A horizontal cylinder $0\mathrm{.}03$ m diameter and $0\mathrm{.}75$ m long

is suspended in water at $25C.$ Calculate the rate of heat transfer

if the cylinder surface is at $75C.$ Use the following correlation:

$=0\mathrm{.}53(Gr*Pr{)}^{0\mathrm{.}25}.$ The relevant physical properties of water

at the mean film temperature $50C$ are: Thermal conductivity

$0\mathrm{.}625\frac{W}{m-K},$ Viscosity $2\mathrm{.}30k\frac{g}{h}-m,$ Density $990k\frac{g}{m^3},$

$Pr=4\mathrm{.}3,$ Volume coefficient of expansion $3\mathrm{.}19{10}^{-3}{K}^{-1}.$