For a heat flux (Q/A)0 = 4 ¥ 106 W/m2 and the following material properties, estimate the steady-state ablation velocity and the fraction Qc/Q0 in 30s. At what distance x is the temperature equal to...

For a heat flux (Q/A)0 = 4 ¥ 106 W/m2 and the following material properties, estimate the steady-state ablation velocity and the fraction Qc/Q0 in 30s. At what distance x is the temperature equal to 60°C? In 30 s how much material has ablated? Given:
 = 1602 kg/m³, c = 1256 J/kg K, k = 0.86 W/m K, F = 9300 J/kg, T_m
= 1650°C and
 = 20°C.