Taylor dispersion in a packed pipe with wall reaction: Based on the method of Gill’s series solution

Unsteady Convective Diffusion with Interphase Mass Transfer in Casson Liquid

“…The studies on dispersion have been extensively applied to chemical engineering [1,2], environmental protection [3][4][5][6][7] and so many and so forth. The classical attempt of this type of investigation was initiated by Taylor [8] in 1953.…”

Preasymptotic Taylor dispersion: evolution from the initial condition

“…We neglect reaction, although the methods proposed are extendable to that case (cf. Wang et al 2015). Ultimately, our approach leads to an upscaled equation for a single chemical species that contains a non-conventional source term as follows:…”

Effects of Stenosis and Dilatation on Flow of Blood Mixed with Suspended Nanoparticles: A Study Using Homotopy Technique

“…As it is not possible to find out the closed-form solutions to the highly non-linear and coupled equations, the authors came with a highly interesting way to find out the asymptotic series solutions based on the perturbation methods. Wang et al [15] studied the concentration transport in the straight uniformly packed porous media in order to understand the Taylor diffusion by series solutions. Nevertheless, the perturbation methods have their own limitations, like considering the small parameter from the modeled equations which may not be always possible.…”