Topological flow transformations in a universal vortex bioreactor

•The development of aerial vortex bioreactors led to interest in two-fluid or multiphase flows.•The study is related to hydrodynamics and mass transfer in vortex flows for chemical and biotechnology application.•The vortex bioreactor provides the gentle mixing of ingredients required for the efficient growth of tissue cultures.•The results are of great interest for identify the kinematic parameters of opaque media of the cultured biomaterial.