Population balance model for nucleation, growth, aggregation, and breakage of hydrate particles in turbulent flow

This article describes a computational model for the size evolution of hydrate particles in a pipeline-pump system with turbulent flow. The model is based on the population balance principle, and the simulation results were validated with data from an experimental study of a flow loop containing hydrate particles reported in the literature. It is found that the particle size is significantly influenced by aggregation and breakage, related to shear in the flow, and that these effects are comparable to those of growth and nucleation, related to diffusional processes. Two different approaches for hydrate growth and nucleation, one of continuous nucleation during the process and one of only an initial nucleation-pulse, were used. This was done to compare the aggregation and breakage parameters which come out when fitting the models output to experiment. These two approaches are found to give rise to similar aggregation/breakage parameters, lending credence to the pbm-based modeling. © 2009 American Institute of Chemical Engineers AIChE J, 2010

[1]  J. Butcher Numerical Methods for Ordinary Differential Equations: Butcher/Numerical Methods , 2005 .

[2]  P. Bahri,et al.  Polymer flocculation of calcite: Experimental results from turbulent pipe flow , 2006 .

[3]  S. G. Mason,et al.  The microrheology of colloidal dispersions VII. Orthokinetic doublet formation of spheres , 1977 .

[4]  P. Bishnoi,et al.  Kinetics of ethane hydrate formation , 1985 .

[5]  R. D. Vigil,et al.  CFD simulation of aggregation and breakage processes in laminar Taylor-Couette flow. , 2005, Journal of colloid and interface science.

[6]  M. Clarke,et al.  Determination of the Intrinsic Rate of Gas Hydrate Decomposition Using Particle Size Analysis , 2000 .

[7]  M. Lutz,et al.  Electrodiffusional flow diagnostics in a centrifugal pump , 1998 .

[8]  Shuanshi Fan,et al.  Experimental study on flow characters of CH3CCl2F hydrate slurry , 2008 .

[9]  A. Aliev,et al.  Method of gas hydrate formation for evaluation of water desalination , 2008 .

[10]  M. Lutz,et al.  Shear rate on centrifugal pump impeller , 1996 .

[11]  A. Macchi,et al.  Gas Hydrate Growth Model in a Semibatch Stirred Tank Reactor , 2007 .

[12]  E. D. Sloan,et al.  Micromechanical adhesion force measurements between tetrahydrofuran hydrate particles. , 2007, Journal of colloid and interface science.

[13]  P. Bishnoi,et al.  A kinetic study of methane hydrate formation , 1983 .

[14]  Patrick T. Spicer,et al.  Coagulation and fragmentation: Universal steady‐state particle‐size distribution , 1996 .

[15]  D. Thoenes,et al.  Coagulation in turbulent flow. Part II , 1989 .

[16]  Alan Jones,et al.  On the effect of liquid mixing rate on primary crystal size during the gas-liquid precipitation of calcium carbonate , 1992 .

[17]  M. Hounslow,et al.  A discretized population balance for nucleation, growth, and aggregation , 1988 .

[18]  Y. Peysson,et al.  Rheological and Flow Properties of Gas Hydrate Suspensions , 2004 .

[19]  J. Herri,et al.  Methane hydrate crystallization mechanism from in‐situ particle sizing , 1999 .

[20]  J. Herri,et al.  Rheological study of TBAB hydrate slurries as secondary two-phase refrigerants , 2005 .

[21]  E. D. Sloan,et al.  Fundamental principles and applications of natural gas hydrates , 2003, Nature.

[22]  Karel Antonius Kusters,et al.  The influence of turbulence on aggregation of small particles in agitated vessels , 1991 .