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Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect

Author

Listed:
  • Emad H. Aly

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt
    These authors contributed equally to this work.)

  • Alin V. Roşca

    (Department of Statistics-Forecasts Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Natalia C. Roşca

    (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Ioan Pop

    (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

Abstract

The flow of the hybrid nanofluid (copper–titanium dioxide/water) over a nonlinearly stretching surface was studied with suction and radiation effect. The governing partial differential equations were then converted into non-linear ordinary differential equations by using proper similarity transformations. Therefore, these equations were solved by applying a numerical technique, namely Chebyshev pseudo spectral differentiation matrix. The results of the flow field, temperature distribution, reduced skin friction coefficient and reduced Nusselt number were deduced. It was found that the rising of the mass flux parameter slows down the velocity and, hence, decreases the temperature. Further, on enlarging the stretching parameter, the velocity and temperature increases and decreases, respectively. In addition, it was mentioned that the radiation parameter can effectively control the thermal boundary layer. Finally, the temperature decreases when the values of the temperature parameter increases.

Suggested Citation

  • Emad H. Aly & Alin V. Roşca & Natalia C. Roşca & Ioan Pop, 2021. "Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect," Mathematics, MDPI, vol. 9(18), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2220-:d:632653
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    References listed on IDEAS

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    1. Sarkar, Jahar & Ghosh, Pradyumna & Adil, Arjumand, 2015. "A review on hybrid nanofluids: Recent research, development and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 164-177.
    2. Sundar, L. Syam & Sharma, K.V. & Singh, Manoj K. & Sousa, A.C.M., 2017. "Hybrid nanofluids preparation, thermal properties, heat transfer and friction factor – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P1), pages 185-198.
    3. Aly, E.H. & Vajravelu, K., 2014. "Exact and numerical solutions of MHD nano boundary-layer flows over stretching surfaces in a porous medium," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 191-204.
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    Cited by:

    1. 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.

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