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Numerical Simulation of Steady Flow and Forced Convection Heat Transfer from Two Offset Square Cylinders Placed in a Channel

  • Research Article - Mechanical Engineering
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Abstract

Flow over two isothermal offset square cylinders in a channel is simulated for various offset distance (OD) and Reynolds number (Re). The distance between the cylinders in normal direction and the blockage ratio are fixed. Simulation is carried out for Re that varies from 1 to 40, and OD that varies from 1 to 10 for a fixed Prandtl number equals to 0.71. The hydrodynamic results and forced convection heat transfer are more pronounced for variation in Re and OD. Flow separation begins when Re is >5 from the rear wall of the cylinders. The onset of vortex shedding is found when Re is greater than 45 for OD upto 10. The average skin friction coefficient is reported to reveal the role of Re and OD. The top wall Nusselt number shows higher than remaining walls. The downstream offset cylinder is more pronounced for Re and OD, and it shows a nonlinear trend for average Nusselt number.

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Abbreviations

\(C_\mathrm{f}\) :

Skin friction coefficient (\(2\tau _\mathrm{w}/\rho \overline{{u}_\mathrm{o}}^{2}\))

d :

Side of square cylinder, m

f :

Shedding frequency, Hz

H :

Height of the channel, m

k :

Thermal conductivity of water, Wm/K

Nu :

Nusselt number

Pr :

Prandtl number, \(\upsilon /\alpha \)

Re :

Reynolds number, \(\overline{{u}_\mathrm{o}}d/\upsilon \)

\(\bar{t}\) :

Dimensional time, s

t :

Nondimensional time

\(\bar{u},\bar{v}\) :

Dimensional velocity components along x, y axes, m/s

u, v :

Dimensionless velocity components along x, y axes

\(\overline{{u}_\mathrm{o}}\) :

Average horizontal velocity at the channel inlet, m/s

\(\bar{x},\bar{y}\) :

Dimensional Cartesian coordinates, m

x, y :

Dimensionless Cartesian coordinates

\(\infty \) :

Ambient condition

\(\alpha \) :

Thermal diffusivity, \(\hbox {m}^{2}\hbox {/s}\)

\(\beta \) :

Blockage ratio, d/H

\(\varepsilon \) :

Convergence criteria

\(\mu \) :

Dynamic viscosity, kg/m\(^{-\hbox {s}}\)

\(\upsilon \) :

Kinematic viscosity, \(\hbox {m}^{2}\hbox {/s}\)

\(\omega \) :

Dimensionless vorticity

\(\psi \) :

Dimensionless stream function

\(\theta \) :

Nondimensional temperature, \(\frac{T-T_{\infty }}{T_w-T_{\infty }}\)

avg:

Average

n :

Normal direction

w :

Wall

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Authors and Affiliations

  1. Department of Mechanical Engineering, Velammal College of Engineering and Technology, Madurai, Tamil Nadu, 625 009, India

    P. Rajesh Kanna

  2. Kalasalingam University, Srivilliputhur, Tamil Nadu, India

    M. Sivasubramanian

  3. Department of Mechanical Engineering, SBM College of Engineering and Technology, Dindigul, India

    P. Maheandera Prabu

  4. Department of Mechanical Engineering, Kalasalingam University, Srivilliputhur, Tamil Nadu, 625 125, India

    M. Uthayakumar

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  1. P. Rajesh Kanna
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  2. M. Sivasubramanian
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  3. P. Maheandera Prabu
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  4. M. Uthayakumar
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Correspondence to P. Rajesh Kanna.

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Kanna, P.R., Sivasubramanian, M., Prabu, P.M. et al. Numerical Simulation of Steady Flow and Forced Convection Heat Transfer from Two Offset Square Cylinders Placed in a Channel. Arab J Sci Eng 42, 1795–1815 (2017). https://doi.org/10.1007/s13369-016-2311-3

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  • DOI: https://doi.org/10.1007/s13369-016-2311-3

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