Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium

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

Research output: Contribution to journalArticle

Abstract

This paper presents a study on space fractional anomalous convective-diffusion and chemical reaction in the magneto-hydrodynamic fluid over an unsteady stretching sheet. The fractional diffusion model is derived from decoupled continuous time random walks in a heterogeneous porous medium. A novel transformation which features time finite difference is introduced to reduce the governing equations into ordinary differential ones in each time level. Numerical solutions are established by an implicit finite difference scheme. The stability and convergence of the method are analyzed. Results show that increasing fractional derivative parameter enhances concentration near the surface while an opposite phenomenon occurs far away from the wall. There is a reduction of mass transfer rate on the sheet with an increase in the fractional derivative parameter. Moreover, the numerical solutions are compared with exact solutions and good agreement has been observed.

Original languageEnglish
Number of pages14
JournalComputers and Mathematics with Applications
Early online date15 May 2019
DOIs
Publication statusE-pub ahead of print - 15 May 2019

Fingerprint

Heterogeneous Porous Media
MHD Flow
Mass Transfer
Fractional Derivative
Magnetohydrodynamics
Chemical Reaction
Porous materials
Chemical reactions
Fractional
Mass transfer
Numerical Solution
Derivatives
Fractional Diffusion
Stretching Sheet
Continuous Time Random Walk
Diffusion Model
Stability and Convergence
Finite Difference Scheme
Ordinary differential equations
Stretching

Keywords

  • Anomalous diffusion
  • Finite difference method
  • Heterogeneous porous medium
  • Stability and convergence
  • Unsteady stretching sheet

Cite this

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abstract = "This paper presents a study on space fractional anomalous convective-diffusion and chemical reaction in the magneto-hydrodynamic fluid over an unsteady stretching sheet. The fractional diffusion model is derived from decoupled continuous time random walks in a heterogeneous porous medium. A novel transformation which features time finite difference is introduced to reduce the governing equations into ordinary differential ones in each time level. Numerical solutions are established by an implicit finite difference scheme. The stability and convergence of the method are analyzed. Results show that increasing fractional derivative parameter enhances concentration near the surface while an opposite phenomenon occurs far away from the wall. There is a reduction of mass transfer rate on the sheet with an increase in the fractional derivative parameter. Moreover, the numerical solutions are compared with exact solutions and good agreement has been observed.",
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Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium. / Liu, Chunyan; Zheng, Liancun; Pan, Mingyang; Lin, Ping; Liu, Fawang.

In: Computers and Mathematics with Applications, 15.05.2019.

Research output: Contribution to journalArticle

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T1 - Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium

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AU - Zheng, Liancun

AU - Pan, Mingyang

AU - Lin, Ping

AU - Liu, Fawang

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