Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (4): 501-512.doi: https://doi.org/10.1007/s10483-018-2313-8

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Variable viscosity in peristalsis of Sisko fluid

A. TANVEER1, T. HAYAT1,2, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 收稿日期:2017-06-16 修回日期:2017-09-25 出版日期:2018-04-01 发布日期:2018-04-01
  • 通讯作者: A. TANVEER, E-mail:anum@math.qau.edu.pk E-mail:anum@math.qau.edu.pk

Variable viscosity in peristalsis of Sisko fluid

A. TANVEER1, T. HAYAT1,2, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Received:2017-06-16 Revised:2017-09-25 Online:2018-04-01 Published:2018-04-01
  • Contact: A. TANVEER E-mail:anum@math.qau.edu.pk

摘要:

This paper aims to examine variable viscosity effects on peristalsis of Sisko fluids in a curved channel with compliant characteristics. Viscous dissipation in a heat transfer is studied. The resulting problems are solved using perturbation and numerical schemes to show qualitatively similar responses for velocity and temperature. A streamline phenomenon is also considered.

关键词: complicated system, dynamic problem, constraint forces, numerical and perturbation solution, Sisko fluid, wall property, peristalsis, viscous dissipation, curved channel

Abstract:

This paper aims to examine variable viscosity effects on peristalsis of Sisko fluids in a curved channel with compliant characteristics. Viscous dissipation in a heat transfer is studied. The resulting problems are solved using perturbation and numerical schemes to show qualitatively similar responses for velocity and temperature. A streamline phenomenon is also considered.

Key words: complicated system, dynamic problem, constraint forces, wall property, curved channel, viscous dissipation, peristalsis, Sisko fluid, numerical and perturbation solution

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