A compact back-flow stopper using an elastic flexure mechanism for a cooling fan is shown and described. The backflow stopper assembly comprises a frame configured to structurally support a fin array when coupled to a fan. The fin array comprises a plurality of flexural deformation elements and associated fin elements arrayed in a radial arrangement to establish a pathway for airflow, each of the flexural deformation elements configured to move an attached fin element responsive to airflow impacting the attached fin element. Flex limiter elements are coupled to the frame and configured to limit flexure of the fin elements beyond a predetermined flexure in relation to the frame to stop backflow of air through the fin array. A fan assembly with a backflow stopper is shown and described. Also, a data storage assembly using fan assemblies with backflow stoppers is also shown and described.