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Application of Multivariate Adaptive Regression Spline-Assisted Objective Function on Optimization of Heat Transfer Rate Around a Cylinder

  • Dey, Prasenjit (Mechanical Engineering Department, National Institute of Technology) ;
  • Das, Ajoy K. (Mechanical Engineering Department, National Institute of Technology)
  • Received : 2015.11.30
  • Accepted : 2016.06.08
  • Published : 2016.12.25

Abstract

The present study aims to predict the heat transfer characteristics around a square cylinder with different corner radii using multivariate adaptive regression splines (MARS). Further, the MARS-generated objective function is optimized by particle swarm optimization. The data for the prediction are taken from the recently published article by the present authors [P. Dey, A. Sarkar, A.K. Das, Development of GEP and ANN model to predict the unsteady forced convection over a cylinder, Neural Comput. Appl. (2015) 1-13]. Further, the MARS model is compared with artificial neural network and gene expression programming. It has been found that the MARS model is very efficient in predicting the heat transfer characteristics. It has also been found that MARS is more efficient than artificial neural network and gene expression programming in predicting the forced convection data, and also particle swarm optimization can efficiently optimize the heat transfer rate.

Keywords

References

  1. S. Bhattacharyya, S. Mahapatra, Vortex shedding around a heated square cylinder under the influence of buoyancy, Heat Mass Transf 41 (2005) 824-833. https://doi.org/10.1007/s00231-005-0626-9
  2. A. Dhiman, R. Chhabra, V. Eswaran, Flow and heat transfer across a confined square cylinder in the steady flow regime: effect of Peclet number, Int. J. Heat Mass Transf 48 (2005) 4598-4614. https://doi.org/10.1016/j.ijheatmasstransfer.2005.04.033
  3. A. Dhiman, R.P. Chhabra, A. Sharma, V. Eswaran, Effects of Reynolds and Prandtl numbers on heat transfer across a square cylinder in the steady flow regime, Numer. Heat Transf. Part A Appl. 49 (2006) 717-731. https://doi.org/10.1080/10407780500283325
  4. T.H. Ji, S.Y. Kim, J.M. Hyun, Experiments on heat transfer enhancement from a heated square cylinder in a pulsating channel flow, Int. J. Heat Mass Transf. 51 (2008) 1130-1138. https://doi.org/10.1016/j.ijheatmasstransfer.2007.04.015
  5. M. Rahnama, H. Hadi-Moghaddam, Numerical investigation of convective heat transfer in unsteady laminar flow over a square cylinder in a channel, Heat Transf. Eng 26 (2005) 21-29. https://doi.org/10.1080/01457630500248521
  6. A.K. Sahu, R. Chhabra, V. Eswaran, Effects of Reynolds and Prandtl numbers on heat transfer from a square cylinder in the unsteady flow regime, Int. J. Heat Mass Transf 52 (2009) 839-850. https://doi.org/10.1016/j.ijheatmasstransfer.2008.07.032
  7. G.J. Sheard, M.J. Fitzgerald, K. Ryan, Cylinders with square cross-section: wake instabilities with incidence angle variation, J. Fluid Mech 630 (2009) 43-69. https://doi.org/10.1017/S0022112009006879
  8. A. Sohankar, C. Norberg, L. Davidson, Low-Reynolds-number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition, Int. J. Numer. Meth. Fluids 26 (1998) 39-56. https://doi.org/10.1002/(SICI)1097-0363(19980115)26:1<39::AID-FLD623>3.0.CO;2-P
  9. P. Dey, A. Das, Steady flow over triangular extended solid attached with square cylinder-A method to reduce drag, Ain Shams Eng. J 6 (2015) 929-938. https://doi.org/10.1016/j.asej.2015.01.002
  10. P. Dey, A. Das, Numerical analysis of drag and lift reduction of square cylinder, Eng. Sci. Technol. Int. J 18 (2015) 758-768. https://doi.org/10.1016/j.jestch.2015.05.007
  11. J. Chakraborty, N. Verma, R. Chhabra, Wall effects in flow past a circular cylinder in a plane channel: a numerical study, Chem. Eng. Process 43 (2004) 1529-1537. https://doi.org/10.1016/j.cep.2004.02.004
  12. R. Chhabra, A. Soares, J. Ferreira, Steady non-Newtonian flow past a circular cylinder: a numerical study, Acta Mech 172 (2004) 1-16. https://doi.org/10.1007/s00707-004-0154-6
  13. R. Golani, A. Dhiman, Fluid flow and heat transfer across a circular cylinder in the unsteady flow regime, Int. J. Eng. Sci 3 (2004) 8-19.
