Development and implementation of a polydispersed multiphase flow model in OpenFOAM

Bove, S. (2005). Computational fluid dynamics of gas–liquid flows including bubble population balances, Ph.D. thesis. Esbjerg Institute of Engineering Denmark. Chen, 2004, CFD modeling of bubble columns flows: Implementation of population balance, Chemical Engineering Science, 59, 5201, 10.1016/j.ces.2004.07.037 Drew, 1999 Fan, 2004, Application of the direct quadrature method of moments to polydisperse gas-solid fluidized beds, Powder Technology, 139, 7, 10.1016/j.powtec.2003.10.005 Fox, 2005, Bivariate direct quadrature method of moments for coagulation and sintering of particle populations, Journal of Aeorosol Science, 37, 1562, 10.1016/j.jaerosci.2006.03.005 Fox, 2008, Numerical Simulation of spray coalescence in an Eulerian framework: Direct quadrature method of moments and multi-fluid method, Journal of Computational Physics, 227, 3058, 10.1016/j.jcp.2007.10.028 Gordon, 1968, Error bounds in equilibrium statistical mechanics, AIChE Journal, 9, 655 Hounslow, 1988, A discretized population balance for nucleation, growth and aggregation, AIChE Journal, 34, 1821, 10.1002/aic.690341108 Ishii, 1975 Issa, 1986, Solution of the implicitly discretised fluid flow equations by operator-splitting, Journal of Computational Physics, 62, 40, 10.1016/0021-9991(86)90099-9 Jasak, H. (1996). Error analysis and estimation for the finite volume method with applications to fluid flows, Ph.D. thesis. Imperial College of Science, Technology and Medicine, UK. Jasak, 1999, High resolution NVD differencing scheme for arbitrarilly unstructured meshes, International Journal of Numerical Methods in Fluids, 31, 431, 10.1002/(SICI)1097-0363(19990930)31:2<431::AID-FLD884>3.0.CO;2-T Karypis, 1999, A fast and high quality multilevel scheme for partitioning irregular graphs, SIAM Journal on Scientific Computing, 20, 359, 10.1137/S1064827595287997 Kumar, 2006, Improved accuracy and convergence of discretized population balance for aggregation: The cell average technique, Chemical Engineering Science, 61, 3327, 10.1016/j.ces.2005.12.014 Kumar, 1996, On the solution of population balance equations by discretization. I. A fixed pivot technique, Chemical Engineering Science, 51, 1311, 10.1016/0009-2509(96)88489-2 Loth, 2000, Numerical approaches for motion of dispersed particles, droplets and bubbles, Progress in Energy and Combustion Science, 26, 161, 10.1016/S0360-1285(99)00013-1 Marchisio, 2005, Solution of the population balance equation using the direct quadrature method of moments, Journal of Aeorosol Science, 36, 43, 10.1016/j.jaerosci.2004.07.009 McCoy, 2003, Analytical solution for a population balance equation with aggregation and fragmentation, Chemical Engineering Science, 58, 3049, 10.1016/S0009-2509(03)00159-3 McGraw, 1997, Description of the aerosol dynamics by the quadrature method of moments, Aerosol Science and Technology, 27, 255, 10.1080/02786829708965471 Oliveira, 2003, Numerical aspects of an algorithm for the eulerian simulation of two-phase flows, International Journal of Numerical Methods in Fluids, 43, 1177, 10.1002/fld.508 OpenCFD Ltd (2008). OpenFOAM: The open source computational fluid dynamics (CFD) toolbox. www.opencfd.co.uk/openfoam/. Petitti, 2010, Bubble size distribution modeling in stirred gas–liquid reactors with QMOM augmented by a new correction algorithm, AIChE Journal, 56, 36, 10.1002/aic.12003 Podilaa, 2007, CFD simulation of gas–liquid contacting in tubular reactors, Chemical Engineering Science, 62, 7151, 10.1016/j.ces.2007.08.081 Ramkrishna, 2000 Ramkrishna, 1973, A puristic analysis of population balance—I, Chemical Engineering Science, 28, 1423, 10.1016/0009-2509(73)85147-4 Rusche, H. (2002). Computational fluid dynamics of dispersed two-phase flows at high phase fractions, Ph.D. thesis. Imperial College of Science, Technology and Medicine, UK. Schiller, 1933, Über die grundlegenden berechungen bei der schwerkraftbereitung, Zeitschrift fur Vereins Deutschen Ingenieur, 77, 318 Shah, 1977, Simulation of particulate systems using the concept of the interval of quiescence, AIChE Journal, 23, 897, 10.1002/aic.690230617 Silva, 2008, Implementation and analysis of numerical solution of the population balance equation in CFD packages, Computers and Chemical Engineering, 32, 2933, 10.1016/j.compchemeng.2008.03.007 Weller, H. (2002). Derivation, modelling and solution of the conditionally averaged two-phase flow equations. Technical Report TR/HGW/02 Nabla Ltd. Weller, 1998, A tensorial approach to continuum mechanics using object-oriented techniques, Computers in Physics, 12, 620, 10.1063/1.168744