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Significance of Weissenberg Number, Soret Effect and Multiple Slips on the Dynamic of Biconvective Magnetohydrodynamic Carreau Nanofuid Flow

Author

Listed:
  • Pardeep Kumar

    (Department of Mathematics and Statistics, Chaudhary Charan Singh Haryana Agricultural University, Hisar 125004, India
    These authors contributed equally to this work and they are co-first authors.)

  • Hemant Poonia

    (Department of Mathematics and Statistics, Chaudhary Charan Singh Haryana Agricultural University, Hisar 125004, India)

  • Liaqat Ali

    (School of Sciences, Xi’an Technological University, Xi’an 710021, China
    These authors contributed equally to this work and they are co-first authors.)

  • Nehad Ali Shah

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
    These authors contributed equally to this work and they are co-first authors.)

  • Jae Dong Chung

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea)

Abstract

This study focused on the analysis of two-dimensional incompressible magnetohydrodynamic Carreau nanofluid flow across a stretching cylinder containing microorganisms with the impacts of chemical reactions and multiple slip boundary conditions. Moreover, the main objective is concerned with the enhancement of thermal transportation with the effect of heat source and bioconvection. By assigning pertinent similarity transitions to the governing partial differential equations, a series of equations (ODES) is generated. An optimum computational solver, namely the bvp5c software package, is utilized for numerical estimations. The impact of distinct parameters on thermal expansion, thermophoresis, and the Nusselt number has been emphasized, employing tables, diagrams, and surface maps for both shear thinning ( n < 1) and shear thickening ( n > 1) instances. Motile concentration profiles decrease with L b and the motile microorganism density slip parameter. It is observed that with increasing values of P r , both the boundary layer thickness and temperature declined in both cases. The Weissenberg number demonstrates a different nature depending on the type of fluid; skin friction, the velocity profile and Nusselt number drop when n < 1 and increase when n > 1. The two- and three-dimensional graphs show the simultaneous effect of involving parameters with physical quantities. The accuracy of the existing observations is evidenced by the impressive resemblance between the contemporary and preceding remedies.

Suggested Citation

  • Pardeep Kumar & Hemant Poonia & Liaqat Ali & Nehad Ali Shah & Jae Dong Chung, 2023. "Significance of Weissenberg Number, Soret Effect and Multiple Slips on the Dynamic of Biconvective Magnetohydrodynamic Carreau Nanofuid Flow," Mathematics, MDPI, vol. 11(7), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1685-:d:1113228
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    References listed on IDEAS

    as
    1. Saif Ur Rehman & Nageen Fatima & Bagh Ali & Muhammad Imran & Liaqat Ali & Nehad Ali Shah & Jae Dong Chung, 2022. "The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface," Mathematics, MDPI, vol. 10(16), pages 1-14, August.
    2. Hsiao, Kai-Long, 2017. "To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method," Energy, Elsevier, vol. 130(C), pages 486-499.
    3. Naveed Khan & Farhad Ali & Muhammad Arif & Zubair Ahmad & Aamina Aamina & Ilyas Khan, 2021. "Maxwell Nanofluid Flow over an Infinite Vertical Plate with Ramped and Isothermal Wall Temperature and Concentration," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-19, September.
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