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Effect of adiabatic square ribs on natural convection in an asymmetrically heated channel

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Abstract

A 2-D numerical simulation is carried out to investigate the effect of two adiabatic square ribs on laminar flow and heat transfer in an asymmetrically heated channel. The two ribs are symmetrically located on each wall, exactly above the heating zone. The computational procedure is made by solving the unsteady bi-dimensional continuity, momentum and energy equations with the finite volume method. The investigations focused more specifically on the influence of ribs sizes on the flow structure and heat transfer enhancement. The results showed that the variation of ribs sizes significantly alters the heat transfer and fluid flow distribution along the channel, especially in the vicinity of protrusions. Also, the results show that streamlines, isotherms, and the number, sizes and formation of vortex structures inside the channel strongly depend on the size of protrusions. The changes in heat transfer parameters have also been presented.

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Abbreviations

b :

Channel wall spacing (m)

e :

Rib height (m)

C p :

Specific heat capacity (J/kg K)

g :

Acceleration of gravity (m/s2)

k :

Thermal conductivity (W/m K)

L :

Heated zone length (m)

\(\overline{Nu}\) :

Averaged Nusselt number \(\left( {\overline{Nu} = \frac{{\bar{h}L}}{k}} \right)\)

P* :

Driving pressure (Pa)

Pr :

Prandtl number \(\left( {Pr = \frac{\nu }{\alpha }} \right)\)

Ra :

Rayleigh number \(\left( {Ra = \frac{{g\beta \phi b^{4} }}{{k\nu^{2} }}Pr} \right)\)

Ra*:

Modified Rayleigh number \(\left( {Ra^{*} = \frac{Ra}{{R_{f} }}} \right)\)

R f :

Heated zone aspect ratio \(\left( {R_{f} = \frac{L}{b}} \right)\)

R s :

Ribs size (m)

T :

Dimensional temperature (K)

U, V :

Dimensionless vertical and transversal velocity components

u, v :

Dimensional vertical and transversal velocity components (m/s)

X, Y :

Dimensionless vertical and transversal coordinates

x, y :

Dimensional vertical and transversal coordinates (m)

β :

Volume expansion coefficient (1/K)

\(\varphi\) :

Heat flux density (W/m2)

ρ :

Density (kg/m3)

ν :

Kinematic viscosity (m2/s)

μ :

Dynamic viscosity (Pa s)

Α :

Thermal diffusivity (m2/s)

θ :

Dimensionless temperature \(\theta = \frac{{\left( {T - T_{0} } \right)k}}{\varphi b}\)

W :

Wall

0 :

Reference value

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Authors and Affiliations

  1. GRESPI/Thermomécanique, Université de Reims Champagne-Ardenne, Moulin de la Housse, BP 1039, 51687, Reims Cedex 2, France

    Aissa Abidi-Saad, Catalin Popa & Guillaume Polidori

  2. Laboratoire d’Energétique Appliquée et de Pollution, Université Constantine 1, 25000, Constantine, Algérie

    Aissa Abidi-Saad & Mahfoud Kadja

  3. Faculté des Hydrocarbures et Energies renouvelables et Sciences de la terre et de l’univers, Université Kasdi Merbah, 30000, Ouargla, Algérie

    Aissa Abidi-Saad

Authors
  1. Aissa Abidi-Saad
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  2. Mahfoud Kadja
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  3. Catalin Popa
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  4. Guillaume Polidori
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Correspondence to Aissa Abidi-Saad.

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Abidi-Saad, A., Kadja, M., Popa, C. et al. Effect of adiabatic square ribs on natural convection in an asymmetrically heated channel. Heat Mass Transfer 53, 743–752 (2017). https://doi.org/10.1007/s00231-016-1853-y

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  • DOI: https://doi.org/10.1007/s00231-016-1853-y

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