A NOVEL-TYPE SOLUTION OF THE CONVECTION-DIFFUSION EQUATION FOR POROUS MEDIA

摘要：

　　A new method for modelling of the simultaneous convection and diffusion processes through porous media is given.It is based on the extended tanh-method,leading to travelling wave-type solutions and requires application of a Riccati-type ordinary differential equation.It is shown,that this general method is in agreement with the classic descriptions of Rayleigh-type surface waves.A stochastic state-dependence is assigned to coefficients appearing in the Riccati-equation and its solution obtained here reproduce the earlier basic results and may serve as a basis for effective new modelling methods of the problem by use of a particular recursive series.

关键词： convection diffusion travelling wave Riccati equation symbolic computation

作者: Cs.Mészáros I.Farkas K.Gottschalk L.Székely (A).Bálint

作者单位: Szent István University,Department of Physics and Process Control Páter K.u.1.,G(O)d(O)ll(O),H-2103, Leibniz Institut für Agrartechnik,ATB Potsdam Bornim,Germany Szent István University,Institute of Mathematics and Informatics Páter K.u.1.,G(o)d(o)ll(o),H-2103,H Szent István University,Department of Chemistry and Biochemistry Páter K.u.1.,G(o)d(o)ll(o),H-2103,H

会议类型: 国际会议

会议名称: The 18th International Drying Symposium Conference(第十八届国际干燥学术大会(IDS2012))

会议地点: 厦门

会议语种:英文

页码: 1-8

在线出版日期: 2012-01-11（万方平台首次上网日期，不代表论文的发表时间）