A technique enables control over flow in a wellbore with a flow control system. In some cases, the flow control system may comprise a flapper device, an isolation assembly, and an actuation assembly. The flapper device may be configured to rotate within an approximate angular range from 15° to 75° when shifting between an open and closed state. In some situations, the engaging member may contain a profiled end configured to increase the moment applied to the flapper device during opening and control the rate of closure of the flapper device. The limitation to the angular range of the flapper device may reduce the loading forces that would otherwise act against the flow control system upon closure of the flapper device.