ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (4): 327-336.

ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA

黄军琪, 刘慈群

收稿日期:1985-05-15 出版日期:1986-04-18 发布日期:1986-04-18

ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA

Huang Jun-qi, Liu Ci-qun

Research Division of Fluid Dynamics in Porous Media, Lanzhou, Academy of Sciences of China

Received:1985-05-15 Online:1986-04-18 Published:1986-04-18

摘要/Abstract

摘要： The mathematical model for radial transport of a solute is summed up in this paper. The action of non-equilibrium linear adsorption, the double property of porous media and the decay of solute are considered. With the first kind of boundary condition, one finds the analytical solution of these equations by Laplace transform and calculates the dimensionless solution by FORTRAN program with DJS-040. The distribution and change of solute are evaluated and the solution under various limit cases is given. By numerical analysis, one obtains some valuable conclusions.

关键词: rod with variable cross-section, axial extensibility, post-buckling, shooting method, numerical solution

Abstract: The mathematical model for radial transport of a solute is summed up in this paper. The action of non-equilibrium linear adsorption, the double property of porous media and the decay of solute are considered. With the first kind of boundary condition, one finds the analytical solution of these equations by Laplace transform and calculates the dimensionless solution by FORTRAN program with DJS-040. The distribution and change of solute are evaluated and the solution under various limit cases is given. By numerical analysis, one obtains some valuable conclusions.

Key words: rod with variable cross-section, axial extensibility, post-buckling, shooting method, numerical solution

黄军琪;刘慈群. ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(4): 327-336.

Huang Jun-qi;Liu Ci-qun. ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(4): 327-336.

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ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA

ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA

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