Nothing Special   »   [go: up one dir, main page]
Skip to main content

Advertisement

Springer Nature Link
Log in

Development of GEP and ANN model to predict the unsteady forced convection over a cylinder

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

In the present study, forced convection heat transfer flow past a square cylinder with a rounded corner edge in an unsteady two-dimensional low Reynolds number laminar regime is numerically performed and predicted by the artificial neural network (ANN) and gene expression programming (GEP). In this study, Reynolds number (Re) is varied from 80 to 180 with Prandtl number (Pr) variation from 0.01 to 1000 for various corner radii (r = 0.50, 0.51, 0.54, 0.59, 0.64 and 0.71). Finite volume-based commercial software FLUENT is used in the present numerical solution for the output results that are used to train the present ANN and GEP model. The local Nusselt number (Nu local) and average Nusselt number (Nu avg) at various Reynolds numbers, Prandtl numbers and various corner radii are utilized to forecast the heat transfer characteristics. It is found that the heat transfer rate of a circular cylinder can be enhanced by 12 % when Re is varying and 14 % when the Prandtl number is varying by introducing new cylinder geometry of corner radius r = 0.51. The forced convection characteristics can be envisioned properly and very promptly by using back-propagation ANN and GEP in contrast to a regular CFD approach. It is also found that GEP is more efficient in predicting than the ANN. The outcomes obtained by the present numerical study confirm a fine accord with the available results in the literature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

Abbreviations

B :

Blockage ratio (D/H)

Cp :

Specific heat of the fluid (J/kg K)

D :

Width of the square cylinder (m)

h :

Local convective heat transfer coefficient (W/m2 K)

H :

Height of the domain (m)

k :

Thermal conductivity of the fluid (W/m K)

L d :

Downstream face distance of the inlet from the cylinder center (m)

L u :

Upstream face distance of the inlet from the cylinder center (m)

Pr :

Prandtl number \(\left({=} \frac{{{\mu}Cp}}{k} \right)\) (dimensionless)

Re :

Reynolds number \(\left({=} \frac{{\rho U_{\infty} D}}{\mu}\right)\) (dimensionless)

t :

Time (dimensionless)

U ∞ :

Free stream velocity (m/s)

x, y :

Cartesian coordinates

p :

Pressure (dimensionless)

R :

Radius of corner (m)

r :

Radius of corner (dimensionless, R/D)

u, v :

Non-dimensional velocity components in x and y directions

µ :

Viscosity of the fluid (Pa s)

ρ :

Density

Θ :

Dimensionless temperature \(\left({=} \frac{{\bar{T} - T_{\infty}}}{{T_{\text{w}} - T_{\infty}}} \right)\)

∞:

Free stream

w:

Cylinder surface

− :

Dimensional variable

References

  1. Sohankar LDA, Norberg C (1995) Numerical simulation of unsteady flow around a square two-dimensional cylinder. In: Proceedings of the 12th Australian fluid mechanics conference, pp 517–520

  2. Bhattacharyya S, Mahapatra S (2005) Vortex shedding around a heated square cylinder under the influence of buoyancy. Heat Mass Transf 41(9):824–833

    Article  Google Scholar 

  3. Breuer M, Bernsdorf J, Zeiser T, Durst F (2000) Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume. Int J Heat Fluid Flow 21(2):186–196

    Article  Google Scholar 

  4. Dhiman A, Chhabra R, Eswaran V (2005) Flow and heat transfer across a confined square cylinder in the steady flow regime: effect of Peclet number. Int J Heat Mass Transf 48(21):4598–4614

    Article  MATH  Google Scholar 

  5. Dhiman A, Chhabra R, Sharma A, Eswaran V (2006) Effects of Reynolds and Prandtl numbers on heat transfer across a square cylinder in the steady flow regime. Numer Heat Transf A Appl 49(7):717–731

    Article  Google Scholar 

  6. Gupta AK, Sharma A, Chhabra RP, Eswaran V (2003) Two-dimensional steady flow of a power-law fluid past a square cylinder in a plane channel: momentum and heat-transfer characteristics. Ind Eng Chem Res 42(22):5674–5686

