ANALYTICAL STUDY OF WAVE MAKING IN A FLUME WITH A PARTIALLY REFLECTING END-WALL

• Published in: Journal of hydrodynamics. Series B Vol. 22; no. 3; pp. 402 - 409
• Main Authors: ZHOU, Bin-zhen, NING, De-zhi, TENG, Bin, CHEN, Li-fen
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.06.2010; Springer Singapore; State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China%State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering,Nanjing Hydraulic Research Institute,Nanjing 210029,China
• Subjects: analytical study; Boundaries; eigenfunction; Elevation; Engineering; Engineering Fluid Dynamics; Flumes; Hydrology/Water Resources; Mathematical analysis; Numerical and Computational Physics; partially reflecting end-wall; Reflection; Reflection coefficient; resonance; Resonant frequency; Simulation; wave flume; Wave generation; wave maker; 函数展开; 反射系数; 基于特征; 数值结果; 水槽实验; 自然频率; 解析表达式; 边界元方法; resonance; partially reflecting end-wall; analytical study; wave flume; wave maker; eigenfunction
• ISSN: 1001-6058; 1878-0342
• DOI: 10.1016/S1001-6058(09)60071-8

Based on the eigenfunction expansion technique, the wave generation by a piston wave maker in a wave flume with a partially reflecting end-wall is studied. The corresponding velocity potential and wave elevation in the flume are obtained. The present analytical solution is verified by the numerical results obtained from a time-domain higher-order boundary element method in a closed flume. Numerical experiments are further carried out to study the difference between the partial/full reflection boundary and the transmission boundary and the effects of the reflection coefficient and the motion period of the wave maker on the wave height. Meanwhile, the natural frequency of the wave flume can be obtained from the analytical expression. The resonance occurs when the motion frequency is equal to the natural frequency. Even the partial reflection of the end-wall in the wave flume experiments has a great influence on the wave height, therefore, inaccurate measurements would be resulted in long-time simulations, especially when the wave frequency approaches the wave flume natural frequency. The present study can serve as a guidance for the physical experiment in wave flumes.