年間 18 号発行
ISSN 印刷: 1064-2285
ISSN オンライン: 2162-6561
Indexed in
EFFECTS OF LOCAL THERMAL NONEQUILIBRIUM ON THE ONSET OF CONVECTION IN A MAGNETIC NANOFLUID LAYER
要約
In this article, a numerical study of convective transport in a magnetic nanofluid (MNF) subject to an applied magnetic field has been carried out using the local thermal nonequilibrium (LTNE) model. A two-phase model consisting of the effect of Brownian motion, thermophoresis, and magnetophoresis is considered. The temperature within the fluid phase is assumed to be different from the temperature within the particle solid phase. The Chebyshev pseudospectral method is used to solve the eigenvalue problem for small-amplitude perturbation. The present study focuses on two different environments: (i) gravity environment and (ii) microgravity environment. In both environments, the results are derived for water-based and ester-based magnetic nanofluids (MNFs). The effect of various important parameters such as thermal diffusivity ratio ε, interphase heat transfer NH, thermal capacity ratio γ, the modified diffusivity ratio NA, concentration Rayleigh number Rn, Lewis number Le, the Langevin parameter αL, and the nonlinearity of magnetization M3 is observed at the onset of MNF convection for free-free boundaries. The value of the critical thermal Rayleigh number Rac and the critical magnetic Rayleigh number Ngc decreases as the values of NH, γ, NA, Rn, Le, and M3 increase, whereas, the values of both Rac and Ngc increase as the value of ε increases. The system is found to be more stable for ester-based MNFs as compared to water-based MNFs in both gravity and microgravity environment.
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