A fluid flowing over a flat plate has the following properties : dynamic viscosity = 25 x 10^-6 kg/ms, specific heat = 2.0 kJ/kgK, thermal conductivity 0.05 W/mK.
A fluid flowing over a flat plate has the following properties : dynamic viscosity = 25 x 10^-6 kg/ms, specific heat = 2.0 kJ/kgK, thermal conductivity 0.05 W/mK. The hydrodynamic boundry layer thickness is measured to be 0.5 mm. What is the thickness of the thermal boudary layer?
Prandtl Number, \[Pr= \frac{\mu C_{p}}{k} = \frac{25 \times 10^{-6}\times 2 \times 10^{3}}{0.05}=1\]
\[\frac{\delta_{h} }{\delta _{t}} = \left ( Pr \right )^{\frac{1}{3}}=\left ( 1 \right )^{\frac{1}{3}}=1\]
\[\Rightarrow \frac{\delta_{h} }{\delta _{t}} = 1\]
\[\Rightarrow \frac{0.5 }{\delta _{t}} = 1\]
\[\Rightarrow \delta _{t} = 0.5\,mm\]
