Two-dimensional viscous numerical simulation of liquid sloshing in rectangular tank with/without baffles and comparison with potential flow solutions
Two-dimensional viscous numerical simulation of liquid sloshing in rectangular tank with/without baffles and comparison with potential flow solutions
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DOI：
10.1016/j.oceaneng.2015.08.060
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发表时间：
2015-11
影响因子：
5
通讯作者：
Lin Lu;Sheng-Chao Jiang;Sheng-Chao Jiang;Mingde Zhao;G. Tang
中科院分区：
文献类型：
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作者：
Lin Lu;Sheng-Chao Jiang;Sheng-Chao Jiang;Mingde Zhao;G. Tang
针对有/无挡板矩形槽内液体晃动问题，建立了基于非惯性参考系的粘性流体模型。根据现有的理论解、实验数据以及线性和非线性势流模型和不同的Navier-Stokes解的数值预测，验证了数值模型的准确性。数值试验表明，不论是无挡板还是有挡板的水箱，耗散效应对晃动响应都有显著影响。由于物理耗散，与固有频率相关的晃动响应最终可以被衰减，而它们完全保留在势解中，这解释了势流理论对晃动幅度的一般过度预测。由于涡流较强，隔板槽内的晃动耗散较大。谐振频率和振幅高度依赖于挡板的宽度和位置。谐振条件下的相对晃动幅值随激励幅值呈幂律减小。论述了用粘性流体模型进行晃动预测的必要性。为了得到令人信服的稳定解，特别是对于弱阻尼晃动运动，必须进行极长时间的数值计算。
A viscous fluid model based on non-inertial reference system is developed for the problem of liquid sloshing in rectangular tank with/without baffles. The accuracy of the numerical model is validated against available theoretical solutions, experimental data and numerical predictions by linear and nonlinear potential flow models and different Navier–Stokes solvers. The numerical examinations indicate that the dissipative effects have significant influence on the sloshing responses in both non-baffled and baffled tanks. The sloshing responses that are associated with the natural frequencies can be finally damped out due to the physical dissipations, while they are entirely retained in the potential solutions, which accounts for the general over-predictions of sloshing amplitudes by the potential flow theory. The sloshing in baffled tank involves more dissipation due to the stronger vortical flow. The resonant frequency and amplitude are highly dependent on the baffle width and position. The relative sloshing amplitudes around the resonant condition are found to decrease with the excitation amplitude in a power law. The necessity of using viscous fluid model for sloshing predictions is addressed. The extremely long numerical computations have to be carried out in order to obtain convincing stable solutions, especially for the weakly damped sloshing motion.