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.

Related

Heat flux distribution in a wall

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