Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (10): 1347-1356.doi: https://doi.org/10.1007/s10483-017-2250-6

• 论文 •    下一篇

Cattaneo-Christov heat and mass flux model for 3D hydrodynamic flow of chemically reactive Maxwell liquid

S. A. SHEHZAD1, T. HAYAT2,3, A. ALSAEDI3, M. A. MERAJ1   

  1. 1. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan;
    2. Department of Mathematics, Quaid-i-Azam University, Islamabad 4000, Pakistan;
    3. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 收稿日期:2017-03-19 修回日期:2017-05-08 出版日期:2017-10-01 发布日期:2017-10-01
  • 通讯作者: S. A. SHEHZAD E-mail:ali qau70@yahoo.com

Cattaneo-Christov heat and mass flux model for 3D hydrodynamic flow of chemically reactive Maxwell liquid

S. A. SHEHZAD1, T. HAYAT2,3, A. ALSAEDI3, M. A. MERAJ1   

  1. 1. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan;
    2. Department of Mathematics, Quaid-i-Azam University, Islamabad 4000, Pakistan;
    3. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Received:2017-03-19 Revised:2017-05-08 Online:2017-10-01 Published:2017-10-01
  • Contact: S. A. SHEHZAD E-mail:ali qau70@yahoo.com

摘要:

This research focuses on the Cattaneo-Christov theory of heat and mass flux for a three-dimensional Maxwell liquid towards a moving surface. An incompressible laminar flow with variable thermal conductivity is considered. The flow generation is due to the bidirectional stretching of sheet. The combined phenomenon of heat and mass transport is accounted. The Cattaneo-Christov model of heat and mass diffusion is used to develop the expressions of energy and mass species. The first-order chemical reaction term in the mass species equation is considered. The boundary layer assumptions lead to the governing mathematical model. The homotopic simulation is adopted to visualize the results of the dimensionless flow equations. The graphs of velocities, temperature, and concentration show the effects of different arising parameters. A numerical benchmark is presented to visualize the convergent values of the computed results. The results show that the concentration and temperature fields are decayed for the Cattaneo-Christov theory of heat and mass diffusion.

关键词: Maxwell liquid, chemical reactive flow, circular cylindrical shell, non-circular cutout, Stress concentration, complex variable method and conformal mapping technique, Cattaneo-Christov theory, temperature-dependent conductivity

Abstract:

This research focuses on the Cattaneo-Christov theory of heat and mass flux for a three-dimensional Maxwell liquid towards a moving surface. An incompressible laminar flow with variable thermal conductivity is considered. The flow generation is due to the bidirectional stretching of sheet. The combined phenomenon of heat and mass transport is accounted. The Cattaneo-Christov model of heat and mass diffusion is used to develop the expressions of energy and mass species. The first-order chemical reaction term in the mass species equation is considered. The boundary layer assumptions lead to the governing mathematical model. The homotopic simulation is adopted to visualize the results of the dimensionless flow equations. The graphs of velocities, temperature, and concentration show the effects of different arising parameters. A numerical benchmark is presented to visualize the convergent values of the computed results. The results show that the concentration and temperature fields are decayed for the Cattaneo-Christov theory of heat and mass diffusion.

Key words: circular cylindrical shell, non-circular cutout, Stress concentration, complex variable method and conformal mapping technique, Maxwell liquid, temperature-dependent conductivity, chemical reactive flow, Cattaneo-Christov theory

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