항류와 왕복성 흐름이 존재하는 등밀도 외해역에 투기되는 용존물질의 이동확산의 이론적 계산

Abstract

An anaytical model for predicting the convection-diffusion of solute dumped in a homogeneous open sea of constant water depth has been developed in a time-integral form. The model incorporates spatially uniform, uni-directional, mean and oscillatory currents for horizontal convection, the settling velocity for the vertical advection and anisotropic horizontal turbulent diffusion. Two transformations are introduced to reduce the convection-diffusion equation to Fickian type diffusion equation and then the Galerkin method is then applied via the expansion of eigenfunctions over the water column derived from the Sturm-Liouville problem.