Error in thermocouple temperature measurement

Input(s)

T\mathrm{T}: Temperature indicated by Thermocouple (K)

Tw\mathrm{T}_{\mathrm{w}}: Temperature of Wall (K)

h\mathrm{h}: Heat Conduction Constant (dimensionless)

L: Length (cm)(\mathrm{cm})

k: Thermal Conductivity (W/mK)(\mathrm{W} / \mathrm{m} \mathrm{K})

B: Breadth (cm)(\mathrm{cm})

Output(s)

n\mathrm{n}: Constant (K)(\mathrm{K})

Ta\mathrm{T}_{\mathrm{a}}: Actual Thermocouple Temperature (K)

Formula(s)

n=(cosh((hL2k B)0.5))1 Ta=Tn Tw1n\begin{gathered} \mathrm{n}=\left(\cosh \left(\left(\mathrm{h} * \frac{\mathrm{L}^{2}}{\mathrm{k}} * \mathrm{~B}\right)^{0.5}\right)\right)^{-1} \\ \mathrm{~T}_{\mathrm{a}}=\frac{\mathrm{T}-\mathrm{n} * \mathrm{~T}_{\mathrm{w}}}{1-\mathrm{n}} \end{gathered}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 10, Page: 310.

An unhandled error has occurred. Reload 🗙