Transfer, 200 131(9): p. 091903.
• He, J., L. Liu, and A.M. Jacobi.Air-Side Heat-Transfer Enhancement by a New Winglet-Type Vortex Generator Array in a Plain-Fin Round-Tube Heat Exchanger. Journal of Heat Transfer, 2010. 132(7): p. 07180
• Liou, T.-M., C.-C. Chen, and T.-W. Tsai. Heat Transfer and Fluid Flow in a Square Duct With 12 Different Shaped Vortex Generators. Journal of Heat Transfer, 2000. 122(2): p. 327-335.
• Bilir, L., et al. Heat Transfer and Pressure Drop Characteristics of Fin-Tube Heat Exchangers with Different Types of Vortex Generator Configurations. 2010. 17(3): p. 243-256.
• Aslam Bhutta, M.M., et al. CFD applications in various heat exchangers design: A review. Applied Thermal Engineering, 2012. 32 : p. 1-12.
• Varol, Y., et al. Prediction of flow fields and temperature distributions due to natural convection in a triangular enclosure using Adaptive-Network-Based Fuzzy Inference System (ANFIS) and Artificial International Communications in Heat and Mass Transfer, 2007. 34(7): p. 887-896.
• Aminossadati, S.M., A. Kargar, and B. Ghasemi. Adaptive network-based fuzzy inference system analysis of mixed convection in a two-sided lid-driven cavity filled with a nanofluid. International Journal of Thermal Sciences, 2012. 52 : p. 102
• Liu, X., et al. Control of convergence in a computational fluid dynamic simulation using fuzzy logic. Science in China Series E: Technological Science, 2002. 45(5): p. 495-50
• Dı́az, G., et al. Dynamic prediction and control of heat exchangers using artificial neural networks. International Journal of Heat and Mass Transfer, 2001. 44(9): p. 1671-1679.
• Dragojlovic, Z. and D. Kaminski. A FUZZY LOGIC ALGORITHM FOR ACCELERATION OF CONVERGENCE IN SOLVING TURBULENT FLOW AND HEAT TRANSFER PROBLEMS. Numerical Fundamentals, 2004. 46(4): p. 301-327.
• Islamoglu, Y. and A. Kurt. Heat transfer analysis using ANNs with experimental data for air flowing in corrugated channels. International Journal of Heat and Mass Transfer, 2004. 47(6–7): p. 1361-1365.
• Islamoglu, Y. A new approach for the prediction of the heat transfer rate of the wire-on-tube type heat exchanger––use of an artificial neural network model. Applied Thermal Engineering, 2003. 23(2): p. 243- 2
• Rout, S.K., et al. Numerical Analysis of Mixed Convection through an Internally Finned Tube, Advances in Mechanical Engineering. 2012. 2012(ID 918342): p. 10 pages, 2012. doi:10.1155/2012/918342.
• Myers, R. and D. Montgomery. Response surface methodology.USA:. John Wiley & Sons, 1995.
• Fermoso, J., et al. Application of response surface methodology to assess the combined effect of operating variables on high-pressure coal gasification for H2-rich gas production. International Journal of Hydrogen Energy, 2010. 35(3): p. 1191- 120
• Chiang, K.-T., C.-C. Chou, and N.-M. Liu. Application methodology in describing the thermal performances of a pin-fin heat sink. International Journal of Thermal Sciences, 200 48(6): p. 1196-1205. Chiang, Application methodology optimization of a pin-fin type heat sink.
• International Communications in Heat and Mass Transfer, 2006. 33(7): p. 836-845.
• Chiang, K.-T. Modeling and optimization of designing parameters for a parallel-plain fin heat sink with confined impinging jet using the response surface methodology. Applied Thermal Engineering, 2007. 27(14–15): p. 2473-2482.
• Sun, L. and C.-L. Zhang, Evaluation of elliptical finned-tube heat exchanger performance using CFD and response surface Journal of Thermal Sciences, 2014. 75(0): p. 45-53.
• TABLE 3 ANOVA RESULTS OF THE RESPONSE SURFACE quadratic model for NUSSELT NUMBER (Nu) [FIN NUMBER (A), FIN HEIGHT (B) AND FIN THICKNESS (C) ] Source Model A-Ip B-Ton C-τ AB AC BC A2 B2 C2 Residual Lack of Fit Pure Error Cor Total 56 F Value 45 481 87 61 82 27 19 1 21 0.2 0.6658 1 7 3 21 0.4148 not significant 4 16
• TABLE 5 PARETO-OPTIMAL SOLUTIONS USING NSGA Sl no Fin number. 6 0.03 0.029236 0.028795 0.02619 0.022929 0.022231 0.022535 0.024543 0.01573 0.016144 0.0177 0.015023 0.011241 0.012957 0.010388 0.012761 0.010428 0.027283 96425 17 3223 9 65624 9 09845 9 76863 9 36675 22496 33782 10