    Article  Google Scholar 

  7. Ji TH, Kim SY, Hyun JM (2008) Experiments on heat transfer enhancement from a heated square cylinder in a pulsating channel flow. Int J Heat Mass Transf 51(5):1130–1138

    Article  Google Scholar 

  8. Rahnama M, Hadi-Moghaddam H (2005) Numerical investigation of convective heat transfer in unsteady laminar flow over a square cylinder in a channel. Heat Transfer Eng 26(10):21–29

    Article  Google Scholar 

  9. Sahu AK, Chhabra R, Eswaran V (2009) Effects of Reynolds and Prandtl numbers on heat transfer from a square cylinder in the unsteady flow regime. Int J Heat Mass Transf 52(3):839–850

    Article  MATH  Google Scholar 

  10. Sharma A, Eswaran V (2004) Heat and fluid flow across a square cylinder in the two-dimensional laminar flow regime. Numer Heat Transf A Appl 45(3):247–269

    Article  Google Scholar 

  11. Sharma A, Eswaran V (2004) Effect of aiding and opposing buoyancy on the heat and fluid flow across a square cylinder at Re = 100. Numer Heat Transf A Appl 45(6):601–624

    Article  Google Scholar 

  12. Sheard GJ, Fitzgerald MJ, Ryan K (2009) Cylinders with square cross-section: wake instabilities with incidence angle variation. J Fluid Mech 630:43–69

    Article  MATH  Google Scholar 

  13. Sohankar A, Norberg C, Davidson L (1998) Low-Reynolds-number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition. Int J Numer Methods Fluids 26(1):39–56

    Article  MATH  Google Scholar 

  14. Wei-Bin G, Neng-Chao W, Bao-Chang S, Zhao-Li G (2003) Lattice-BGK simulation of a two-dimensional channel flow around a square cylinder. Chin Phys 12(1):67

    Article  Google Scholar 

  15. Chakraborty J, Verma N, Chhabra R (2004) Wall effects in flow past a circular cylinder in a plane channel: a numerical study. Chem Eng Process 43(12):1529–1537

    Article  Google Scholar 

  16. Chhabra R, Soares A, Ferreira J (2004) Steady non-Newtonian flow past a circular cylinder: a numerical study. Acta Mech 172(1–2):1–16

    Article  MATH  Google Scholar 

  17. Golani R, Dhiman AK (2004) Fluid flow and heat transfer across a circular cylinder in the unsteady flow regime. Int J Eng Sci 3(3):8–19

    Google Scholar 

  18. Mahír N, Altaç Z (2008) Numerical investigation of convective heat transfer in unsteady flow past two cylinders in tandem arrangements. Int J Heat Fluid Flow 29(5):1309–1318

    Article  Google Scholar 

  19. Park J, Kwon K, Choi H (1998) Numerical solutions of flow past a circular cylinder at Reynolds numbers up to 160. KSME Int J 12(6):1200–1205

    Article  Google Scholar 

  20. Posdziech O, Grundmann R (2007) A systematic approach to the numerical calculation of fundamental quantities of the two-dimensional flow over a circular cylinder. J Fluids Struct 23(3):479–499

    Article  Google Scholar 

  21. Shi J-M, Gerlach D, Breuer M, Biswas G, Durst F (2004) Heating effect on steady and unsteady horizontal laminar flow of air past a circular cylinder. Phys Fluids 16(12):4331–4345

    Article  MATH  Google Scholar 

  22. Tritton DJ (1959) Experiments on the flow past a circular cylinder at low Reynolds numbers. J Fluid Mech 6(04):547–567

    Article  MATH  Google Scholar 

  23. Hu J, Zhou Y, Dalton C (2006) Effects of the corner radius on the near wake of a square prism. Exp Fluids 40(1):106–118

    Article  Google Scholar 

  24. Tamura T, Miyagi T (1999) The effect of turbulence on aerodynamic forces on a square cylinder with various corner shapes. J Wind Eng Ind Aerodyn 83(1):135–145

    Article  Google Scholar 

  25. Mandal A, Faruk G (2010) An experimental investigation of static pressure distributions on a group of square or rectangular cylinders with rounded corners. J Mech Eng 41(1):42–49

