Conjugate turbulent heat transfer in a square cavity with a solar control coating deposited to a vertical semitransparent wall

J. Xamán*, G. Álvarez, J. Hinojosa, J. Flores

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


This paper presents a numerical study of the conjugate heat transfer (natural convection, surface thermal radiation and conduction) in a square cavity with turbulent flow. The cavity has one vertical isothermal wall, two horizontal adiabatic walls and one vertical semitransparent wall with a selective coating applied to the inner side to control the solar radiation transmission. Later on the semitransparent wall is replaced with another one without the selective coating. The mathematical model for the turbulent flow in the cavity was solved using the finite volume method. The system had the following conditions: the uniform temperature in the isothermal wall was 21 °C, the external ambient temperature was fixed at 35 °C and on the semitransparent wall the direct normal solar irradiation of 750 W/m2 was considered constant. The Rayleigh number was varied in the range of 109 ≤ Ra ≤ 1012 by changing the lengths of the cavity from 0.70 m to 6.98 m, respectively. The results show that, even though the air temperature of the cavity with the solar control film coating semitransparent wall (case A) is higher compared with the one without solar film coating (case B), the total amount of heat going through the cavity is lower compared to the one going through the cavity without solar control film. The total amount of energy transferred to the air in cavity for the case A was 41.98% less than for the case B. A set of correlations for the Nusselt number was obtained for both cases considering the conjugate heat transfer.

Original languageEnglish
Pages (from-to)237-248
Number of pages12
JournalInternational Journal of Heat and Fluid Flow
Issue number2
StatePublished - Apr 2009

Bibliographical note

Funding Information:
The authors wish to thank the constant emotional support provided by IBM and Studentship support from CONACYT and SEP from México.


  • Natural convection
  • Radiative exchange
  • κ-ε turbulent model


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