Chapter 10, Problem 10.32P

Consider a horizontal. $D=1$ -mm-diameter platinum wire suspended in saturated water at atmospheric pressure. The wire is heated by an electrical current. Determine the heat flux from the wire at the instant when the surface of the wire reaches its melting point. Determine the corresponding centerline temperature of the wire. Due to oxidation at very high temperature, the wire emissivity is $\epsilon =0.80$ when it burns out. The water vapor properties at the film temperature of 1209K are ${\rho }_v=0.189{\text{kg/m}}^3$ , $c_{p,\upsilon }=2404\text{J/kg}\cdot \text{K}$ , $v_{\upsilon }=231\times {10}^{-6}{\text{m}}^2\text{/s}$ , $k_{\upsilon }=0.113\text{W/m}\cdot \text{K}$ .