Anomalous diffusion in rotating Casson fluid through a porous medium

Chunyan Liu, Liancun Zheng (Lead / Corresponding author), Ping Lin, Mingyang Pan, Fawang Liu

Research output: Contribution to journalArticle

4 Citations (Scopus)
7 Downloads (Pure)

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.

Original languageEnglish
Article number121431
Pages (from-to)1-12
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume528
Early online date10 May 2019
DOIs
Publication statusPublished - 15 Aug 2019

Keywords

  • Anomalous diffusion
  • Arrhenius reaction
  • Casson fluid
  • Implicit finite difference scheme
  • Stability and convergence

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