A boundary element method for solving 1D transient convective-diffusio
n equation with radiant heat flux and phase change moving interface is
developed. An analytical solution is also obtained in the case of lin
earizing radiant hear flux without being frozen, and there is excellen
t agreement between numerical and analytical results. The boundary ele
ment method is used ro analyze the frozen limitation of single pipe in
CPL condenser; some valuable numerical results for engineering design
are also given.