Water-Exit Process Modeling and Added-Mass Calculation of the Submarine-Launched Missile

Abstract

In the process that the submarine-launched missile exits the water

Modelling and simulation of a bioinspired aquatic micro aerial vehicle

“…B, extended to the time-varying case. Comparable semi-empirical approaches have for instance been applied to missiles exiting water, 22 and to conic wedges entering water 29 -while the current study involves more extensive simplifications, this suggests that the type of approach is in principle applicable to water entry/exit problems. Unlike in the underwater case, the geometry of the body varies during the transition phases.…”

“…While studies on UAVs and small submarines often neglect the added mass component altogether, other studies have suggested that this component can be significant, particularly for bodies transitioning between different fluids. 22 Given that the added mass is in any case non-negligible during water-air transitions, the term was also retained for the underwater component of the model.…”

“…vertical impact, ideal symmetric shape, ideal fluid at rest, etc. 22,28,29 While several more elaborate analytical formulations have been introduced, 30 e.g. accounting for additional effects such as cavitation, or for complex geometries or kinematics, especially applied studies typically use CFD approaches or significant simplifications to simulate water entry.…”

“…accounting for additional effects such as cavitation, or for complex geometries or kinematics, especially applied studies typically use CFD approaches or significant simplifications to simulate water entry. 22 Given that the intended purpose of the current simulation model was to support the development of control systems and to provide a basic idea of the system dynamics, computationally heavy models, e.g. CFD-based ones, were not considered.…”

“…Hence, the total added mass (Eqs. [16][17][18] was reformulated to include an additional term: 22,29 F am,x,impact = λ 11u +λ 11 u (24)…”