Heat and Mass Transfer

, Volume 54, Issue 5, pp 1511–1529 | Cite as

Effect of surface radiation on natural convection in an asymmetrically heated channel-chimney system

  • Zied Nasri
  • Youssef Derouich
  • Ali Hatem Laatar
  • Jalloul Balti


In this paper, a more realistic numerical approach that takes into account the effect of surface radiation on the laminar air flow induced by natural convection in a channel-chimney system asymmetrically heated at uniform heat flux is used. The aim is to enrich the results given in Nasri et al. (Int J Therm Sci 90:122–134, 2015) by varying all the geometric parameters of the system and by taking into account the effect of surface radiation on the flows. The numerical results are first validated against experimental and numerical data available in the literature. The computations have allowed the determination of optimal configurations that maximize the mass flow rate and the convective heat transfer and minimize the heated wall temperatures. The analysis of the temperature fields with the streamlines and the pressure fields has helped to explain the effects of surface radiation and of the different thermo-geometrical parameters on the system performances to improve the mass flow rate and the heat transfer with respect to the simple channel. It is shown that the thermal performance of the channel-chimney system in terms of lower heated wall temperatures is little affected by the surface radiation. At the end, simple correlation equations have been proposed for quickly and easily predict the optimal configurations as well as the corresponding enhancement rates of the induced mass flow rate and the convective heat transfer.



channel aspect ratio (Ar = h/b)


channel width (m)


chimney width (m)


expansion ratio (B = b '/b)


extension ratio (Er = h '/h)


acceleration due to the gravity (m.s−2)


dimensionless mass flow rate


channel height (m)


chimney height (m)


convective heat transfer coefficient (W.m−2.K−1)


radiative heat transfer coefficient (W.m−2.K−1)

nx, nz

numbers of grid points in x− and z−directions


local convective Nusselt number


local radiative Nusselt number


average convective Nusselt number


average radiative Nusselt number


pressure (Pa)


dimensionless pressure


Prandtl number


heat flux (W.m−2)


radiative heat flux (W.m−2)


Rayleigh number


modified Rayleigh number (Ra  = Ra/Ar)


dimensionless time


time (s)


dimensionless temperature

u, w

velocity component along (x, z)-direction (m.s−1)

U, W

dimensionless velocity components

x, z

cartesian coordinates (m)

X, Z

dimensionless coordinates

Greek symbols


thermal diffusivity (m2.s−2)


coefficient of volumetric expansion (K−1)


difference between two values




temperature (K)


kinematic viscosity (m2.s−1)


density (Kg.m−3)


thermal conductivity (W.m−1.K−1)









maximum value


optimum value




Simple channel





We thank the reviewers for their remarks which allow to improve the paper. We also thank Mr. Xavier Chesneau (Maître de Conférence à l’UPVD) for his advice.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Zied Nasri
    • 1
    • 2
  • Youssef Derouich
    • 1
    • 2
  • Ali Hatem Laatar
    • 2
    • 3
  • Jalloul Balti
    • 1
  1. 1.Faculty of Sciences of BizerteUniversity of CarthageJarzounaTunisia
  2. 2.LETTM, Faculty of Mathematical, Physical and Natural Sciences of TunisUniversity of Tunis El ManarTunisTunisia
  3. 3.Department of Physics, Faculty of ScienceTabuk UniversityTabukSaudi Arabia

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