The Peclet number $left(N_{P e} ight)$ is defined as [N_{P e}=N_{R e} N_{P r}=left(frac{D V ho}{mu} ight)left(frac{c_{p}

The Peclet number $\left(N_{P e}\right)$ is defined as

\[N_{P e}=N_{R e} N_{P r}=\left(\frac{D V ho}{\mu}\right)\left(\frac{c_{p} \mu}{k}\right)=\frac{D G c_{p}}{\mu},\]

where

$D$ is the pipe diameter

$G$ is the mass flux $=ho V$

$c_{p}$ is the specific heat

$k$ is the thermal conductivity

$\mu$ is the viscosity

Calculate the value of $N_{P e}$ for water at $60^{\circ} \mathrm{F}$ flowing through a $1 \mathrm{~cm}$. diameter tube at a rate of $100 \mathrm{lb}_{\mathrm{m}} / \mathrm{h}$. (Use the most accurate data you can find, and state your answer in the appropriate number of digits consistent with the data you use.)