Using the semi-analytical approach based on the Maclaurin series expansion, axisymmetric Bénard-Marangoni convection for a water—alumina nanofluid system in a very shallow vertical, right-circular cylinder is studied for a realistic boundary condition. It is found that for low volume fractions of nanoparticles, Bénard-Marangoni convection occurs earlier when compared to the case of no nanoparticles. The only thermophysical property that is affected by the shape factor of the nanoparticles is the thermal conductivity and a non-spherical shape is found to lead to enhanced thermal conductivity in comparison with spherical nanoparticles. This in turn means advanced onset due to the presence of non-spherical nanoparticles. Advanced onset is also seen when there is an enhancement in the volume fraction of the nanoparticles but only until such time agglomeration is seen. Adiabatic boundary holds energy within the system without passing to its surrounding and thus the advanced onset of Bénard-Marangoni convection for this boundary compared to that of the isothermal boundary. The problem has possible applications in a micro-gravity environment or in a terrestrial laboratory environment simulating micro-gravity.
Siddheshwar et al. (Mon,) studied this question.
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