Applying a continuous flow to rinse radiolytic species from the irradiated volume is a widely proposed strategy to reduce beam-related artefacts in Liquid-Phase Transmission Electron Microscopy (LP-TEM). However, this has not been verified experimentally nor theoretically to date. Here we explore an extended numerical model implementing radiolytic chemistry, diffusion and liquid convection to study the peculiarities of beam-induced chemistry in the presence of a flowing liquid within a heterogenously irradiated nanoconfined channel corresponding to a LP-TEM flow cell. Intruigingly, the concentration of some principal chemical species, predominantly hydrogen radicals and hydrated electrons, is found to grow significantly rather than to decrease in respect to zero-flow when moderate flow conditions are applied. This counterintuitive behaviour is discussed in terms of reactants’ lifetimes, spatial separation of the reaction network and self-scavenging by secondary radiolitic species. In the presence of a flow the consumption of highly reactive species is suppressed due to removal of the self-scavengers, and as a result their concentration in irradiated area increases. A proof of concept for the scavengers supply by the flow is demonstrated. Unravelling the effect of flow on radiolysis spawns direct implications for LP-TEM flow experiments providing yet one more control parameter for adjusting the chemistry in the irradiated/imaging area, in particular for mitigation strategies by continuous supply of scavengers.