Problem $2\mathrm{.}5$ Consider the flow of a fluid parallel to a flat and smooth plate.

a$.$ Assume that the fluid is air at $100$ kPa pressure, and $T_{}=300K$ and $U_{}=1\frac{m}{s},$ and the

plate surface is at a temperature of $350$ K $.$ Calculate the thickness of the velocity and

temperature boundary layers at $1,10,$ and $30$ cm distances from the leading edge of the

plate.

b$.$ Repeat Part a$,$ this time assuming that the fluid is an oil with the following properties:

$Pr=10$;$=753k\frac{g}{m^3}$;$C_P=2\mathrm{.}1k\frac{J}{k}g*K$;$k=0\mathrm{.}137\frac{W}{m}*K$;$=6\mathrm{.}6{10}^{-4}Pa*s.$

c$.$ Repeat Part a$,$ this time assuming that the fluid is liquid sodium with $T_{}=400K,$ and the

surface temperature is at $450$ K $,$ and $U_{}=2\frac{m}{s}.$