Throughout the utilization, maintenance, and operation of recoil mechanisms, particularly concerning recoil and counter-recoil brakes, the infiltration of air into the fluid is a persistent occurrence. This paper presents a mathematical model that was built based on theories of air flow, employing Bernoulli's equation and Euler's equation in combination with the dynamic theory of body motion. Within this mathematical model, a comprehensive analysis of the impact of air flow through the “orifice area \(S_{z} \left( x \right)\) ” has been conducted, accompanied by the proposition of potential resolutions to enhance the recoil brake’s performance.