Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (4): 467-476.doi: https://doi.org/10.1007/s10483-018-2314-8

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Numerical simulation of chemically reactive Powell-Eyring liquid flow with double diffusive Cattaneo-Christov heat and mass flux theories

A. RAUF1,2, Z. ABBAS1, S. A. SHEHZAD2, A. ALSAEDI3, T. HAYAT3,4   

  1. 1. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan;
    2. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan;
    3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • 收稿日期:2017-07-19 修回日期:2017-09-15 出版日期:2018-04-01 发布日期:2018-04-01
  • 通讯作者: A. RAUF, E-mail:raufamar@ciitsahiwal.edu.pk E-mail:raufamar@ciitsahiwal.edu.pk

Numerical simulation of chemically reactive Powell-Eyring liquid flow with double diffusive Cattaneo-Christov heat and mass flux theories

A. RAUF1,2, Z. ABBAS1, S. A. SHEHZAD2, A. ALSAEDI3, T. HAYAT3,4   

  1. 1. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan;
    2. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan;
    3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • Received:2017-07-19 Revised:2017-09-15 Online:2018-04-01 Published:2018-04-01
  • Contact: A. RAUF E-mail:raufamar@ciitsahiwal.edu.pk

摘要:

A numerical study is reported for two-dimensional flow of an incompressible Powell-Eyring fluid by stretching the surface with the Cattaneo-Christov model of heat diffusion. Impacts of heat generation/absorption and destructive/generative chemical reactions are considered. Use of proper variables leads to a system of non-linear dimensionless expressions. Velocity, temperature and concentration profiles are achieved through a finite difference based algorithm with a successive over-relaxation (SOR) method. Emerging dimensionless quantities are described with graphs and tables. The temperature and concentration profiles decay due to enhancement in fluid parameters and Deborah numbers.

关键词: Z2×Z2-symmetry, double high order S-breaking bifurcation point, extended system, chemical reaction, finite difference, Powell-Eyring fluid, Cattaneo-Christov model

Abstract:

A numerical study is reported for two-dimensional flow of an incompressible Powell-Eyring fluid by stretching the surface with the Cattaneo-Christov model of heat diffusion. Impacts of heat generation/absorption and destructive/generative chemical reactions are considered. Use of proper variables leads to a system of non-linear dimensionless expressions. Velocity, temperature and concentration profiles are achieved through a finite difference based algorithm with a successive over-relaxation (SOR) method. Emerging dimensionless quantities are described with graphs and tables. The temperature and concentration profiles decay due to enhancement in fluid parameters and Deborah numbers.

Key words: Z2×Z2-symmetry, double high order S-breaking bifurcation point, extended system, Cattaneo-Christov model, finite difference, chemical reaction, Powell-Eyring fluid

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