3种热平衡积分法结果的比较

A Comparison of Three Integral Methods

运用传统的、改进的和替换的热平衡积分法求解了一维单相融化问题,在不依赖精确解的情况下比较了3种积分方法近似解的精度.结果表明:在固定温度边界条件下选取二次函数近似时,传统的热平衡积分法较改进的和替换的热平衡积分法更准确,随着Stefan数的减小,3种积分法结果的误差都在减小.

The one-phase melting problem is solved by using conventional,refined and alternative refined heat balance integral method.The accuracy of the approximate solutions is compared requiring no knowledge of the exact solution.It is found that the conventional integral method is more accurate under the constant tempera-ture boundary condition than the refined and alternative refined integral method when using the quadratic func-tion,and as the Stefan numberbecomes smaller,the errors of the integral methods become smaller.