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Natural Convection of Non-Newtonian Power-Law Fluid in a Square Cavity with a Heat-Generating Element

Author

Listed:
  • Darya S. Loenko

    (Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050 Tomsk, Russia)

  • Aroon Shenoy

    (S.A.I.C.O., 1111 Arlington Blvd, Arlington, VA 22209, USA)

  • Mikhail A. Sheremet

    (Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050 Tomsk, Russia)

Abstract

Development of modern technology in microelectronics and power engineering necessitates the creation of effective cooling systems. This is made possible by the use of the special fins technology within the cavity or special heat transfer liquids in order to intensify the heat removal from the heat-generating elements. The present work is devoted to the mathematical modeling of thermogravitational convection of a non-Newtonian fluid in a closed square cavity with a local source of internal volumetric heat generation. The behavior of the fluid is described by the Ostwald-de Waele power law model. The defining Navier–Stokes equations written using the dimensionless stream function, vorticity and temperature are solved using the finite difference method. The effects of the Rayleigh number, power-law index, and thermal conductivity ratio on heat transfer and the flow structure are studied. The obtained results are presented in the form of isolines of the stream function and temperature, as well as the dependences of the average Nusselt number and average temperature on the governing parameters.

Suggested Citation

  • Darya S. Loenko & Aroon Shenoy & Mikhail A. Sheremet, 2019. "Natural Convection of Non-Newtonian Power-Law Fluid in a Square Cavity with a Heat-Generating Element," Energies, MDPI, vol. 12(11), pages 1-12, June.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:11:p:2149-:d:237327
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    References listed on IDEAS

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    1. Nafchi, Peyman Mirzakhani & Karimipour, Arash & Afrand, Masoud, 2019. "The evaluation on a new non-Newtonian hybrid mixture composed of TiO2/ZnO/EG to present a statistical approach of power law for its rheological and thermal properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 1-18.
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    Cited by:

    1. Mikhail A. Sheremet, 2021. "Numerical Simulation of Convective-Radiative Heat Transfer," Energies, MDPI, vol. 14(17), pages 1-3, August.

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