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Convective heat transfer in a rotating nanofluid cavity with sinusoidal temperature boundary condition

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Abstract

Convective heat transfer of alumina–water nanoliquid within a rotating square cavity with left border sinusoidal temperature is studied numerically. The considered region is a rotating square enclosure having constant temperature boundary condition at \( \bar{x} = L \), while temperature of the border \( \bar{x} = 0 \) is changed as a sinusoidal function of coordinate, other walls are adiabatic. Dimensionless control equations formulated using stream function, vorticity and temperature, have been solved by the finite difference method of the second-order accuracy. The effects of Rayleigh number, Taylor number and nanoparticles volume fraction on fluid flow and heat transfer have been analyzed. It has been found that for low values of Ra a growth of nanoparticles concentration leads to the thermal transmission enhancement, while high values of Ta characterize also the intensification of thermal transmission with the nanoparticles concentration. At the same time, convective nanoliquid flow rate decreases with growth of Ta.

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Acknowledgements

The work of M.A. Sheremet was conducted as a government task of the Ministry of Education and Science of the Russian Federation (Project Number 13.6542.2017/6.7). The work of I. Pop has been supported from the grant PN-III-P4-ID-PCE-2016-0036, UEFISCDI, Romania.

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Authors and Affiliations

  1. Laboratory on Convective Heat and Mass Transfer, Tomsk State University, Tomsk, Russia, 634050

    S. A. Mikhailenko & M. A. Sheremet

  2. Department of Mathematics, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    I. Pop

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Mikhailenko, S.A., Sheremet, M.A. & Pop, I. Convective heat transfer in a rotating nanofluid cavity with sinusoidal temperature boundary condition. J Therm Anal Calorim 137, 799–809 (2019). https://doi.org/10.1007/s10973-018-7984-2

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