期刊
JOURNAL OF MOLECULAR LIQUIDS
卷 341, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.molliq.2021.117351
关键词
Scott-Blair model; Fractional derivative; Unequal Diffusivities; Forchheimer Medium; Viscoelastic fluid
This study focuses on the numerical investigation of fractional viscoelastic models with unsteady convection and Forchheimer medium. By introducing the generalized Scott-Bliar model and Caput-type fractional derivatives, the viscoelastic features and reactions in the constitutive relations are explored. Homogeneous-heterogeneous reactions in the flow domain cause concentration variations, leading to long-lasting chemical species.
Owing to the fact that fractional viscoelastic models contribute significantly with application point of view, a good number of researchers have diverted their attention to this area. In the current study, we have carried out a numerical investigation of the fractional viscoelastic fluid model with unsteady convection, on an inclined plane, via Forchheimer medium. Furthermore, we have presented the generalized Scott-Bliar model to Caput-type fractional derivatives with homogeneous-heterogeneous reactions in the constitutive relations. The viscoelastic features of the proposed model are explored by introducing three memory parameters. The homogeneous-heterogeneous reactions in the flow domain cause variations in the concentration, leading to one of the long-lasting chemical species. One can witness the homogeneous reactions in the flowing region, whereas the heterogeneous reactions occur at the boundary. A broader cluster of physical and chemical processes is tackled by considering diffusion coefficients of a different order. The well-known finite difference technique combined with the L-1 algorithm is utilized to discretize the principal nonlinear boundary layer equations. The proposed numerical scheme is being validated by performing error and convergence analysis so that a thorough investigation of the chemical reaction process through the Forchheimer medium in the viscoelastic fluid model may be carried out. The proposed mathematical approach may be regarded as a valuable technique for studying the viscoelastic model and chemical reaction processes in a fluid to formulate schemes dealing with unsteady convection. Resultantly, this model can be utilized in the chemical industry. (C) 2021 Published by Elsevier B.V.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据