Vibration-assisted apparatus for mixing immiscible liquids and for mixing powders with liquids or with other powders

A mixing apparatus for mixing a first substance with a second substance, the mixing apparatus comprising:

• a mixing container having an interior which is able to contain a mixable combination of the first substance and the second substance, the interior being surrounded by one or more walls of said container;
• a convection mechanism for applying convective mixing forces to the mixable combination;
• a vibration application system comprising an exterior vibrational energy applicator that is able to propagate acoustic vibrations through a wall section of a corresponding one of the container walls without directly exposing the exterior vibrational energy applicator to the container interior, the vibration application system being configured to apply vibrational energy to the mixable combination while the convective mixing forces are applied to the mixable combination;
• and
• an ultrasonic generator which is able to apply ultrasonic energy to the mixable combination while the convective mixing force and acoustic vibrations are simultaneously applied to the mixable combination.