ОБ ОДНОЙ ГРАНИЧНОЙ ЗАДАЧЕ ТЕОРИИ УСТАНОВИВШЕЙСЯ ФИЛЬТРАЦИИ ЖИДКОСТИ

МЕХАНИКА

Abstract

Two adjacent spatial boundary problems of the steady filtration theory fluids in porous subgrade layer of finite or infinite capacity, where on the one surface of the layer, vertical velocity or pressure is given, i.e. for a layer of final height or a semi-space, when on the upper surface of a layer, the speeds or pressures are set are considered, and the lower surface of the layer is non water-permeable are considered. Based on Darcy's law and the continuity equation at steady filtering, these tasks are formulated in the form of boundary value problems for the velocity potential or piezometric pressure. Using the Fourier integrated transformation
combined with Hankel's transform, the explicit expressions of the velocity potential are obtained and the velocity and pressure fields are defined.