TCi Operator Manual
94
equilibrium after contact between them has been established. The solution of equation (6) follows
these expressions:
t
a
x
ierfc
e
e
t
G
t
x
T
1
2
1
1
2
2
)
,
(
for
0
x
,
0
t
(7)
t
a
x
ierfc
e
e
t
G
t
x
T
2
2
1
2
2
2
)
,
(
for
0
x
,
0
t
(8)
Where:
ΔT
= change in sensor surface temperature (ºC)
G
= power flux supplied to sensor (W/m
2
)
t
= time measured from start of process (sec)
e
1
= equivalent effusivity of sensor (
1
1
1
p
c
,
K
m
s
W
2
)
e
2
= effusivity of measured material (
2
2
2
p
c
,
K
m
s
W
2
)
a
1
= equivalent diffusivity of sensor,
m
2
/s
a
2
= diffusivity of measured material,
m
2
/s
1
= equivalent thermal conductivity of sensor,
W/mK
2
= thermal conductivity of measured material,
W/mK
1
= equivalent density of sensor,
Kg/m
3
2
= density of measured material,
Kg/m
3
c
p1
= equivalent specific heat capacity of sensor,
J/kgK
c
p2
= specific heat capacity of measured material,
J/kgK
Assumption: Both sensor and measured material are in equilibrium and at the same temperature
when the measurement starts.
X<0
e
1
X>0
e
2
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