    Article  Google Scholar 

  26. Leontini JS, Thompson MC (2013) Vortex-induced vibrations of a diamond cross-section: sensitivity to corner sharpness. J Fluids Struct 39:371–390

    Article  Google Scholar 

  27. Carassale L, Freda A, Marrè-Brunenghi M (2013) Effects of free-stream turbulence and corner shape on the galloping instability of square cylinders. J Wind Eng Ind Aerodyn 123:274–280

    Article  Google Scholar 

  28. Carassale L, Freda A, Marrè-Brunenghi M (2014) Experimental investigation on the aerodynamic behavior of square cylinders with rounded corners. J Fluids Struct 44:195–204

    Article  Google Scholar 

  29. Kalogirou SA (2000) Applications of artificial neural-networks for energy systems. Appl Energy 67(1):17–35

    Article  Google Scholar 

  30. Taymaz I, Islamoglu Y (2009) Prediction of convection heat transfer in converging–diverging tube for laminar air flowing using back-propagation neural network. Int Commun Heat Mass Transf 36(6):614–617

    Article  Google Scholar 

  31. Islamoglu Y, Kurt A (2004) Heat transfer analysis using ANNs with experimental data for air flowing in corrugated channels. Int J Heat Mass Transf 47(6):1361–1365

    Article  Google Scholar 

  32. Akdag U, Komur MA, Ozguc AF (2009) Estimation of heat transfer in oscillating annular flow using artifical neural networks. Adv Eng Softw 40(9):864–870

    Article  MATH  Google Scholar 

  33. Tahavvor AR, Yaghoubi M (2008) Natural cooling of horizontal cylinder using artificial neural network (ANN). Int Commun Heat Mass Transf 35(9):1196–1203

    Article  Google Scholar 

  34. Ferreira C (2001) Gene expression programming: a new adaptive algorithm for solving problems. arXiv preprint cs/0102027

  35. Martí P, Shiri J, Duran-Ros M, Arbat G, De Cartagena FR, Puig-Bargués J (2013) Artificial neural networks vs. gene expression programming for estimating outlet dissolved oxygen in micro-irrigation sand filters fed with effluents. Comput Electron Agric 99:176–185

    Article  Google Scholar 

  36. Dikmen E (2015) Gene expression programming strategy for estimation performance of LiBr–H2O absorption cooling system. Neural Comput Appl 26:409–415

    Article  Google Scholar 

  37. Nazari A (2012) Application of gene expression programming to predict the compressive damage of lightweight aluminosilicate geopolymer. Neural Comput Appl 21:1–10

    Article  Google Scholar 

  38. Nazari A, Riahi S (2013) Predicting the effects of nanoparticles on compressive strength of ash-based geopolymers by gene expression programming. Neural Comput Appl 23(6):1677–1685

    Article  Google Scholar 

  39. Sreekanth S, Ramaswamy H, Sablani S, Prasher S (1999) A neural network approach for evaluation of surface heat transfer coefficient. J Food Process Preserv 23(4):329–348

    Article  Google Scholar 

  40. Kurtulus DF (2009) Ability to forecast unsteady aerodynamic forces of flapping airfoils by artificial neural network. Neural Comput Appl 18(4):359–368

    Article  Google Scholar 

  41. Ferreira C (2002) Gene expression programming in problem solving. In: Roy R et al (eds) Soft computing and industry. Springer, Berlin, pp 635–653

  42. GeneXproTools (2014) Version: 5, GEPSOFT

Download references

Acknowledgments

We are filled with gratefulness to the reviewers for building valuable suggestions which have directed us to significant improvements.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Agartala, Agartala, India

    Prasenjit Dey, Abhijit Sarkar & Ajoy Kumar Das

Authors
  1. Prasenjit Dey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Abhijit Sarkar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ajoy Kumar Das
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Prasenjit Dey.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dey, P., Sarkar, A. & Das, A.K. Development of GEP and ANN model to predict the unsteady forced convection over a cylinder. Neural Comput & Applic 27, 2537–2549 (2016). https://doi.org/10.1007/s00521-015-2023-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-015-2023-8

Keywords

Search

Navigation