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Multi-objective optimization of a hatchback rear end utilizing fractional factorial design algorithm

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Abstract

Air flow has significant effects on fuel consumption, performance, and comfort. Decreasing drag coefficient enhances fuel consumption and vehicle performance. Moreover, omitting or reducing the power of aerodynamic noise sources provides passengers comfort. In this paper, optimization of a hatchback rear end is conducted considering drag and aerodynamic noise objectives. To this end, five geometrical parameters of the hatchback rear end are chosen as design variables in two levels. Numerical simulation is applied to survey air flow features around the models in the wind tunnel. To reduce the number of runs, fraction factorial design algorithm is applied to generate layout of the simulations which decreased the number of case studies to half. Main and interaction effects of these factors on drag coefficient and acoustic power of the rear end source are derived using analysis of variance. Optimum level for each parameter is chosen considering simultaneous drag and noise goals. Finally, characteristics of air flow and acoustic power around optimum model are discussed.

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References

  1. Aljure DE, Lehmkuhl O, Rodriguez I, Oliva A (2014) Flow and turbulent structures around simplified car models. Comput Fluids 96:122–135

    Article  Google Scholar 

  2. Winkler N, Drugge L, Trigell AS, Efraimsson G (2016) Coupling aerodynamics to vehicle dynamics in transient crosswinds including a driver model. Comput Fluids 138:26–34

    Article  MathSciNet  Google Scholar 

  3. Beigmoradi S, Hajabdollahi H, Ramezani A (2014) Multi-objective aero acoustic optimization of rear end in a simplified car model by using hybrid robust parameter design, artificial neural networks and genetic algorithm methods. Comput Fluids 90:123–132

    Article  Google Scholar 

  4. Corallo M, Sheridan J, Thompson MC (2015) Effect of aspect ratio on the near-wake flow structure of an Ahmed body. J Wind Eng Ind Aerodyn 147:95–103

    Article  Google Scholar 

  5. Hanfeng W, Yu Z, Chao Z, Xuhui H (2016) Aerodynamic drag reduction of an Ahmed body based on deflectors. J Wind Eng Ind Aerodyn 148:34–44

    Article  Google Scholar 

  6. Thacker A, Aubrun S, Leroy A, Devinant P (2012) Effects of suppressing the 3D separation on the rear slant on the flow structures around an Ahmed body. J Wind Eng Ind Aerodyn 107:237–243

    Article  Google Scholar 

  7. Minelli G, Hartono EA, Chernoray V, Hjelm L, Krajnović S (2017) Aerodynamic flow control for a generic truck cabin using synthetic jets. J Wind Eng Ind Aerodyn 168:81–90

    Article  Google Scholar 

  8. Khaled M, El Hage H, Harambat F, Peerhossaini H (2012) Some innovative concepts for car drag reduction: a parametric analysis of aerodynamic forces on a simplified body. J Wind Eng Ind Aerodyn 107:36–47

    Article  Google Scholar 

  9. Grandemange M, Cadot O, Courbois A, Herbert V, Ricot D, Ruiz T, Vigneron R (2015) A study of wake effects on the drag of Ahmed’s squareback model at the industrial scale. J Wind Eng Ind Aerodyn 145:282–291

    Article  Google Scholar 

  10. Volpe R, Ferrand V, Da Silva A, Le Moyne L (2014) Forces and flow structures evolution on a car body in a sudden crosswind. J Wind Eng Ind Aerodyn 128:114–125

    Article  Google Scholar 

  11. Salati L, Schito P, Cheli F (2017) Wind tunnel experiment on a heavy truck equipped with front-rear trailer device. J Wind Eng Ind Aerodyn 171:101–109

    Article  Google Scholar 

  12. Salati L, Cheli F, Schito P (2015) Heavy truck drag reduction obtained from devices installed on the trailer. SAE Int J Commer Veh 8(2015-01-2898):747–760

