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Anomalous diffusion in rotating Casson fluid through a porous medium

Author

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  • Liu, Chunyan
  • Zheng, Liancun
  • Lin, Ping
  • Pan, Mingyang
  • Liu, Fawang

Abstract

This paper investigates the space-fractional anomalous diffusion in unsteady Casson fluid through a porous medium, based on an uncoupled continuous time random walk. The influences of binary chemical reaction and activation energy between two horizontal rotating parallel plates are taken into account. The governing equations of motion are reduced to a set of nonlinear differential equations by time derivatives discretization and generalized transformation, which are solved by bvp4c and implicit finite difference method (IFDM). Stability and convergence of IFDM are proved and some numerical comparisons to the previous study are presented with excellent agreement. The effects of involved physical parameters such as fractional derivative parameter, rotation parameter and time parameter are presented and analyzed through graphs. Results indicate that the increase of fractional derivative parameter triggers concentration increase near the lower plate, while it causes a reduction near the upper plate. It is worth mentioning that the decrease of heat transfer rate on the plate is observed with the higher time parameter.

Suggested Citation

  • Liu, Chunyan & Zheng, Liancun & Lin, Ping & Pan, Mingyang & Liu, Fawang, 2019. "Anomalous diffusion in rotating Casson fluid through a porous medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
    • Handle: RePEc:eee:phsmap:v:528:y:2019:i:c:s0378437119308350
    DOI: 10.1016/j.physa.2019.121431
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    Cited by:

    1. Feng, Libo & Turner, Ian & Moroney, Timothy & Liu, Fawang, 2022. "An investigation of space distributed-order models for simulating anomalous transport in a binary medium," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    2. Reddy, M. Gnaneswara & Rani, M.V. V. N.L. Sudha & Kumar, K. Ganesh & Prasannakumar, B.C. & Chamkha, Ali J., 2020. "Cattaneo–Christov heat flux model on Blasius–Rayleigh–Stokes flow through a transitive magnetic field and Joule heating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).

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