Temperature distribution in a hot-wire anemometer

Input(s)

D: Diameter (ft)(\mathrm{ft})

L: Length ( ft\mathrm{ft} )

I: Current (Amp)

h\mathrm{h}: Heat Transfer Coefficient (btu/hft2 F)\left(\mathrm{btu} / \mathrm{h} \mathrm{ft}^{2} \mathrm{~F}\right)

ke\mathrm{k}_{\mathrm{e}}: Thermal Conductivity of Ambiance (1/Ωft)(1 / \Omega \mathrm{ft})

z\mathrm{z}: Distance (ft)(\mathrm{ft})

Output(s)

T\mathrm{T}: Temperature increase (F)(\mathrm{F})

Formula(s)

T=(D(I2)4 hke)(1(cosh((4 hkDz)0.5)cosh((4 hkD L)0.5)))\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

An unhandled error has occurred. Reload 🗙