The purpose of this study is to evaluate the efficiency of an inverse method to determine the variation of convective heat transfer coefficients in the unsteady state inside building enclosures. The experimental system is mainly composed of a vertical, heated, flat plate where natural convection heat flow is generated and of a radiative source which can impose a known flux condition. The inverse method calculates the total heat flux by conduction along the vertical flat plate, together with surface temperatures. Subtracting the local contribution of the radiative heat flux from the total heat flux gives the average convective heat flux at different heights of the plate. For various boundary conditions, it is then possible to determine the values of the convective heat exchange coefficients. Uncertainty calculations relative to these results confirm the reliability of the inverse method developed.

1.
Mavroulakis, A., 1995, “De´veloppement d’outils destine´s a` la mode´lisation des e´changes radiatifs dans des enceintes de ge´ome´trie complexe. Calcul de facteurs de forme en pre´sence d’obstacles,” Ph.D. thesis, University P. Sabatier, Toulouse III, France.
2.
Serres, L., 1997, “Etude de l’impact d’une perturbation thermique locale de type tache solaire, Influence sur le confort thermique,” Ph.D. thesis, INSA of Toulouse, France.
3.
El Alami, M., 1994, “Contribution a` l’e´tude thermique et dynamique des e´coulements le long d’une paroi non uniforme´ment chauffe´e dans une cavite´ a` grand nombre de Rayleigh,” Ph.D. thesis, INSA of Toulouse, France.
4.
Lorente, S., 1996, “Contribution a` l’e´tude des transferts thermiques dans les alve´oles verticales-Application aux produits de terre cuite, Mode´lisation et Expe´rimentation,” Ph.D. thesis, INSA of Toulouse, France.
5.
El Khatib
,
H.
, and
Javelas
,
R.
,
1998
, “
Etude de deux cas d’e´coulement thermoconvectifs le long d’une plaque plane verticale uniforme´ment chauffe´e dans une cavite´
,”
Rev. Gen. Therm.
,
37
(
4
), pp.
295
303
.
6.
El. Khatib
,
H.
, and
Javelas
,
R.
,
1996
, “
Mode`le correctif de la mesure de tempe´rature d’un gaz par couple thermoe´lectrique, Application a` une zone a` fort gradient thermique
,”
Rev. Gen. Therm.
,
35
, pp.
571
579
.
7.
Cuniasse–Langhans, I., 1998, “Evaluation par me´thode inverse de la distribution de flux de chaleur parie´taux le long d’une plaque plane verticale en convection naturelle,” Ph.D. thesis, INSA of Toulouse, France.
8.
Cuniasse–Langhans
,
I.
,
Trombe
,
A.
,
Dumoulin
,
J.
, and
Begue
,
M.
,
2001
, “
Efficiency of an Inverse Method to Determine Natural Convection Heat Transfer
,”
Numerical Heat Transfer, Part B
,
39
(
6
), pp.
603
615
.
9.
Walton, G. N., 1980, “A New Algorithm for Radiant Interchange in Room Load Calculations,” ASHRAE Trans., pp. 190–208.
10.
Blanc, G., 1996, “Proble`mes inverses multidimensionels de conduction de la chaleur. Optimization du positionnement des capteurs et utilisation des mesures de thermode´formations,” Ph.D. thesis, INSA of Lyon, France.
11.
Suleiman, A., “Evolution par me´thode inverse de la distribution de flux de chaleur parie´taux d’une plaque plane verticale en pre´sence d’une perturbation radiative,” Ph.D. thesis, INSA of Toulouse, France.
12.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Mac Graw Hill Book Company, New York.
13.
Taler
,
J.
,
1992
, “
Nonlinear Steady-State Inverse Heat Conduction Problem With Space-Variable Boundary Conditions
,”
ASME J. Heat Transfer
,
114
, pp.
1048
1051
.
14.
Beck, J. V., Blackwell, B., and St-Clair, Jr., C. R., 1985, Inverse Heat Conduction, Ill-Posed Problems, Wiley-Interscience Publication.
15.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992, Numerical Recipes in Fortran, Cambridge University Press.
16.
Siegel, R., and Howell, J. R., 1992, Thermal Radiation Heat Transfer, Third edition, Hemisphere Publishing Corporation, Washington D.C.
17.
Beck, J. V., and Arnold, K. J., 1977, Parameter Estimation in Engineering and Science, John Wiley & Sons, New York.
18.
Bejan, A., 1993, Heat Transfer, John Wiley and Sons, Inc. New York.
19.
Roldan, A., 1985, “Etude thermique et ae´raulique des enveloppes des ba^timents. Influence des couplages inte´rieurs et multizonages,” Ph.D. thesis, INSA of Lyon, France.
20.
Dascali
,
E.
,
Santamouris
,
M.
,
Balaras
,
C. A.
, and
Asimakopoulos
,
D. N.
,
1994
, “
Natural Convection Heat Transfer Coefficients From Vertical and Horizontal Surface for Building Applications
,”
Energy Build.
,
20
, pp.
243
249
.
You do not currently have access to this content.