Energy and Buildings 36 (2004) 35–40
A non-dimensional analysis of a ventilated double
façade energy performance
Carla Balocco
∗
Dipartimento di Energetica “S. Stecco”, Università degli Studi di Firenze, via S. Marta 3, Firenze, Italy
Received 24 February 2003; received in revised form 15 May 2003; accepted 6 June 2003
Abstract
A method based on dimensional analysis is proposed for a natural ventilated double façade energy performance study. The 14
non-dimensional numbers defined, with physical meaning, can be used to describe thermal and energy performance of different façade
designs. A comparison between non-dimensional numbers solved by simulation, experimental data, and the obtained and validated correla-
tion results is reported. A simple tool to evaluate thermal performance of a solar chimney is provided. Applying it, useful design indications
can be derived also by varying simple parameters using thermal and physical data easy to get.
© 2003 Elsevier B.V. All rights reserved.
Keywords: Non-dimensional numbers; Ventilated double façade; Simulation
1. Introduction
At present, energy consumption reduction for heating and
cooling buildings is an extremely important task. Demon-
stration programs, theoretical and experimental studies are
supported in many countries. Passive solar heating and cool-
ing of buildings has been widely studied [1,2].
In particular, different Trombe wall systems [3,4], solar
chimney [5–7] and also double glass façades have been stud-
ied for designing natural ventilated building façades [8,9].
Modern architecture often shows building design with dou-
ble glass façades with low solar radiation transmission co-
efficient. This glass façade structure is commonly built with
vertical glass cover at 20–60 cm distance from the inner one.
It can be also continuous in height or discontinuous at each
floor level. There are some examples of Trombe wall or
solar chimney application in architecture designs. Trombe
wall or solar chimney façade system is a facing, preferable
south facing, concrete or masonry quite blackened wall and
covered on the exterior by glazing or opaque panel. Mas-
sive thermal wall stores solar energy which is transferred to
the inside building for winter heating and allows air natural
buoyancy circulation draught effect between the lower and
upper openings of the cavity during summer. Thermal per-
formance of this complex system depends on its geometry,
∗
Tel.:+39-055-4796436; fax: +39-055-4796342.
E-mail address: c.balocco@ing.unifi.it (C. Balocco).
air circulation in the channel and local climate conditions
mainly due to outdoor air temperature, solar radiation and
wind velocity.
Multi-dimensional and time-dependent temperature field
and transient heat fluxes can be accurately computed only
by numerical simulation procedures. Those results have to
be compared and validated by experimental data. Thermal
analysis based on steady state conditions have been re-
cently developed, but complex simulation programs using
finite element method, turbulence models and fluid dynamic
procedures (CFD) are not so widely used to study pro-
totype façade, comparing experimental results [3,10]. Un-
steady simulation has also been performed with CFD code to
study phase change material’s (PCM) effect as a heat storing
materials [11]. Some of these simulation programs permit to
control and verify surface condensation phenomena. Only
analysis, simulation results and experimental data compar-
isons provide understanding basis of heat transfer mecha-
nism and overall energy performance of natural ventilated
façades. It is a real fact the lack of empirical data on energy
performance for different climatic conditions and construc-
tive solutions of solar chimney, Trombe wall and in particular
double glass façades. The aim of the present work is to pro-
vide a useful tool to know and compare thermo-physical and
energy performances of different natural ventilated façade
designs, by non-dimensional analysis of a natural ventilated
façade studied. The proposed method permits a simple way
to assess energy potential of the system and its useful sum-
mer cooling effect.
0378-7788/$ – see front matter © 2003 Elsevier B.V. All rights reserved.
doi:10.1016/S0378-7788(03)00086-0