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FIG. 1: Low-cost family house vented shed roof (attic), with ther-
mals loads scheme.
solar radiation that impact on the roof, are transmitted to
the house indoor passing through this cavity. The received
thermal load will be considered as the combined effect of
both solar radiation and heat exchange by natural convec-
tion between the roof and the environment. The front and
back walls are assumed adiabatic (we neglect the heat flow
through these walls). The ceiling consists of a thin cove-
ring material with negligible thermal resistance; therefore,
we assume that it has the same temperature as that inside
the house. The attic is located on a square room of 4 m long
each side. The set of governing equations for natural con-
vection turbulent flow is given by the Reynolds-averaged
Navier-Stokes (RANS) equations of continuity (1), momen-
tum (2) and thermal energy (3):
∇·(ρu) = 0 (1)
(u·∇)u=∇·[−PI + (µ+µT)(∇u+ (∇u)T)
−
2
3(µ+µT)(∇·u)I−
2
3ρkI]+(ρ−ρ0)g(2)
ρCpu·∇T=∇·(λ∇T)(3)
where uis the velocity field vector, ρthe temperature
dependent air density, ρ0the air density evaluated at a re-
ference temperature (ambient), Pthe pressure, gthe gravity
acceleration field, µthe air dynamic viscosity, µTthe eddy
viscosity, kthe turbulent kinetic energy, Cpthe air heat va-
lue, λthe air thermal conductivity and Tthe temperature
field.
The low Reynolds number k−εturbulence model em-
ployed in this work is a modification of the well-known
k−εmodel, widely used in analyzing ventilation flow in-
side houses and buildings [10]. The model introduces two
additional transport equations and two dependent variables:
the turbulent kinetic energy, k, and the turbulent dissipa-
tion rate εto the above RANS equations [11]. In order to
describe the flow in the wall region, where viscous effects
dominate, the employed low Reynolds number k−εmo-
del adapts the turbulence transport equations with the AKN
(initials of its developers: Abe, Kondoh and Nagano) model
[12] by introducing damping functions.
The equations system was solved using the Non-
Isothermal Turbulent Flow module of the commercial fini-
te element software COMSOL Multiphysics 4.4. To have a
good convergence scheme, the solutions were obtained by
following two steps: in the first step, the viscosity was set
to a value approximately 10 times higher than the expected
physical viscosity inside the attic, in the second step, the ac-
tual physical viscosity is calculated using the first step result
as initial guess.
The nonlinearity introduced by the Navier-Stokes
(RANS) and turbulence transport equations were solved
using a segregated approach [13]: Navier-Stokes equations
in one group and the turbulence transport equations in
another. For each iteration of the Navier-Stokes group, three
iterations for the turbulence transport equations were nee-
ded. A pseudo-time stepping approach was used to obtain
steady state solutions.
III. RESULTS AND DISCUSSION
Model validation
The Numerical model was validated with Ampofo and
Karaviannis [14] experimental measurements, who studied
the low turbulence air flux driven by natural convection insi-
de a closed cavity of square cross section (0.75 m each side),
under a temperature gradient of 40 K between the lateral
walls (323 K on the left wall and 283 K on the right one),
with insulated top and bottom walls. The cavity was deep
enough (1.5 m) to assure a 2D flux at any cross section far
from anterior and posterior walls. Velocity and temperature
profiles of moving air were measured at different positions
in a cross section placed at the middle distance between an-
terior and posterior walls. Our numerical results show good
agreement with experimental measurements (see Fig. 2).
Moreover, the agreement between the temperature profiles
is very precise in the boundary layer region where heat flu-
xes need to be computed in this work.
The model was also validated with the numerical work
by Wang et al. [5], who developed a V2f turbulent model
to analyze the buoyancy-driven air flux inside a vented attic
of triangular shape, under a temperature gradient of 20 K
between the base and the inclined top side, for winter con-
ditions. The geometry of the 2D triangular cross section of
the attic was 8 m long in the base and had a roof inclination
ratio of 5/11. The streamlines and isotherms predictions ob-
tained with our model reproduce the same behavior, espe-
cially for the case of a vented attic with 2 cm openings width
and a R-20 insulation type for a 267 K ambient temperatu-
re. But the best agreement is observed when comparing two
variables relevant for our study at summer conditions: heat
transferred through the ceiling (HTTC) and mass flow. The
HTTC predicted by Wang et al. [6] is 48.5 W/m while ours
is 46.8 W/m, computing a percentage difference of about
3.5%, while the mass flow difference between both models
is about 1% (0.0236 kg/s for Wang’s model and 0.0238 kg/s
for our model).
Summer boundary condition: Roof constant temperatu-
re vs solar radiation.
The influence of geometric dimensions on the attic ther-
mal performance is very dependent on the thermal boun-
dary conditions. A 295.15 K temperature is desired to have
a comfortable indoor environment, being this the prescribed
temperature on the ceiling. But it is not fully understood
what types of thermal conditions can mimic the real roof
conditions for any situation.
For winter conditions and snowfall zones, constant roof
Berli et al. / Anales AFA - XVI Meeting on Recent Advances of Physics of Fluids and its Applications 46-51 47