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Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet

Author

Listed:
  • Nadhirah Abdul Halim

    (Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam 40450, Selangor, Malaysia
    These authors contributed equally to this work.)

  • Noor Fadiya Mohd Noor

    (Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia
    These authors contributed equally to this work.)

Abstract

A stagnation-point flow of a Powell–Eyring nanofluid along a vertical stretching surface is examined. The buoyancy force effect due to mixed convection is taken into consideration along with the Brownian motion and thermophoresis effect. The flow is investigated under active and passive controls of nanoparticles at the surface. The associating partial differential equations are converted into a set of nonlinear, ordinary differential equations using similarity conversions. Then, the equations are reduced to first-order differential equations before further being solved using the shooting method and b v p 4 c function in MATLAB. All results are presented in graphical and tabular forms. The buoyancy parameter causes the skin friction coefficient to increase in opposing flows but to decrease in assisting flows. In the absence of buoyancy force, there is no difference in the magnitude of the skin friction coefficient between active and passive controls of the nanoparticles. Stagnation has a bigger influence under passive control in enhancing the heat transfer rate as compared to when the fluid is under active control. Assisting flows have better heat and mass transfer rates with a lower magnitude of skin friction coefficient as compared to opposing flows. In this case, the nanofluid parameters, the Brownian motion, and thermophoresis altogether reduce the overall heat transfer rates of the non-Newtonian nanofluid.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:364-:d:497833
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    References listed on IDEAS

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    1. Wubshet Ibrahim & Gosa Gadisa, 2019. "Finite Element Method Solution of Boundary Layer Flow of Powell-Eyring Nanofluid over a Nonlinear Stretching Surface," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-16, July.
    2. 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.
    3. Anuar Jamaludin & Roslinda Nazar & Ioan Pop, 2019. "Mixed Convection Stagnation-Point Flow of a Nanofluid Past a Permeable Stretching/Shrinking Sheet in the Presence of Thermal Radiation and Heat Source/Sink," Energies, MDPI, vol. 12(5), pages 1-20, February.
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