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

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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.

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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

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Acknowledgments

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

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Authors and Affiliations

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

    Prasenjit Dey, Abhijit Sarkar & Ajoy Kumar Das

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  1. Prasenjit Dey
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Correspondence to Prasenjit Dey.

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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

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

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