  14. N. Mahir, Z. Altac, Numerical investigation of convective heat transfer in unsteady flow past two cylinders in tandem arrangements, Int. J. Heat Fluid Flow 29 (2008) 1309-1318. https://doi.org/10.1016/j.ijheatfluidflow.2008.05.001
  15. O. Posdziech, R. Grundmann, A systematic approach to the numerical calculation of fundamental quantities of the twodimensional flow over a circular cylinder, J. Fluids Struct 23 (2007) 479-499. https://doi.org/10.1016/j.jfluidstructs.2006.09.004
  16. J.-M. Shi, D. Gerlach, M. Breuer, G. Biswas, F. Durst, Heating effect on steady and unsteady horizontal laminar flow of air past a circular cylinder, Phys. Fluids 16 (2004) 4331-4345. https://doi.org/10.1063/1.1804547
  17. J. Hu, Y. Zhou, C. Dalton, Effects of the corner radius on the near wake of a square prism, Exp. Fluids 40 (2006) 106-118. https://doi.org/10.1007/s00348-005-0052-2
  18. T. Tamura, T. Miyagi, The effect of turbulence on aerodynamic forces on a square cylinder with various corner shapes, J. Wind Eng. Ind. Aerodyn 83 (1999) 135-145. https://doi.org/10.1016/S0167-6105(99)00067-7
  19. C. Ferreira, Gene expression programming: a new adaptive algorithm for solving problems, Complex Syst 13 (2001) 87-129.
  20. P. Dey, A. Sarkar, A.K. Das, Prediction of unsteady mixed convection over circular cylinder in the presence of nanofluidda comparative study of ANN and GEP, J. Naval Architect. Marine Eng 12 (2015) 57-71. https://doi.org/10.3329/jname.v12i1.21812
  21. P. Marti, J. Shiri, M. Duran-Rosc, G. Arbatc, F.R. de Cartagenac, J. Puig-Bargues, Artificial neural networks vs. gene expression programming for estimating outlet dissolved oxygen in micro-irrigation sand filters fed with effluents, Comput. Electron. Agric 99 (2013) 176-185. https://doi.org/10.1016/j.compag.2013.08.016
  22. E. Dikmen, Gene expression programming strategy for estimation performance of LiBr-$H_2O$ absorption cooling system, Neural Comput. Appl 26 (2015) 409-415. https://doi.org/10.1007/s00521-014-1723-9
  23. A. Nazari, Application of gene expression programming to predict the compressive damage of lightweight aluminosilicate geopolymer, Neural Comput. Appl (2012) 1-10.
  24. A. Nazari, S. Riahi, Predicting the effects of nanoparticles on compressive strength of ash-based geopolymers by gene expression programming, Neural Comput. Appl 23 (2013) 1677-1685. https://doi.org/10.1007/s00521-012-1127-7
  25. A. Behnood, J. Olek, M.A. Glinicki, Predicting modulus elasticity of recycled aggregate concrete using M5' model tree algorithm, Construct. Build. Mater 94 (2015) 137-147. https://doi.org/10.1016/j.conbuildmat.2015.06.055
  26. S. Emamgolizadeh, S.M. Bateni, D. Shahsavani, T. Ashrafi, H. Ghorbani, Estimation of soil cation exchange capacity using genetic expression programming (GEP) and multivariate adaptive regression splines (MARS), J. Hydrol 529 (2015) 1590-1600. https://doi.org/10.1016/j.jhydrol.2015.08.025
  27. P. Dey, A. Das, A utilization of GEP (gene expression programming) metamodel and PSO (particle swarm optimization) tool to predict and optimize the forced convection around a cylinder, Energy 95 (2016) 447-458. https://doi.org/10.1016/j.energy.2015.12.021
  28. P. Dey, A. Das, Prediction and optimization of unsteady forced convection around a rounded cornered square cylinder in the range of Re, Neural Comput. Appl (2016) 1-11.
  29. R. Rao, V. Patel, Thermodynamic optimization of cross flow plate-fin heat exchanger using a particle swarm optimization algorithm, Int. J. Thermal Sci 49 (2010) 1712-1721. https://doi.org/10.1016/j.ijthermalsci.2010.04.001
  30. H. Azarkish, S. Farahat, S.M.H. Sarvari, Comparing the performance of the particle swarm optimization and the genetic algorithm on the geometry design of longitudinal fin, EPS 5 (2012) 262-265.
  31. J. Fridedman, Multivariate adaptive regression splines (with discussion), Ann. Statist 19 (1991) 79-141.
  32. P. Dey, A. Sarkar, A.K. Das, Development of GEP and ANN model to predict the unsteady forced convection over a cylinder, Neural Comput. Appl (2015) 1-13.
  33. J. Kennedy, R. Eberhart, Particle swarm optimization, IEEE 4 (1995) 1942-1948.

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