350
P. Sathavara et al.
Fig. 1 Schematic diagram
of an experimental setup
thermal insulating material made of fused silica. A heater is equipped for heating the
rod which is located at the top side of the rod. A heat flux sensor mounted in a disk
is used for measuring the heat flux which is installed at the bottom side. The three
K-type thermocouples of 1 mm sheath diameter are inserted through the hole up to
the center of the rod. The temperature of the rod is measured in a vertical direction
(10 mm apart) at three points in the rod as shown in Fig. 2.
The inverse code is developed in MATLAB for this one-dimensional heat conduction in the SS rod. In mathematical formulation, only 30 mm length of SS rod
is considered because the transient temperature value at location x = 30 mm is
considered as the boundary.
The iteration starts with an initial guess q
0 (t) = 0. The estimation of q(t) present
at x = 0 mm is carried out using the measured transient temperature value (Y m (t)) at
x = 10 mm and x = 20 mm. However, the measured temperatures have measurement
uncertainty associated with the accuracy of the thermocouple that will affect the
output value of q(t). The results of estimated heat flux appear in Fig. 3.
The RMS error is defined here as
e RMS =
1
p
p
i=1
q
(t i ) − q(t i )
2
(13)
Fig. 2 Dimensions of SS
rod and location of
thermocouples
P. Sathavara et al.
Fig. 1 Schematic diagram
of an experimental setup
thermal insulating material made of fused silica. A heater is equipped for heating the
rod which is located at the top side of the rod. A heat flux sensor mounted in a disk
is used for measuring the heat flux which is installed at the bottom side. The three
K-type thermocouples of 1 mm sheath diameter are inserted through the hole up to
the center of the rod. The temperature of the rod is measured in a vertical direction
(10 mm apart) at three points in the rod as shown in Fig. 2.
The inverse code is developed in MATLAB for this one-dimensional heat conduction in the SS rod. In mathematical formulation, only 30 mm length of SS rod
is considered because the transient temperature value at location x = 30 mm is
considered as the boundary.
The iteration starts with an initial guess q
0 (t) = 0. The estimation of q(t) present
at x = 0 mm is carried out using the measured transient temperature value (Y m (t)) at
x = 10 mm and x = 20 mm. However, the measured temperatures have measurement
uncertainty associated with the accuracy of the thermocouple that will affect the
output value of q(t). The results of estimated heat flux appear in Fig. 3.
The RMS error is defined here as
e RMS =
1
p
p
i=1
q
(t i ) − q(t i )
2
(13)
Fig. 2 Dimensions of SS
rod and location of
thermocouples