Abstract
Convective instability in a thin layer of low permeability of a magnetic nanofluid is examined. The model used incorporates the effect of Brownian diffusion, thermophoresis, and magnetophoresis. The eigenvalue problem is solved by employing the Chebyshev pseudospectral method and the results are discussed for various combinations of boundary conditions on impermeable, free, conducting, and with constant heat flux surfaces for water- and ester-based magnetic nanofluids. The effect of magnetic field, permeability, and modified particle density increment has been analyzed at the onset of convection. In the microgravity environment, the magnetic nanofluid is more resilient to convection and, in general, for all boundary conditions requires a higher temperature gradient for the threshold of convection.
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