Numerical Simulation Of Liquid Sloshing In An Axisymmetric Tank With Acceleration

Nowadays many large-scale fuel reservoirs have been installed in order to satisfy various requirements of movement and long life condition. The sloshing of liquid fuel will have huge influence on the spacecraft's stability, control precision, structural strength and the fuel management, when the spacecraft carries on the track to the movements of shift, attitude of maneuver, and the rendezvous of docking and separating. So the problems of liquid sloshing have attracted more and more serious attentions to spacecraft's design.The liquid slosh is the topic of non-compressible flow dynamics at the beginning of boundary value problem which forms as a result of the free surface, so solving the liquid of sloshing for N-S equation can been divided into two kind of questions which are the small scale and the large scale rocking, respectively.The liquid rocking in small scale mainly concentrates on the solution of the linearization for N-S equation, including the freely sloshing of liquid under the stable state of motion, the liquid in the reservoir to compel freely rock under the perturbation drive, and the analysis of equivalent mechanical model. At the meanwhile, perturbation theory is applied to correct the model of nonlinear small scale liquid rocking. The large nonlinear liquid rocking theory is directly used to solve the fluid motion which is to disturb in the reservoir fluid motion N-S equation.The axial symmetry container is usually applied in the engineering design. Not only is the rule of axial symmetry helpful to enhance the mechanical strength and rigidity of the body, enlarge the volume, reduce the weight and debase the difficulty of processing, but also greatly convenient for the analysis of dynamics.In this paper, the FEM is used to investigate the characteristic issue of liquid sloshing, which is in axisymmetric tank with acceleration and transform the differential equation's boundary value problem into the functional question of equivalent integral form. Based on this, we adopt the Petrov-Galerkin law to compute, has compiled the universal routine which can solve the inherent frequency in axial symmetry vessel, and compare with the standard Galerkin's result. The outcome demonstrates that Petrov-Galerkin also has certain superiority in processing liquid sloshing.