# zbMATH — the first resource for mathematics

On the similarity between gravity and magneto-gravity convection within a non-electroconducting fluid in a differentially heated rectangular cavity. (English) Zbl 1189.76490
Summary: The magneto-gravity convection induced by a vertical magnetic field gradient applied to a non-electroconducting paramagnetic liquid in a differentially heated rectangular cavity is investigated numerically and experimentally. Due to the magnetic susceptibility temperature dependence of the fluid, the magnetic body force drives a thermoconvective motion in the cavity. Depending on the sign of the magnetic gradient, the vertical magnetic force in the liquid can be parallel or antiparallel to gravity. Hence, buoyancy convection in the cavity results of the combination of the vertical magnetic force and of gravity.
Expressed in terms of $$Nu$$ versus $$Ra$$, the experimental and numerical results are compared to the correlation obtained by Catton without magnetic field. Agreement between the two curves clearly points out the similarity between gravity induced convection and magneto-gravity convection.

##### MSC:
 76R05 Forced convection 76W05 Magnetohydrodynamics and electrohydrodynamics 76-05 Experimental work for problems pertaining to fluid mechanics 80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: