Analysis on shock wave speed of water hammer of lifting pipes for deep-sea mining

Water hammer occurs whenever the fluid velocity in vertical lifting pipe systems for deep-sea mining suddenly changes. In this work, the shock wave was proven to play an important role in changing pressures and periods, and mathematical and numerical modeling technology was presented for simulated transient pressure in the abnormal pump operation. As volume concentrations were taken into account of shock wave speed, the experiment results about the pressure-time history, discharge-time history and period for the lifting pipe system showed that: as its concentrations rose up, the maximum transient pressure went down, so did its discharges; when its volume concentrations increased gradually, the period numbers of pressure decay were getting less and less, and the corresponding shock wave speed decreased. These results have highly coincided with simulation results. The conclusions are important to design lifting transporting system to prevent water hammer in order to avoid potentially devastating consequences, such as damage to components and equipment and risks to personnel.

[1]  Martin F. Lambert,et al.  Parameters affecting water-hammer wave attenuation, shape and timing—Part 1: Mathematical tools , 2008 .

[2]  Angus R. Simpson,et al.  Skalak's extended theory of water hammer , 2008 .

[3]  AS Arris Tijsseling,et al.  Travelling discontinuities in waterhammer theory : attenuation due to friction , 2000 .

[4]  Cedo Maksimovic,et al.  The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part II—model development, calibration and verification , 2005 .

[5]  As Arris Tijsseling,et al.  The Joukowsky equation for fluids and solids , 2006 .

[6]  A. Tijsseling,et al.  Fluid transients and fluid-structure interaction in flexible liquid-filled piping , 2001 .

[7]  Frantisek Vales,et al.  Wave Propagation in a Thick Cylindrical Bar Due to Longitudinal Impact , 1996 .

[8]  Bryan W. Karney,et al.  Discussion of "Spline Interpolations for Water Hammer Analysis" , 1992 .

[9]  G. Zeggwagh,et al.  Modélisation du phénomène de coup de bélier avec prise en compte du comportement réel de la conduite , 1998 .

[10]  George Shou Solid-liquid Flow System Simulation And Validation , 1999 .

[11]  Vinod K. Lohani,et al.  Water Hammer: An Analysis of Plumbing Systems, Intrusion, and Pump Operation , 2006 .

[12]  Lixiang Zhang,et al.  Analytical Solution for Fluid-Structure Interaction in Liquid-Filled Pipes Subjected to Impact-Induced Water Hammer , 2003 .

[13]  Zengnan Dong,et al.  Computing equations of water hammer in pseudohomogeneous solid-liquid flow and their verification , 2000 .

[14]  Martin F. Lambert,et al.  Parameters affecting water-hammer wave attenuation, shape and timing—Part 2: Case studies , 2008 .