Apparatus, methods, and articles of manufacture for monitoring a condition
of a material are disclosed. In particular, the example apparatus,
methods, and articles of manufacture emit a first acoustic signal into a
wall of the tubular member having a first temperature value and obtain a
first propagation time associated with the first acoustic signal. In
addition, a second acoustic signal is emitted into the wall having a
second temperature value and a second propagation time associated with
the second ultrasonic acoustic signal is obtained. The second temperature
value is determined based on the first temperature value and the first
and second propagation times.