Electrolyte solution circulation rates in a flow battery can impact operating performance. Although adjusting the circulation rates can allow improved performance to be realized, it can be difficult to levelize circulation rates over multiple electrochemical cells of an electrochemical cell stack due to a non-uniform pressure drop that occurs at an outlet of each electrochemical cell. Accordingly, flow batteries capable of realizing improved operating performance can include: an electrochemical cell stack containing a plurality of electrochemical cells in electrical communication with one another; an inlet manifold containing an inflow channel fluidically connected to an inflow side of each of the electrochemical cells; an outlet manifold containing an outflow channel fluidically connected to an outflow side of each of the electrochemical cells; and an insert disposed in the outflow channel. The insert has a variable width along a length of the outflow channel.