NUMERICAL INVESTIGATION OF THE DOWNWARD MERCURY FLOW INSTABILITY IN A NONUNIFORMLY HEATED ROUND TUBE UNDER A TRANSVERSE MAGNETIC FIELD

A numerical study of the downward mercury fl ow in a nonuniformly heated round tube under the infl uence of a transverse magnetic fi eld was carried out using the LES method. The problem was solved in a wall-conjugate formulation with modeling a contamination layer (contact electrical resistance) on the inner surface of the tube wall. The calculations were carried out at the following values of the Reynolds, Prandtl, Grashof, and Hartmann numbers: Re = 10⁴ , Pr = 0.024, Gr = 6·10⁷ , 12·10⁷ , Ha = 0–1000. It is shown that the electrical conductivity of the contamination layer has a signifi cant eff ect on the stability of the fl ow and the occurrence of abnormally high lowfrequency pulsations in the temperature of the liquid and tube wall.
A numerical study of the downward mercury fl ow in a nonuniformly heated round tube under the infl uence of a transverse magnetic fi eld was carried out using the LES method. The problem was solved in a wall-conjugate formulation with modeling a contamination layer (contact electrical resistance) on the inner surface of the tube wall. The calculations were carried out at the following values of the Reynolds, Prandtl, Grashof, and Hartmann numbers: Re = 10⁴ , Pr = 0.024, Gr = 6·10⁷ , 12·10⁷ , Ha = 0–1000. It is shown that the electrical conductivity of the contamination layer has a signifi cant eff ect on the stability of the fl ow and the occurrence of abnormally high lowfrequency pulsations in the temperature of the liquid and tube wall.
Author:  M. V. Makarov, G. G. Yankov, V. I. Artemov
Keywords:  LES, conjugate formulation, round tube, mercury, downward fl ow, nonuniform heating around the perimeter, transverse magnetic fi eld, abnormally high temperature pulsations
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