中国物理B ›› 2022, Vol. 31 ›› Issue (8): 84703-084703.doi: 10.1088/1674-1056/ac4236

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Physical aspects of magnetized Jeffrey nanomaterial flow with irreversibility analysis

Fazal Haq1,†, Muhammad Ijaz Khan2,3, Sami Ullah Khan4, Khadijah M Abualnaja5, and M A El-Shorbagy6,7   

  1. 1 Department of Mathematics, Karakoram International University Main Campus, Gilgit 15100, Pakistan;
    2 Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan;
    3 Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China;
    4 Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
    5 Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia;
    6 Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;
    7 Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt
  • 收稿日期:2021-10-11 修回日期:2021-12-05 接受日期:2021-12-11 出版日期:2022-07-18 发布日期:2022-07-23
  • 通讯作者: Fazal Haq E-mail:fazal.haq@kiu.edu.pk
  • 基金资助:
    This research was supported by Taif University Researchers Supporting Project (Grant No. TURSP-2020/217), Taif University, Taif, Saudi Arabia.

Physical aspects of magnetized Jeffrey nanomaterial flow with irreversibility analysis

Fazal Haq1,†, Muhammad Ijaz Khan2,3, Sami Ullah Khan4, Khadijah M Abualnaja5, and M A El-Shorbagy6,7   

  1. 1 Department of Mathematics, Karakoram International University Main Campus, Gilgit 15100, Pakistan;
    2 Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan;
    3 Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China;
    4 Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
    5 Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia;
    6 Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;
    7 Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt
  • Received:2021-10-11 Revised:2021-12-05 Accepted:2021-12-11 Online:2022-07-18 Published:2022-07-23
  • Contact: Fazal Haq E-mail:fazal.haq@kiu.edu.pk
  • Supported by:
    This research was supported by Taif University Researchers Supporting Project (Grant No. TURSP-2020/217), Taif University, Taif, Saudi Arabia.

摘要: This research presents the applications of entropy generation phenomenon in incompressible flow of Jeffrey nanofluid in the presence of distinct thermal features. The novel aspects of various features, such as Joule heating, porous medium, dissipation features, and radiative mechanism are addressed. In order to improve thermal transportation systems based on nanomaterials, convective boundary conditions are introduced. The thermal viscoelastic nanofluid model is expressed in terms of differential equations. The problem is presented via nonlinear differential equations for which analytical expressions are obtained by using the homotopy analysis method (HAM). The accuracy of solution is ensured. The effective outcomes of all physical parameters associated with the flow model are carefully examined and underlined through various curves. The observations summarized from current analysis reveal that the presence of a permeability parameter offers resistance to the flow. A monotonic decrement in local Nusselt number is noted with Hartmann number and Prandtl number. Moreover, entropy generation and Bejan number increases with radiation parameter and fluid parameter.

关键词: Jeffrey nonmaterial, entropy generation, magnetohydrodynamics (MHD), Bejan number, porous medium, Brownian motion

Abstract: This research presents the applications of entropy generation phenomenon in incompressible flow of Jeffrey nanofluid in the presence of distinct thermal features. The novel aspects of various features, such as Joule heating, porous medium, dissipation features, and radiative mechanism are addressed. In order to improve thermal transportation systems based on nanomaterials, convective boundary conditions are introduced. The thermal viscoelastic nanofluid model is expressed in terms of differential equations. The problem is presented via nonlinear differential equations for which analytical expressions are obtained by using the homotopy analysis method (HAM). The accuracy of solution is ensured. The effective outcomes of all physical parameters associated with the flow model are carefully examined and underlined through various curves. The observations summarized from current analysis reveal that the presence of a permeability parameter offers resistance to the flow. A monotonic decrement in local Nusselt number is noted with Hartmann number and Prandtl number. Moreover, entropy generation and Bejan number increases with radiation parameter and fluid parameter.

Key words: Jeffrey nonmaterial, entropy generation, magnetohydrodynamics (MHD), Bejan number, porous medium, Brownian motion

中图分类号:  (Magnetohydrodynamics and electrohydrodynamics)

  • 47.65.-d
47.65.Gx (Electrorheological fluids) 96.12.St (Heat flow) 91.35.Dc (Heat flow; geothermy)