Rotating detonation engines (RDEs) represent an alternative to the extensively studied pulse detonation engines (PDEs) for obtaining propulsion from the high efficiency detonation cycle. The current work focuses on the effect of adding an exhaust plenum to the RDE simulation. The addition of an exhaust plenum causes only minimal changes in the RDE flow field, most significantly at the exhaust plane. The specific impulse varied by less than 1% between modeling with and without an exhaust plenum, showing that using a mixed boundary condition for the exhaust instead of an exhaust plenum is valid. The exhaust plume for three different RDEs is also described. The highest plume temperatures are found after the circulation zone behind the centerbody, although the temperature profiles vary greatly depending on the RDE size. Finally, the effect of a simple conical nozzle extending from the centerbody on the exhaust is investigated. This nozzle reduces the size of the recirculation zone and reduces the temperature in the plume, however, it has very little effect on the flow field inside the RDE or at the exhaust plane. For the hydrogen/air RDE with 10 atm injection pressure and 1 atm back pressure, the specific impulse varied from 4930 s to 4980 s for all cases examined in this paper. Nomenclature a = ratio of micro-injector throat area to injection face area, non-dimensional = specific heat at constant pressure for species k, ergs/(gm K) = specific heat at constant volume for species k, ergs/(gm K) = total energy, ergs/cm 3 = pressure, dynes/cm 2 = mixture ideal gas constant, ergs/(gm K) = ideal gas constant for species k, ergs/(gm K) = temperature, K = induction time, s = velocity of gas, cm/s = reaction rate for reactant, gm/cm 3 = heat release per gram of reactant, ergs/gm = mixture specific heat ratio = specific heat ratio for species k = density, gm/cm 3 = density for species k, gm/cm 3 = induction parameter, gm/cm 3