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1. Full Text A discrete population balance equation for binary breakage
by Liao, Y and Oertel, R and Kriebitzsch, S and Schlegel, F and Lucas, D
International journal for numerical methods in fluids, ISSN 0271-2091, 06/2018, Volume 87, Issue 4, pp. 202 - 215
total breakup model | population balance equation | computational fluid dynamics | partial breakup model | binary breakup | method of classes | Mathematics, Interdisciplinary Applications | Physical Sciences | Computer Science, Interdisciplinary Applications | Physics, Fluids & Plasmas | Technology | Computer Science | Mechanics | Mathematics | Physics | Science & Technology | Fluid dynamics | Mortality | Analysis | Formulations | Size distribution | Computational fluid dynamics | Kernel functions | Preservation | Hydrodynamics | Kernels | Particle size distribution | Dynamics | Breakage | Computer applications | Breakup | Mathematical models | Distribution functions
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2. Full Text Analytical solution for a three-dimensional non-homogeneous bivariate population balance equation—a special case
by Bhutani, Gaurav and Brito-Parada, Pablo R
International journal of multiphase flow, ISSN 0301-9322, 03/2017, Volume 89, pp. 413 - 416
Bivariate population balance equation | Method of manufactured solutions | Analytical solution | Code verification | Mechanics | Technology | Science & Technology | Fluid dynamics
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3. Full Text A meshless Radial Basis Method (RBM) for solving the detailed population balance equation
by Alzyod, Samer and Charton, Sophie
Chemical engineering science, ISSN 0009-2509, 12/2020, Volume 228, p. 115973
Aggregation | Growth and nucleation | RBM | Population balance equation | Meshless method | Breakage | Engineering | Engineering, Chemical | Technology | Science & Technology | Analysis | Distribution (Probability theory) | Methods
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4. Full Text On the population balance equation
by Sporleder, Federico and Borka, Zsolt and Solsvik, Jannike and Jakobsen, Hugo A
Reviews in chemical engineering, ISSN 0167-8299, 07/2012, Volume 28, Issue 2, pp. 149 - 169
mathematical modeling | population balance equation (PBE) | population balance | Population balance equation (PBE) | Mathematical modeling | Population balance | Engineering | Engineering, Chemical | Technology | Science & Technology
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5. Full Text An extended quadrature method of moments for population balance equations
by Yuan, C and Laurent, F and Fox, R.O
Journal of aerosol science, ISSN 0021-8502, 09/2012, Volume 51, pp. 1 - 23
Aggregation | Extended quadrature method of moments (EQMOM) | Evaporation | Condensation | Population balance equation | Breakage | Engineering | Physical Sciences | Engineering, Chemical | Life Sciences & Biomedicine | Technology | Meteorology & Atmospheric Sciences | Environmental Sciences & Ecology | Engineering, Mechanical | Science & Technology | Environmental Sciences | Aerosols | Chemistry | General and physical chemistry | Colloidal state and disperse state | Exact sciences and technology | Mathematical Physics | Mechanics | Mechanics of the fluids | Mathematics | Fluids mechanics | Engineering Sciences | Physics
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6. Full Text Analytical time-stepping solution of the discretized population balance equation
by Jama, Mohamed Ali and Zhao, Wenli and Ahmad, Waqar and Buffo, Antonio and Alopaeus, Ville
Computers & chemical engineering, ISSN 0098-1354, 04/2020, Volume 135, p. 106741
Emulsion | Method of classes | Cellulose aging | Crystallization | Extraction | Dissolution | Time integration | Population balance | Engineering | Computer Science, Interdisciplinary Applications | Engineering, Chemical | Technology | Computer Science | Science & Technology | Chemical oceanography | Cellulose | Differential equations
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7. Full Text Population balance equation for turbulent polydispersed inertial droplets and particles
by Salehi, F and Cleary, M. J and Masri, A. R
Journal of fluid mechanics, ISSN 0022-1120, 11/2017, Volume 831, pp. 719 - 742
Papers | Mechanics | Physical Sciences | Physics, Fluids & Plasmas | Technology | Physics | Science & Technology | Turbulence | Shape | Turbulent flow | Stokes number | Computational fluid dynamics | Size | Probability theory | Fluid flow | Forces (mechanics) | Particulates | Data | Physical properties | Stokes law (fluid mechanics) | Dispersion | Probability density functions | Simulation | Computer applications | Population | Mathematical models | Droplets | Modelling | Formulas (mathematics)
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8. Full Text Solution of the population balance equation using the sectional quadrature method of moments (SQMOM)
by Attarakih, Menwer M and Drumm, Christian and Bart, Hans-Jörg
Chemical engineering science, ISSN 0009-2509, 2009, Volume 64, Issue 4, pp. 742 - 752
Agglomeration | Model reduction | Simulation | Sectional methods | Quadrature methods | Population balance | Applied sciences | Solid-solid systems | Sintering, pelletization, granulation | Chemical engineering | Exact sciences and technology | Models | Air quality management | Temperature inversions | Methods
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9. Full Text Exact solutions of population balance equation
by Lin, Fubiao and Flood, Adrian E and Meleshko, Sergey V
Communications in nonlinear science & numerical simulation, ISSN 1007-5704, 07/2016, Volume 36, pp. 378 - 390
Methods of moments | Lie group | Integro-differential equation | Population balance equation | Exact solutions | Mathematics, Interdisciplinary Applications | Physical Sciences | Physics, Fluids & Plasmas | Technology | Physics, Mathematical | Mechanics | Mathematics | Mathematics, Applied | Physics | Science & Technology | Polymerization | Differential equations | Time dependence | Dynamic tests | Nucleation | Mathematical analysis | Crystallization | Mathematical models | Dynamical systems
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10. Full Text A two-class population balance equation yielding bimodal flocculation of marine or estuarine sediments
by Lee, Byung Joon and Toorman, Erik and Molz, Fred J and Wang, Jian
Water research (Oxford), ISSN 0043-1354, 2011, Volume 45, Issue 5, pp. 2131 - 2145
Microfloc | Macrofloc | Bimodal | Sediment | Flocculation | Population balance equation | Engineering | Physical Sciences | Engineering, Environmental | Life Sciences & Biomedicine | Technology | Water Resources | Environmental Sciences & Ecology | Science & Technology | Environmental Sciences | Applied sciences | Pollution | Exact sciences and technology | Water treatment and pollution | Particle Size | Algorithms | Time Factors | Geologic Sediments - chemistry | Fresh Water - chemistry | Seawater - chemistry | Kinetics | Fittings | Marine | Estuarine environments | Computer simulation | Mathematical analysis | Estuaries | Mathematical models | Flocculating | Sediments | Index Medicus
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11. Full Text White–Metzner type viscoelastic model for cellulose nanofiber suspensions based on population balance equations for fiber floc aggregation-breakage
by Yamamoto, Takehiro
Journal of non-Newtonian fluid mechanics, ISSN 0377-0257, 02/2019, Volume 264, pp. 98 - 106
White–Metzner model | Krieger–Dougherty model | Viscoelastic model | Fiber flocs | Population balance equation | Cellulose nanofibers | Mechanics | Technology | Science & Technology | Mechanical engineering | Analysis | Cellulose | Viscosity | Viscoelasticity | Size distribution | Computational fluid dynamics | Cellulose fibers | Agglomeration | Velocity distribution | Velocity | Velocity gradient | Relaxation time | Population balance models | Stress relaxation | Stress distribution | Breakage | Dependence | Mathematical models | Numerical prediction | Nanofibers | Shear thinning (liquids) | Circular tubes | Rheological properties
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