Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (4): 459-470.doi: https://doi.org/10.1007/s10483-016-2047-9

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Flow of Casson fluid with nanoparticles

T. HAYAT1,2, S. ASAD3, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University 45320, 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;
    3. Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt 47040, Pakistan
  • 收稿日期:2015-06-01 修回日期:2015-11-16 出版日期:2016-04-01 发布日期:2016-04-01
  • 通讯作者: S. ASAD E-mail:asadsadia@ymail.com

Flow of Casson fluid with nanoparticles

T. HAYAT1,2, S. ASAD3, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University 45320, 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;
    3. Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt 47040, Pakistan
  • Received:2015-06-01 Revised:2015-11-16 Online:2016-04-01 Published:2016-04-01
  • Contact: S. ASAD E-mail:asadsadia@ymail.com

摘要:

The boundary layer flow of a Casson fluid due to a stretching cylinder is discussed in the presence of nanoparticles and thermal radiation. All physical properties of the Casson fluid except the thermal conductivity are taken constant. Appropriate transformations yield the nonlinear ordinary differential systems. Convergent series solutions are developed and analyzed. The numerical results for the local Nusselt and Sherwood numbers are demonstrated. It is found that an increase in the strength of the Brownian motion decays the temperature noticeably. However, the rate of heat transfer and the concentration of the nanoparticles at the surface increase for larger Brownian motion parameters.

关键词: Casson fluid, nanofluid, stretching cylinder

Abstract:

The boundary layer flow of a Casson fluid due to a stretching cylinder is discussed in the presence of nanoparticles and thermal radiation. All physical properties of the Casson fluid except the thermal conductivity are taken constant. Appropriate transformations yield the nonlinear ordinary differential systems. Convergent series solutions are developed and analyzed. The numerical results for the local Nusselt and Sherwood numbers are demonstrated. It is found that an increase in the strength of the Brownian motion decays the temperature noticeably. However, the rate of heat transfer and the concentration of the nanoparticles at the surface increase for larger Brownian motion parameters.

Key words: nanofluid, Casson fluid, stretching cylinder

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