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Convective instability of nanofluids in vertical circular porous microchannels

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  • Avramenko, A.A.
  • Shevchuk, I.V.
  • Tyrinov, A.I.

Abstract

The article presents an analysis of the convective instability of a nanofluid in a vertical porous cylindrical microchannel with slip boundary conditions on the wall. The microchannel is surrounded by a continuous medium. For the calculation, the Galerkin method with a different order of approximation was used. The influence of the Darcy, Knudsen and Prandtl numbers, the ratio of the thermal conductivities of the fluid and the wall, the intensity of sliding along the wall, as well as the properties of nanoparticles on the Rayleigh number at which instability occurs, is analyzed. It was shown that an increase in the porosity of the medium promotes stabilization. It has been determined that the conditions for the onset of convection are decisively influenced by the thermal conductivity of nanoparticles (Lewis number), whereas the slippage effects (Knudsen number) are of lesser importance.

Suggested Citation

  • Avramenko, A.A. & Shevchuk, I.V. & Tyrinov, A.I., 2021. "Convective instability of nanofluids in vertical circular porous microchannels," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    • Handle: RePEc:eee:chsofr:v:149:y:2021:i:c:s0960077921004471
    DOI: 10.1016/j.chaos.2021.111093
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    Cited by:

    1. Puneeth, V. & Manjunatha, S. & Madhukesh, J.K. & Ramesh, G.K., 2021. "Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Avramenko, A.A. & Kovetska, Yu.Yu. & Shevchuk, I.V., 2023. "Lorenz approach for analysis of bioconvection instability of gyrotactic motile microorganisms," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    3. Yang, Shanshan & Wang, Mengying & Zou, Mingqing & Sheng, Qiong & Cui, Ruike & Chen, Shuaiyin, 2023. "Gas transport law in inorganic nanopores considering the influence of cross section shape and roughness," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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