×

zbMATH — the first resource for mathematics

A magnetohydrodynamic chaotic stirrer. (English) Zbl 1064.76120
From the summary: A magnetohydrodynamic (MHD) stirrer that exhibits chaotic advection is investigated experimentally and theoretically. The stirrer consists of a circular cavity with an electrode (C) deposited around its periphery. Two additional electrodes (A) and (B) are deposited eccentrically inside the cavity on the bottom. The cavity is positioned in a uniform magnetic field that is parallel to the cylinder’s axis, and it is filled with a weak electrolyte solution. Fluid motion is induced in the cavity by applying a potential difference across a pair of electrodes. A closed-form, analytical solution is derived for the MHD creeping flow field in the gap between the two eccentric cylinders. A singular solution is obtained for the special case when the size of the inner electrode shrinks to a point.

MSC:
76W05 Magnetohydrodynamics and electrohydrodynamics
76-05 Experimental work for problems pertaining to fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI