An Analytic Solution of the Shape of an Inclined, Partially Filled Membrane Container

J. Ocean Eng. Technol. 2007;21(1):45-50.

Choi, Yoon-Rak;

School of Naval Architecture and Ocean Engineering, University of Ulsan;

경사면에 놓인 유체 저장용 막구조물 형상의 이론적 해석

최윤락;

울산대학교 조선해양공학부;

Keywords: Inclined partially filled membrane structure, Analytic solution of the shape, A point of inflection, Elliptic integrals

핵심용어: 경사면에 놓인 유체저장용 막구조물, 형상의 해석적 해, 변곡점, 타원적분

Abstract

For a long partially-filled membrane container on an incline, the analytic solution of the similarity shape is studied. The nonlinear equation is solved and its solution is expressed as elliptic integrals, which include an unknown at the point of inflection. The point of inflection is determined by using the boundary condition at the upper separating point. Some characteristic values of the universal shape are evaluated, as the functions of inclination angle and shapes are illustrated for some cases.