An integral solution of moving boundary problems

摘要: Abstract An integral method is presented that utilizes Galerkin functions and leads to closed-form solutions for temperature distribution in the liquid solid phase. Unlike methods using quasi-steady assumptions, this retains contribution of internal heat capacity liquid, therefore, accommodating problems involving time-dependent along boundary. The applied classical one- two-dimensional solidification test its accuracy. agreement between existing one-dimensional boundary-layer excellent. results a square geometry are compared experimental data obtained octadecane.