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Mixed Convection Stagnation-Point Flow of a Nanofluid Past a Permeable Stretching/Shrinking Sheet in the Presence of Thermal Radiation and Heat Source/Sink

Author

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  • Anuar Jamaludin

    (Department of Mathematics, Universiti Pertahanan Nasional Malaysia, 57000 Kuala Lumpur, Malaysia
    School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia)

  • Roslinda Nazar

    (School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia)

  • Ioan Pop

    (Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania)

Abstract

In this study we numerically examine the mixed convection stagnation-point flow of a nanofluid over a vertical stretching/shrinking sheet in the presence of suction, thermal radiation and a heat source/sink. Three distinct types of nanoparticles, copper (Cu), alumina (Al 2 O 3 ) and titania (TiO 2 ), were investigated with water as the base fluid. The governing partial differential equations were converted into ordinary differential equations with the aid of similarity transformations and solved numerically by utilizing the bvp4c programme in MATLAB. Dual (upper and lower branch) solutions were determined within a particular range of the mixed convection parameters in both the opposing and assisting flow regions and a stability analysis was carried out to identify which solutions were stable. Accordingly, solutions were gained for the reduced skin friction coefficients, the reduced local Nusselt number, along with the velocity and temperature profiles for several values of the parameters, which consists of the mixed convection parameter, the solid volume fraction of nanoparticles, the thermal radiation parameter, the heat source/sink parameter, the suction parameter and the stretching/shrinking parameter. Furthermore, the solutions were presented in graphs and discussed in detail.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:5:p:788-:d:209399
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    References listed on IDEAS

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    1. Ebrahimi, Amin & Rikhtegar, Farhad & Sabaghan, Amin & Roohi, Ehsan, 2016. "Heat transfer and entropy generation in a microchannel with longitudinal vortex generators using nanofluids," Energy, Elsevier, vol. 101(C), pages 190-201.
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    Cited by:

    1. Yasir Nawaz & Muhammad Shoaib Arif & Wasfi Shatanawi & Amna Nazeer, 2021. "An Explicit Fourth-Order Compact Numerical Scheme for Heat Transfer of Boundary Layer Flow," Energies, MDPI, vol. 14(12), pages 1-17, June.
    2. Naganthran, Kohilavani & Basir, Md Faisal Md & Kasihmuddin, Mohd Shareduwan Mohd & Ahmed, Sameh E. & Olumide, Falodun Bidemi & Nazar, Roslinda, 2020. "Exploration of dilatant nanofluid effects conveying microorganism utilizing scaling group analysis: FDM Blottner," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    3. Shahirah Abu Bakar & Norihan Md Arifin & Najiyah Safwa Khashi’ie & Norfifah Bachok, 2021. "Hybrid Nanofluid Flow over a Permeable Shrinking Sheet Embedded in a Porous Medium with Radiation and Slip Impacts," Mathematics, MDPI, vol. 9(8), pages 1-14, April.
    4. 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.
    5. Nor Azizah Yacob & Nor Fadhilah Dzulkifli & Siti Nur Alwani Salleh & Anuar Ishak & Ioan Pop, 2021. "Rotating Flow in a Nanofluid with CNT Nanoparticles over a Stretching/Shrinking Surface," Mathematics, MDPI, vol. 10(1), pages 1-20, December.
    6. Syafiq Zainodin & Anuar Jamaludin & Roslinda Nazar & Ioan Pop, 2022. "MHD Mixed Convection of Hybrid Ferrofluid Flow over an Exponentially Stretching/Shrinking Surface with Heat Source/Sink and Velocity Slip," Mathematics, MDPI, vol. 10(23), pages 1-20, November.
    7. Mikhail A. Sheremet, 2021. "Numerical Simulation of Convective-Radiative Heat Transfer," Energies, MDPI, vol. 14(17), pages 1-3, August.

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