1 3
Heat Mass Transfer
DOI 10.1007/s00231-015-1652-x
ORIGINAL
Study on heat transfer coefficients during cooling of PET bottles
for food beverages
Antonio Liga
1
· Salvatore Montesanto
1
· Gianluca A. Mannella
1
·
Vincenzo La Carrubba
1
· Valerio Brucato
1
· Marco Cammalleri
2
Received: 23 February 2015 / Accepted: 27 July 2015
© Springer-Verlag Berlin Heidelberg 2015
k
w
Water thermal conductivity
L Characteristic length, volume/surface
m Mass
Nu Nusselt number
Pr Prandtl number
r
1
Bottle internal radius
r
2
Bottle external radius
Q
tot
Global heat flux
Q
rad
Radiant heat flux
Q
conv
Convective heat flux
h
rad
Radiant heat transfer coefficient
U
conv.+cond.
Convective heat transfer coefficient
Ra Rayleigh number
Re Reynolds number
T Temperature
T
1
Inside temperature of water
T
2
Outside temperature of cooling fluid
T
0
Initial inside temperature of water
T
g
Glass transition temperature
T
wall
Bottle surface temperature
T
∞
Bulk temperature of cooling fluid
θ Dimensionless temperature
t Time
U
g
Global heat transfer coefficient
Greek symbols
α Thermal diffusivity
α
w
Water thermal diffusivity
α
PET
PET thermal diffusivity
β Volumetric thermal expansion coefficient
δ PET layer thickness
μ Viscosity
ν Kinematic viscosity (μ/ρ)
ρ Density
τ Characteristic time
Abstract The heat transfer properties of different cool-
ing systems dealing with Poly-Ethylene-Terephthalate
(PET) bottles were investigated. The heat transfer coef-
ficient (U
g
) was measured in various fluid dynamic con-
ditions. Cooling media were either air or water. It was
shown that heat transfer coefficients are strongly affected
by fluid dynamics conditions, and range from 10 W/m
2
K
to nearly 400 W/m
2
K. PET bottle thickness effect on U
g
was shown to become relevant under faster fluid dynam-
ics regimes.
List of symbols
A Sample A
A
S
Bottle external area
B Sample B
C Constant
c
p
Specific heat
D Bottle external diameter
g Gravitational acceleration
Gr Grashof Number
H Bottle height
h
1
Heat transfer coefficient inside the bottle
h
2
Heat transfer coefficient outside the bottle
k PET thermal conductivity
* Gianluca A. Mannella
gianluca.mannella@unipa.it
1
Department of Civil, Environmental, Aerospace
and Materials Engineering (DICAM), University of Palermo,
Viale delle Scienze, Ed. 8, 90128 Palermo, Italy
2
Department of Chemical, Management, Computer
and Mechanical Engineering (DICGIM), University
of Palermo, Viale delle Scienze, Ed. 8, 90128 Palermo, Italy