A pipe is coated on the inside with naphthalene and has an inside diameter of $2\mathrm{.}5$ cm and a length of $1\mathrm{.}1$ m$.$ Air at $318$ K and $101\mathrm{.}32$ kPa flows through this pipe at a velocity of $10$ m$/$s$.$ Calculate the molar flux of naphthalene $($kmol$/$m$2$s$)$ which evaporates to air and mass transfer coefficients $($kc $,$ ky$)$ at process conditions. Dnapht$-$air$=6\mathrm{.}92\backslash$times $10-6$ m$2/$s; $$air$=1\mathrm{.}932\backslash$times $10-5$ Pa$.$s; air$=1\mathrm{.}114$ kg$/$m$3$; Pnapht $=74$ kPa atprocess conditions.

Flow inside the pipe

Sh $=0\mathrm{.}023$Re$0\mathrm{.}83$Sc$0\mathrm{.}33$ ; $4000<$ Re $<60000$; $0\mathrm{.}6<$ Sc $<3000$

Sh $=0\mathrm{.}0149$Re$0\mathrm{.}88$Sc$0\mathrm{.}33$; $10000<$ Re $<400000$; Sc $>3000$

Flow outside the pipe $($perpendicular to the cylinder axis$)$

JD $=0\mathrm{.}06$ Re$-0\mathrm{.}487$; $50<$ Re $<50000$; $0\mathrm{.}6<$ Sc $<2\mathrm{.}6$

Parallel flow the flat sheet

JD $=0\mathrm{.}064$ Re$-0\mathrm{.}5$; Re $<15000$