IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i14p2493-d865242.html
   My bibliography  Save this article

Magnetorheological Fluid of High-Speed Unsteady Flow in a Narrow-Long Gap: An Unsteady Numerical Model and Analysis

Author

Listed:
  • Pengfei Zheng

    (School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China)

  • Baolin Hou

    (School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China)

  • Mingsong Zou

    (China Ship Scientific Research Center, Wuxi 214082, China)

Abstract

To investigate the unsteady flow field generated by magnetorheological (MR) fluid of a high-speed unsteady laminar boundary layer flow in a narrow-long gap of the magnetorheological absorber (MRA), a new unsteady numerical model is proposed. The gap has magnetic-field-activated and inactivated regions, with MR fluid flowing as bi-viscous (non-Newtonian) and Newtonian fluid. The unsteady flow field is described by the unsteady incompressible governing partial differential equation (PDE) and initial-boundary conditions with the moving boundary. The space-time solution domain is discretized using the finite difference method, and the governing PDE is transformed into implicit partial difference equations. The volume flow rate function is constructed to solve numerical solutions of pressure gradient and fluid velocity based on mass conservation, the continuity equation, and the bisection method. The accuracy of unsteady numerical model is validated by the experiment data. The results show that the fluid acceleration profiles along the gap’s height are non-uniform distribution. Further, the volume flow rate and excitation current has a significant impact on the dynamic distribution of fluid velocity profiles, and the moving boundary makes the flow field asymmetric about the central plane. Furthermore, as the transition stress increases, the thickness of the pre-yield region in the activated region increases. There is also a transition flow phenomenon in the activated region as the volume flow rate increases. Finally, the unsteady numerical model has good stability and convergence.

Suggested Citation

  • Pengfei Zheng & Baolin Hou & Mingsong Zou, 2022. "Magnetorheological Fluid of High-Speed Unsteady Flow in a Narrow-Long Gap: An Unsteady Numerical Model and Analysis," Mathematics, MDPI, vol. 10(14), pages 1-25, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2493-:d:865242
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/14/2493/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/14/2493/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Oscar F. Murillo-García & Francisco Jurado, 2021. "Adaptive Boundary Control for a Certain Class of Reaction–Advection–Diffusion System," Mathematics, MDPI, vol. 9(18), pages 1-17, September.
    2. Aissa Abderrahmane & Naef A. A. Qasem & Obai Younis & Riadh Marzouki & Abed Mourad & Nehad Ali Shah & Jae Dong Chung, 2022. "MHD Hybrid Nanofluid Mixed Convection Heat Transfer and Entropy Generation in a 3-D Triangular Porous Cavity with Zigzag Wall and Rotating Cylinder," Mathematics, MDPI, vol. 10(5), pages 1-18, February.
    3. Muhammad Kamran Alam & Khadija Bibi & Aamir Khan & Samad Noeiaghdam, 2021. "Dufour and Soret Effect on Viscous Fluid Flow between Squeezing Plates under the Influence of Variable Magnetic Field," Mathematics, MDPI, vol. 9(19), pages 1-28, September.
    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. Firas A. Alwawi & Feras M. Al Faqih & Mohammed Z. Swalmeh & Mohd Asrul Hery Ibrahim, 2022. "Combined Convective Energy Transmission Performance of Williamson Hybrid Nanofluid over a Cylindrical Shape with Magnetic and Radiation Impressions," Mathematics, MDPI, vol. 10(17), pages 1-19, September.
    2. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung, 2023. "Role of Nanofluid and Hybrid Nanofluid for Enhancing Thermal Conductivity towards Exponentially Stretching Curve with Modified Fourier Law Inspired by Melting Heat Effect," Mathematics, MDPI, vol. 11(5), pages 1-21, February.
    3. 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.
    4. Francisco Ureña & Ángel García & Antonio M. Vargas, 2022. "Preface to “Applications of Partial Differential Equations in Engineering”," Mathematics, MDPI, vol. 11(1), pages 1-4, December.
    5. Sivasankaran Sivanandam & Fouad O. M. Mallawi, 2022. "Effects of Variable Properties on the Convective Flow of Water near Its Density Extremum in an Inclined Enclosure with Entropy Generation," Mathematics, MDPI, vol. 10(19), pages 1-20, September.
    6. Moh Yaseen & Sawan Kumar Rawat & Nehad Ali Shah & Manoj Kumar & Sayed M. Eldin, 2023. "Ternary Hybrid Nanofluid Flow Containing Gyrotactic Microorganisms over Three Different Geometries with Cattaneo–Christov Model," Mathematics, MDPI, vol. 11(5), pages 1-25, March.
    7. Magdalena Piasecka & Beata Maciejewska & Artur Piasecki, 2023. "Heat Transfer Calculations during Flow in Mini-Channels with Estimation of Temperature Uncertainty Measurements," Energies, MDPI, vol. 16(3), pages 1-19, January.
    8. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Attaullah, 2023. "Role of Chemically Magnetized Nanofluid Flow for Energy Transition over a Porous Stretching Pipe with Heat Generation/Absorption and Its Stability," Mathematics, MDPI, vol. 11(8), pages 1-17, April.
    9. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Muhammad Shoaib Khan, 2023. "Computational and Stability Analysis of MHD Time-Dependent Thermal Reaction Flow Impinging on a Vertical Porous Plate Enclosing Magnetic Prandtl Number and Thermal Radiation Effect," Mathematics, MDPI, vol. 11(6), pages 1-20, March.
    10. Muhammad Kamran Alam & Khadija Bibi & Aamir Khan & Unai Fernandez-Gamiz & Samad Noeiaghdam, 2022. "The Effect of Variable Magnetic Field on Viscous Fluid between 3-D Rotatory Vertical Squeezing Plates: A Computational Investigation," Energies, MDPI, vol. 15(7), pages 1-21, March.
    11. Muhammad Sohail Khan & Sun Mei & Shabnam & Unai Fernandez-Gamiz & Samad Noeiaghdam & Aamir Khan & Said Anwar Shah, 2022. "Electroviscous Effect of Water-Base Nanofluid Flow between Two Parallel Disks with Suction/Injection Effect," Mathematics, MDPI, vol. 10(6), pages 1-15, March.
    12. Farhan Lafta Rashid & Asseel M. Rasheed Al-Gaheeshi & Mohammed Alhwayzee & Bagh Ali & Nehad Ali Shah & Jae Dong Chung, 2023. "Mixed Convection in a Horizontal Channel–Cavity Arrangement with Different Heat Source Locations," Mathematics, MDPI, vol. 11(6), pages 1-26, March.

    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:10:y:2022:i:14:p:2493-:d:865242. 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.