Population Balance Model (PBM)

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Outsource your project to the MR CFD simulation engineering team. Our experts are ready to carry out every CFD project in all related engineering fields. Our services include industrial and academic purposes, considering the ANSYS Fluent software's wide range of CFD simulations. By outsourcing your project, you can benefit from MR CFD's primary services, including Consultation, Training, and CFD Simulation. The project freelancing procedure is as follows:


An official contract will be set based on your project description and details.


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You will receive the project's resource files after you confirm the final report.


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What is the Population balance model (PBM)?

The Population Balance Model (PBM) is one of the concepts in collective phenomenology. This concept is used when components or particles move through state-space or during birth and death processes, the current particles are destroyed, and new particles are produced.

The main application of this model is related to currents that include a second phase with a specific size distribution. Particle size distribution, including solid particles, bubbles, droplets, etc., can evolve due to transfer within the base fluid or due to the occurrence of chemical reactions in a multiphase system. Evolutionary processes include nucleation, growth, Aggregation, and Breakage.

Population Balance Model

Consider, for example, a precipitation process. This process is related to forming solid particles from a liquid solution and consists of several processes, including nucleation, growth, Aggregation, failure, etc. These processes increase or decrease the number of particles of a specific size. So it can be said that PBM means balance in the number of particles with a particular state (for example, particle size in the example).

 PBM Application

The particle PBM is used in various topics, including crystallization processes, precipitative reactions, bubble columns, sprays, polymerization with fluidized bed, grain Granulation, liquid-liquid emulsion, aerosol flows, leaching metallurgy, liquid-liquid extraction, gas-liquid dispersion, liquid-liquid reactions, biology, etc.

Population Balance Equation Application

A PBM equation is needed to describe population or particle density changes in multiphase flows involving a given size distribution. This balance equation is commonly known as the PBM equation. In fact, in multiphase currents with particle distribution and the equilibrium equations of momentum, mass, and energy, the population balance equation must also be solved.

Population Balance Equations are defined in several branches of modern science (mainly chemical engineering). These equations describe the gradual evolution of particles and the motion of a particle population. In other words, these equations define how individual particle populations develop over time in a series of distinct thermophysical properties. These equations include a set of integral-partial differential equations (PDE), each of which presents the field behavior of a population of particles based on the behavior of each independent particle in the local state.

Population Balance Model

MR-CFD Population Balance Services

With several years of experience simulating a wide range of problems in various CFD fields using Fluent software, the MR-CFD team is ready to offer extensive modeling, meshing, and simulation services. Simulation Services for Population balance model are categorized as follows:

  • CFD Simulation of distribution kinetics of plastics decomposition
  • Crystallization processes CFD Simulation
  • CFD Simulation of the liquid-liquid extraction column
  • CFD Simulation of foam transport in porous media
  • Multiphase CFD simulation (nucleation, coalesce …)
  • CFD Simulation of gas-liquid dispersion and liquid-liquid reaction

You may find the related products to the Population balance simulation category in Training Shop.

Our services are not limited to the mentioned subjects, and the MR-CFD is ready to undertake different and challenging projects in the Population balance Engineering modeling field ordered by our customers. We even accept carrying out CFD simulation for any abstract or concept design you have in your mind to turn them into reality and even help you reach the best design for what you may have imagined. You can benefit from MR-CFD expert consultation for free and then order your project to be simulated and trained.

By outsourcing your project to the MR-CFD as a CFD simulation freelancer, you will not only receive the related project’s resource files (Geometry, Mesh, Case & Data, …), but also you will be provided with an extensive tutorial video demonstrating how you can create the geometry, mesh, and define the needed settings(pre-processing, processing and post-processing) in the ANSYS Fluent software all by yourself. Additionally, post-technical support is available to clarify issues and ambiguities.


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