Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (4): 481-498.doi: https://doi.org/10.1007/s10483-019-2464-8

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Entropy generation analysis of natural convective radiative second grade nanofluid flow between parallel plates in a porous medium

K. RAMESH, O. OJJELA   

  1. Department of Applied Mathematics, Defence Institute of Advanced Technology, Pune 411025, India
  • 收稿日期:2018-07-28 修回日期:2018-09-13 出版日期:2019-04-01 发布日期:2019-04-01
  • 通讯作者: O. OJJELA E-mail:odelu@diat.ac.in
  • 基金资助:

    Project supported by the Senior Research Fellowship of the Defence Research and Development Organization (No. DIAT/F/Acad(Ph.D.)/1613/15-52-12)

Entropy generation analysis of natural convective radiative second grade nanofluid flow between parallel plates in a porous medium

K. RAMESH, O. OJJELA   

  1. Department of Applied Mathematics, Defence Institute of Advanced Technology, Pune 411025, India
  • Received:2018-07-28 Revised:2018-09-13 Online:2019-04-01 Published:2019-04-01
  • Contact: O. OJJELA E-mail:odelu@diat.ac.in
  • Supported by:

    Project supported by the Senior Research Fellowship of the Defence Research and Development Organization (No. DIAT/F/Acad(Ph.D.)/1613/15-52-12)

摘要:

The present article explores the entropy generation of radiating viscoelastic second grade nanofluid in a porous channel confined between two parallel plates. The boundaries of the plates are maintained at distinct temperatures and concentrations while the fluid is being sucked and injected periodically through upper and lower plates. The buoyancy forces, thermophoresis and Brownian motion are also considered due to the temperature and concentration differences across the channel. The system of governing partial differential equations has been transferred into a system of ordinary differential equations (ODEs) by appropriate similarity relations, and a shooting method with the fourth-order Runge-Kutta scheme is used for the solutions. The results are analyzed in detail for dimensionless velocity components. The temperature, concentration distributions, the entropy generation number, and the Bejan number corresponding to various fluid and geometric parameters are shown graphically. The skin friction, heat and mass transfer rates are presented in the form of tables. It is noticed that the temperature profile of the fluid is enhanced with the Brownian motion, whereas the concentration profile of the fluid is decreased with the thermophoresis parameter, and the entropy and Bejan numbers exhibit the opposite trend for the suction and injection ratio.

关键词: general solution, noncommutative ring, construction of solution, conjugate operator, shooting method, thermal radiation, thermophoresis, nanofluid, Brownian motion

Abstract:

The present article explores the entropy generation of radiating viscoelastic second grade nanofluid in a porous channel confined between two parallel plates. The boundaries of the plates are maintained at distinct temperatures and concentrations while the fluid is being sucked and injected periodically through upper and lower plates. The buoyancy forces, thermophoresis and Brownian motion are also considered due to the temperature and concentration differences across the channel. The system of governing partial differential equations has been transferred into a system of ordinary differential equations (ODEs) by appropriate similarity relations, and a shooting method with the fourth-order Runge-Kutta scheme is used for the solutions. The results are analyzed in detail for dimensionless velocity components. The temperature, concentration distributions, the entropy generation number, and the Bejan number corresponding to various fluid and geometric parameters are shown graphically. The skin friction, heat and mass transfer rates are presented in the form of tables. It is noticed that the temperature profile of the fluid is enhanced with the Brownian motion, whereas the concentration profile of the fluid is decreased with the thermophoresis parameter, and the entropy and Bejan numbers exhibit the opposite trend for the suction and injection ratio.

Key words: general solution, noncommutative ring, construction of solution, conjugate operator, Brownian motion, shooting method, nanofluid, thermophoresis, thermal radiation

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