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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
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    References listed on IDEAS

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    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.
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    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.

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