Advective-diffusive mass transfer in binary regular structures in the steady-state regime

作者：Chaplya Yevhen; Chernukha Olha^*; Dmytruk Veronika

来源：Applied Mathematical Modelling, 2013, 37(9): 6191-6211.

DOI：10.1016/j.apm.2012.12.019

• Advective-diffusive process
• Binary periodical structure
• Mass flow
• Nonideal contact conditions
• Integral transformation

Having analyzed the stationary processes of admixture transfer in two-phase regular structures with taking into account periodical character of advective phenomena, we propose a method of constructing exact analytic solutions for such class of boundary value problems. This technique is based on the application of integral transformations individually for each contacting domain. The relation between these corresponding integral transformations is obtained from the nonideal boundary conditions. We have obtained the analytic solution of a diffusion problem for a two-phase layer of a regular structure with advective mass transfer mechanism in one of its phases. The expressions describing admixture flow through a certain body surface are derived, mass flows through the interface is investigated. Having analyzed the concentration of migrating particles in the structural elements of the body and the admixture flow through the given body surface, we present results graphically. The conditions of the existence of a limit passage from the contact boundary value problem of advective diffusion in regular structures to the continual model of advective two-way heterodiffusion are determined. A natural dimensionless form is introduced.

• 出版日期2013-5-1