IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v585y2022ics0378437121006713.html
   My bibliography  Save this article

Mixed convection stagnation-point flow of Cross fluid over a shrinking sheet with suction and thermal radiation

Author

Listed:
  • Jamaludin, Anuar
  • Nazar, Roslinda
  • Pop, Ioan

Abstract

This work focuses on numerically investigating the mixed convection stagnation-point flow and heat transfer in an incompressible Cross fluid over a permeable shrinking sheet, with suction and thermal radiation effects. The governing equations defining the current problem have been first transformed into the ordinary differential equations through similarity transformations. The resulting equations obtained are then solved numerically using the bvp4c programmed in MATLAB, revealing dual (upper and lower branch) solutions for both assisting and opposing flow regions. Stability analysis has been employed afterwards to determine a stable solution between them. Following from there, the upper branch solution has been found to be stable, while the lower branch solution is unstable. In addition, the study has established that the Weissenberg number, the Prandtl number and the suction parameter are strongly influenced to uplift the range of existence for dual solutions.

Suggested Citation

  • Jamaludin, Anuar & Nazar, Roslinda & Pop, Ioan, 2022. "Mixed convection stagnation-point flow of Cross fluid over a shrinking sheet with suction and thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    • Handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121006713
    DOI: 10.1016/j.physa.2021.126398
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121006713
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126398?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ishak, Anuar & Nazar, Roslinda & Bachok, Norfifah & Pop, Ioan, 2010. "MHD mixed convection flow near the stagnation-point on a vertical permeable surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 40-46.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nurul Amira Zainal & Roslinda Nazar & Kohilavani Naganthran & Ioan Pop, 2022. "Unsteady Separated Stagnation-Point Flow Past a Moving Plate with Suction Effect in Hybrid Nanofluid," Mathematics, MDPI, vol. 10(11), pages 1-18, June.
    2. Safyan Mukhtar & Taza Gul, 2023. "Solar Radiation and Thermal Convection of Hybrid Nanofluids for the Optimization of Solar Collector," Mathematics, MDPI, vol. 11(5), pages 1-13, February.

    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. Nadhirah Abdul Halim & Noor Fadiya Mohd Noor, 2021. "Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet," Mathematics, MDPI, vol. 9(4), pages 1-17, February.
    2. Nur Syazana Anuar & Norfifah Bachok & Ioan Pop, 2021. "Hybrid Carbon Nanotube Flow near the Stagnation Region over a Permeable Vertical Plate with Heat Generation/Absorption," Mathematics, MDPI, vol. 9(22), pages 1-15, November.
    3. Najiyah Safwa Khashi’ie & Norihan Md Arifin & Ioan Pop, 2020. "Mixed Convective Stagnation Point Flow towards a Vertical Riga Plate in Hybrid Cu-Al 2 O 3 /Water Nanofluid," Mathematics, MDPI, vol. 8(6), pages 1-21, June.
    4. Nur Syahirah Wahid & Norihan Md Arifin & Najiyah Safwa Khashi’ie & Ioan Pop & Norfifah Bachok & Mohd Ezad Hafidz Hafidzuddin, 2022. "Hybrid Nanofluid Radiative Mixed Convection Stagnation Point Flow Past a Vertical Flat Plate with Dufour and Soret Effects," Mathematics, MDPI, vol. 10(16), pages 1-24, August.

    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:eee:phsmap:v:585:y:2022:i:c:s0378437121006713. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.