Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform.

ABSTRACT: Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady convection-diffusion-reaction (CDR) equation, which is classified in mathematics as a linear, parabolic partial-differential equation. The availability of analytic solutions is limited to simple cases, e.g., unsteady diffusion and steady convective diffusion. The CDR equation has been considered analytically intractable, depending on the initial and boundary conditions. If spatial adsorption and desorption of matter are super-positioned in the CDR equation as sink and source functions, respectively, then the governing equation becomes an unsteady convection-diffusion-reaction-source (CDRS) equati

SUBMITTER: Kim AS 

PROVIDER: S-EPMC7228951 | biostudies-literature | 2020 May

REPOSITORIES: biostudies-literature