An apparatus for froth flotation including a flotation vessel including a side wall and a bottom wall that includes a fluid drain, and a mixing eductor inside the vessel disposed to impart net rotational force to contents of the vessel about an axis; and a method of separating a desired constituent (e.g., coal) from a mixture of particulate matter, including the steps of conditioning a liquid mixture of particulate matter including a desired constituent with a frothing agent to create a pulp, and injecting the pulp into a vessel to impart net rotational movement of pulp in the vessel, are disclosed.