Mixing of reactants, catalysts, etc, in a chemical reactor may be achieved using jets which offer the advantage of having no moving parts inside the reactor. While there have been many experimental studies and thumb rules for the design of jets, the derailed hydrodynamics of the mixing process is not properly understood. In the present paper, computational fluid dynamics (CFD) techniques are used to simulate jet mixing in a cylindrical vessel. The flow circulation patterns within the reactor and their effect on mixing of a soluble salt are studied. By simulating various configurations of jets, it is shown that the key factor in reducing mixing time is minimizing or eliminating dead zones in the reactor. This can be achieved, for example, by having a conical bottom.