IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i7p1685-d1113228.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/7/1685/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/7/1685/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hussain, Arif & Ayub, Sadia & Salahuddin, T. & Khan, Mair & Altanji, Mohamed, 2024. "Numerical study of binary mixture and thermophoretic analysis near a solar radiative heat transfer," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    2. Fahd Almutairi & S.M. Khaled & Abdelhalim Ebaid, 2019. "MHD Flow of Nanofluid with Homogeneous-Heterogeneous Reactions in a Porous Medium under the Influence of Second-Order Velocity Slip," Mathematics, MDPI, vol. 7(3), pages 1-11, February.
    3. Saif, Rai Sajjad & Muhammad, Taseer & Sadia, Haleema & Ellahi, Rahmat, 2020. "Hydromagnetic flow of Jeffrey nanofluid due to a curved stretching surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    4. Hayat, Tasawar & Masood, Faria & Qayyum, Sumaira & Alsaedi, Ahmed, 2020. "Sutterby fluid flow subject to homogeneous–heterogeneous reactions and nonlinear radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    5. Pachiyappan Ragupathi & N. Ameer Ahammad & Abderrahim Wakif & Nehad Ali Shah & Yongseok Jeon, 2022. "Exploration of Multiple Transfer Phenomena within Viscous Fluid Flows over a Curved Stretching Sheet in the Co-Existence of Gyrotactic Micro-Organisms and Tiny Particles," Mathematics, MDPI, vol. 10(21), pages 1-18, November.
    6. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Attaullah & Haroon Ur Rasheed, 2023. "Analysis of Error and Stability of Nanofluid over Horizontal Channel with Heat/Mass Transfer and Nonlinear Thermal Conductivity," Mathematics, MDPI, vol. 11(3), pages 1-22, January.
    7. Zeeshan, A. & Bhatti, M.M. & Muhammad, Taseer & Zhang, Lijun, 2020. "Magnetized peristaltic particle–fluid propulsion with Hall and ion slip effects through a permeable channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    8. Naqvi, Syed Muhammad Raza Shah & Muhammad, Taseer & Saleem, Salman & Kim, Hyun Min, 2020. "Significance of non-uniform heat generation/absorption in hydromagnetic flow of nanofluid due to stretching/shrinking disk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    9. Ullah, Malik Zaka & Alshomrani, Ali Saleh & Alghamdi, Metib, 2020. "Significance of Arrhenius activation energy in Darcy–Forchheimer 3D rotating flow of nanofluid with radiative heat transfer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    10. M. Zubair Akbar Qureshi & Qadeer Raza & Aroosa Ramzan & M. Faisal & Bagh Ali & Nehad Ali Shah & Wajaree Weera, 2022. "Activation Energy Performance through Magnetized Hybrid Fe 3 O 4 – PP Nanofluids Flow with Impact of the Cluster Interfacial Nanolayer," Mathematics, MDPI, vol. 10(18), pages 1-14, September.
    11. Ahmed, Jawad & Khan, Masood & Ahmad, Latif, 2020. "Radiative heat flux effect in flow of Maxwell nanofluid over a spiraling disk with chemically reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    12. Mir Asma & W.A.M. Othman & Taseer Muhammad, 2019. "Numerical Study for Darcy–Forchheimer Flow of Nanofluid due to a Rotating Disk with Binary Chemical Reaction and Arrhenius Activation Energy," Mathematics, MDPI, vol. 7(10), pages 1-16, October.
    13. Khan, Sami Ullah & Shehzad, Sabir Ali, 2020. "Electrical MHD Carreau nanofluid over porous oscillatory stretching surface with variable thermal conductivity: Applications of thermal extrusion system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    14. Syed Muhammad Ali Haider & Bagh Ali & Qiuwang Wang & Cunlu Zhao, 2022. "Rotating Flow and Heat Transfer of Single-Wall Carbon Nanotube and Multi-Wall Carbon Nanotube Hybrid Nanofluid with Base Fluid Water over a Stretching Sheet," Energies, MDPI, vol. 15(16), pages 1-13, August.
    15. Ahmed Zeeshan & Nouman Ijaz & Tehseen Abbas & Rahmat Ellahi, 2018. "The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body," Sustainability, MDPI, vol. 10(8), pages 1-17, July.
    16. Hayat, T. & Yaqoob, Rabiya & Qayyum, Sumaira & Alsaedi, A., 2020. "Entropy generation optimization in nanofluid flow by variable thicked sheet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    17. Muhammad, Taseer & Rafique, Kiran & Asma, Mir & Alghamdi, Metib, 2020. "Darcy–Forchheimer flow over an exponentially stretching curved surface with Cattaneo–Christov double diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    18. Zhang, Kaiyu & Wang, Yibai & Tang, Haibin & Li, Yong & Wang, Baojun & York, Thomas M. & Yang, Lijun, 2020. "Two-dimensional analytical investigation into energy conversion and efficiency maximization of magnetohydrodynamic swirling flow actuators," Energy, Elsevier, vol. 209(C).
    19. Hayat, Tasawar & Kanwal, Mehreen & Qayyum, Sumaira & Alsaedi, Ahmed, 2020. "Entropy generation optimization of MHD Jeffrey nanofluid past a stretchable sheet with activation energy and non-linear thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    20. Ali, Mehboob & Khan, Waqar Azeem & Sultan, Faisal & Shahzad, Muhammad, 2020. "Numerical investigation on thermally radiative time-dependent Sisko nanofluid flow for curved surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1685-:d:1113228. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.