中国物理B ›› 2022, Vol. 31 ›› Issue (6): 64403-064403.doi: 10.1088/1674-1056/ac3a5d

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Influences of Marangoni convection and variable magnetic field on hybrid nanofluid thin-film flow past a stretching surface

Noor Wali Khan1, Arshad Khan2,†, Muhammad Usman1, Taza Gul1,3, Abir Mouldi4, and Ameni Brahmia5   

  1. 1 Department of Mathematics, City University of Science and IT, Peshawar 25000, Pakistan;
    2 College of Aeronautical Engineering, National University of Sciences and Technology(NUST), Sector H-12, Islamabad 44000, Pakistan;
    3 Higher Education Archives and Libraries Department KP, Govt. Superior Science College, Peshawar, Pakistan;
    4 Department of Industrial Engineering, College of Engineering, King Khalid University, Abha 61421, KSA;
    5 Chemistry Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
  • 收稿日期:2021-09-12 修回日期:2021-10-23 接受日期:2021-11-17 出版日期:2022-05-17 发布日期:2022-05-17
  • 通讯作者: Arshad Khan E-mail:arshad8084@gmail.com
  • 基金资助:
    We thank the Deanship of Scientific Research at King Khalid University for funding this work through research groups (Grant No. RGP.1/260/42).

Influences of Marangoni convection and variable magnetic field on hybrid nanofluid thin-film flow past a stretching surface

Noor Wali Khan1, Arshad Khan2,†, Muhammad Usman1, Taza Gul1,3, Abir Mouldi4, and Ameni Brahmia5   

  1. 1 Department of Mathematics, City University of Science and IT, Peshawar 25000, Pakistan;
    2 College of Aeronautical Engineering, National University of Sciences and Technology(NUST), Sector H-12, Islamabad 44000, Pakistan;
    3 Higher Education Archives and Libraries Department KP, Govt. Superior Science College, Peshawar, Pakistan;
    4 Department of Industrial Engineering, College of Engineering, King Khalid University, Abha 61421, KSA;
    5 Chemistry Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
  • Received:2021-09-12 Revised:2021-10-23 Accepted:2021-11-17 Online:2022-05-17 Published:2022-05-17
  • Contact: Arshad Khan E-mail:arshad8084@gmail.com
  • Supported by:
    We thank the Deanship of Scientific Research at King Khalid University for funding this work through research groups (Grant No. RGP.1/260/42).

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摘要： Investigations on thin-film flow play a vital role in the field of optoelectronics and magnetic devices. Thin films are reasonably hard and thermally stable but quite fragile. The thermal stability of a thin film can be further improved by incorporating the effects of nanoparticles. In the current work, a stretchable surface is considered upon which hybrid nanofluid thin-film flow is taken into account. The idea of augmenting heat transmission by making use of a hybrid nanofluid is a focus of the current work. The flow is affected by variations in the viscous forces, along with viscous dissipation effects and Marangoni convection. A time-constrained magnetic field is applied in the normal direction to the flow system. The equations governing the flow system are shifted to a non-dimensional form by applying similarity variables. The homotopy analysis method is employed to find the solution to the resultant equations. It is noticed in this study that the flow characteristics decline with augmentation of magnetic, viscosity and unsteadiness parameters while they increase with enhanced values of thin-film parameters. Thermal characteristics are supported by increasing values of the Eckert number and the unsteadiness parameter and opposed by the viscosity parameter and Prandtl number. The numerical impact of different emerging parameters upon skin friction and the Nusselt number is calculated in tabular form. A comparison of current work with established results is carried out, with good agreement.

关键词: thin-film flow, hybrid nanofluid, viscous dissipation, stretching surface, homotopy analysis method

Abstract: Investigations on thin-film flow play a vital role in the field of optoelectronics and magnetic devices. Thin films are reasonably hard and thermally stable but quite fragile. The thermal stability of a thin film can be further improved by incorporating the effects of nanoparticles. In the current work, a stretchable surface is considered upon which hybrid nanofluid thin-film flow is taken into account. The idea of augmenting heat transmission by making use of a hybrid nanofluid is a focus of the current work. The flow is affected by variations in the viscous forces, along with viscous dissipation effects and Marangoni convection. A time-constrained magnetic field is applied in the normal direction to the flow system. The equations governing the flow system are shifted to a non-dimensional form by applying similarity variables. The homotopy analysis method is employed to find the solution to the resultant equations. It is noticed in this study that the flow characteristics decline with augmentation of magnetic, viscosity and unsteadiness parameters while they increase with enhanced values of thin-film parameters. Thermal characteristics are supported by increasing values of the Eckert number and the unsteadiness parameter and opposed by the viscosity parameter and Prandtl number. The numerical impact of different emerging parameters upon skin friction and the Nusselt number is calculated in tabular form. A comparison of current work with established results is carried out, with good agreement.

Key words: thin-film flow, hybrid nanofluid, viscous dissipation, stretching surface, homotopy analysis method

中图分类号:  (Channel and internal heat flow)

  • 44.15.+a
47.27.nd (Channel flow) 47.15.gm (Thin film flows)