    Article  Google Scholar 

  13. Bello-Millán FJ, Mäkelä T, Parras L, del Pino C, Ferrera C (2016) Experimental study on Ahmed’s body drag coefficient for different yaw angles. J Wind Eng Ind Aerodyn 157:140–144

    Article  Google Scholar 

  14. Beigmoradi S, Ramezani A (2013) Effect of the backlight angle on the aero-acoustics of the c-pillar. Int Rev Model Simul 6(3):988–993

    Google Scholar 

  15. Keogh J, Barber T, Diasinos S, Doig G (2016) The aerodynamic effects on a cornering Ahmed body. J Wind Eng Ind Aerodyn 154:34–46

    Article  Google Scholar 

  16. Vahdati M, Beigmoradi S, Batooei A (2018) Minimising drag coefficient of a hatchback car utilising fractional factorial design algorithm. Eur J Comput Mech 27(4):322–341

    Article  MathSciNet  Google Scholar 

  17. Kim JJ, Lee S, Kim M, You D, Lee SJ (2017) Salient drag reduction of a heavy vehicle using modified cab-roof fairings. J Wind Eng Ind Aerodyn 164:138–151

    Article  Google Scholar 

  18. Tunay T, Yaniktepe B, Sahin B (2016) Computational and experimental investigations of the vortical flow structures in the near wake region downstream of the Ahmed vehicle model. J Wind Eng Ind Aerodyn 159:48–64

    Article  Google Scholar 

  19. McNally J, Fernandez E, Robertson G, Kumar R, Taira K, Alvi F, Yamaguchi Y, Murayama K (2015) Drag reduction on a flat-back ground vehicle with active flow control. J Wind Eng Ind Aerodyn 145:292–303

    Article  Google Scholar 

  20. Beigmoradi S (2015) Aerodynamic drag and noise minimization of rear end parameters in a simplified car model utilizing robust parameter design method. SAE technical paper 2015-01-1360

  21. Shih TH, Liou WW, Shabbir A, Yang Z, Zhu J (1995) A new k − ε Eddy-viscosity model for high Reynolds number turbulent flows—model development and validation. Comput Fluids 24(3):227–238

    Article  Google Scholar 

  22. Proudman I (1952) The generation of noise by isotropic turbulence. Proc R Soc Lond Ser A Math Phys Sci 214(1116):119–132

    MathSciNet  MATH  Google Scholar 

  23. Lilley GM (1993) The radiated noise from isotropic turbulence revisited, NASA contract report 93-75. NASA Langley Research Center, Hampton

    Google Scholar 

  24. Sarkar S, Hussaini MY (1993) Computation of the sound generated by isotropic turbulence. DTIC document

  25. Montgomery D (2012) Design and analysis of experiments, 8th edn. Wiley, Hoboken, New Jersey. www.wiley.com/go/permissions

    Google Scholar 

  26. Ahmed SR, Ramm G (1984) Salient features of the time-averaged ground vehicle wake. SAE technical paper, p 840300

  27. Strachan R, Knowles K, Lawson N (2007) The vortex structure behind an Ahmed reference model in the presence of a moving ground plane. Exp Fluids 42(5):659–669

    Article  Google Scholar 

  28. Lenth RV (1989) Quick and easy analysis of unreplicated factorials. Technometrics 31:469–473

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

The authors would like to express their gratitude to Automotive Industries Research & Innovation Center (AIRIC) of SAIPA, for valuable support.

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Authors and Affiliations

  1. Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran

    Sajjad Beigmoradi

  2. Mechanical Engineering, Faculty of K. N. Toosi University of Technology, Tehran, Iran

    Mehrdad Vahdati

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  1. Sajjad Beigmoradi
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  2. Mehrdad Vahdati
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Correspondence to Sajjad Beigmoradi.

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Beigmoradi, S., Vahdati, M. Multi-objective optimization of a hatchback rear end utilizing fractional factorial design algorithm. Engineering with Computers 37, 139–153 (2021). https://doi.org/10.1007/s00366-019-00813-1

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  • DOI: https://doi.org/10.1007/s00366-019-00813-1

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