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In the article “Measurements of the Thermal Conductivity
Chapter 3, Problem 13SE(choose chapter or problem)
In the article "Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, ), the thermal diffusivity of a liquid measured by the transient short-hot-wire method is given by
\(\lambda=\frac{V I A}{\pi l a}\)
where \(\lambda\) is the thermal diffusivity; and
are the voltage and current applied to the hot wire, respectively;
is the length of the wire; and
and
are quantities involving temperature whose values are estimated separately. In this article, the relative uncertainties of these quantities are given as follows:
,
.
Equation Transcription:
Text Transcription:
lambda={VIA}over{{pi}la}
lambda
Questions & Answers
QUESTION:
In the article "Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al., International Journal of Thermophysics, ), the thermal diffusivity of a liquid measured by the transient short-hot-wire method is given by
\(\lambda=\frac{V I A}{\pi l a}\)
where \(\lambda\) is the thermal diffusivity; and
are the voltage and current applied to the hot wire, respectively;
is the length of the wire; and
and
are quantities involving temperature whose values are estimated separately. In this article, the relative uncertainties of these quantities are given as follows:
,
.
Equation Transcription:
Text Transcription:
lambda={VIA}over{{pi}la}
lambda
ANSWER:
Answer :
Step 1 of 3 :
Given,
The thermal diffusivity of a liquid by the transient short-hot-wire method is given by
=
Where, = thermal diffusivity, V and I are the Voltage and Current applied to the hot wire.
L = length of the wire, A and a are the quantities involving temperature whose values are estimated separately
Let, V=0.01% , I = 0.01%, l = 1%, A = 0.1% and a = 1%.