Temperature distribution in a hot-wire anemometer
Input(s)
D: Diameter \((\mathrm{ft})\)
L: Length ( \(\mathrm{ft}\) )
I: Current (Amp)
\(\mathrm{h}\): Heat Transfer Coefficient \(\left(\mathrm{btu} / \mathrm{h} \mathrm{ft}^{2} \mathrm{~F}\right)\)
\(\mathrm{k}_{\mathrm{e}}\): Thermal Conductivity of Ambiance \((1 / \Omega \mathrm{ft})\)
\(\mathrm{z}\): Distance \((\mathrm{ft})\)
Output(s)
\(\mathrm{T}\): Temperature increase \((\mathrm{F})\)
Formula(s)
\[
\mathrm{T}=\left(\frac{\mathrm{D} *\left(\mathrm{I}^{2}\right)}{4 * \mathrm{~h} * \mathrm{k}_{\mathrm{e}}}\right) *\left(1-\left(\frac{\cosh \left(\left(\frac{4 * \mathrm{~h}}{\mathrm{k} * \mathrm{D} * \mathrm{z}}\right)^{0.5}\right)}{\cosh \left(\left(\frac{4 * \mathrm{~h}}{\mathrm{k} * \mathrm{D} * \mathrm{~L}}\right)^{0.5}\right)}\right)\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 10, Page: 328.