With the purpose of minimizing wet perimeter, limited by the average flow, this paper deduces the nonliner programming models of the cross-section of lined canal by method of lagrangian multipliers.

• 以湿周最小为目标函数，均匀流公式为约束条件，应用拉格朗日乘子法求解，推导配水衬砌渠道横断面的非线性规划模型。