ABSTRACT
If a pressure wave causes hydrogen to be alternately dissolved and liberated from a melt during a wave’s compression and rarefaction phases, then the resulting gas content in the melt may remain unaffected. This inference was made in particular by Chernyshov (1953), who theoretically considered the solubility of gases in melts subjected to low-frequency vibrations. He considered the vibration as an inertial mold-metal interaction described by additions to pressure waves applied to the liquid metal through the mold walls and bottom.Under these conditions, the equation for the pressure takes the form
where p is the density of the metal, g is the acceleration due to gravity, h is the height of the metal, P0 is the atmospheric pressure, and j is the acceleration due to vibration,
where A is the amplitude and co = 2ref is the angular frequency.Substituting (2 .1 ) and (2 .2 ) into the Sieverts equation for solubility, we obtain the vibration-dependent relation for solubility
Integrating this equation, one may obtain a relation for the solubility averaged over the period, which results in estimates close to the limiting solubility at stationary conditions.These calculations lead us to the conclusion that vibrations and elastic pressure fields at other frequencies are impracticable for refining melts from gaseous inclusions. For this reason, it was proposed that the method could be used for solidified metals, the solubility of which varies with temperature so that not all the gas liberated during the rarefaction half-period is dissolved during the compression half-period.
