Fluidized Bed Polymerization Reactor, Paper Numerical Validation, ANSYS Fluent Training
The problem is going to validate a paper related to a two-phase flow (gas-solid) inside a fluidized bed reactor with simple geometry .
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Fluidized Bed Reactors
A reactor is a device for performing chemical reactions (conversion, composition, decomposition, etc.) using catalysts and, as a result, the conversion of raw materials into desired products. We can build reactors on both large-scale industrial and small-scale laboratory scales. Due to the economic aspects in the production of reactors, it is necessary to design reactors with higher efficiency but lower cost and lower energy consumption; therefore, in the design of reactors, parameters such as volume, temperature, pressure, particle concentration, particle residence time, heat transfer coefficient, and reaction rate are important.
Chemical reactors have different classifications in various respects, including continuous and discontinuous reactors (in terms of continuity in the entry of reactive materials and output of products), homogeneous and heterogeneous reactors (in terms of phases involved in the reaction), pipe and tank reactors (in terms of reactor housing structure), and fixed bed and fluidized bed reactors (in terms of the behavior of the solid particles in the reactor).
Fluidized Bed Reactors
In fixed bed reactors, the solids are stationary inside the reactor as a catalyst, and the reactants pass through these materials, reacting and leaving the reactor, while in fluidized bed reactors, the solids are as reactants or catalysts, suspended in the flow under pressure.
The fluidized bed type reactor has advantages such as high heat transfer rate and high mass transfer rate, need for lower heat transfer surface, uniform temperature distribution, proper temperature control, as well as complete and rapid mixing of reactors and catalysts. In fact, the main advantage of the fluidized bed type reactor in comparison with the fixed bed type is the ability to control the temperature and prevent the formation of hot spots, which is necessary for any reaction. Fluidized bed reactors have many industrial applications, including the petrochemical, chemical, electricity generation, incinerator, etc.
The following figure shows a schematic of a fluidized bed reactor.
The problem is going to simulate a two-phase flow inside a fluidized bed reactor with simple geometry by ANSYS Fluent software. The results are compared and validated with a paper called “A fundamental CFD study of the gas–solid flow field in fluidized bed polymerization reactors“. Since the performance of reactors is inherently based on the mixing of flows and particles as reactants and catalysts in the chemical reaction process, a multi-phase model has been used to define the fluid flow within the model. Also, considering that the present model is related to simulating the suspension of solid particles within a fluid flow like a fluidized bed model, choosing the Eulerian multi-phase flow model is the most appropriate option.
Therefore, the model includes a gas flow defined in the software as the primary phase with a density of 21.56 kg.m-3 and a viscosity of 0.00001081 kg.m-1.s-1 and suspended solids defined as a secondary phase with a density of 910 kg.m-3 and the viscosity is 0.000017894 kg.m-1.s-1. The simulation process is such that in the initial state inside the chamber, the solid suspended particles are only up to a height of 20 cm from the chamber bottom with a volume fraction of 0.63 inside the gas flow. The operating pressure of the system is defined as 1400000 pa.
The gas flow enters vertically and upwards at a speed of 0.3 m.s-1, while no solid particles enter the reactor. The simulation process was performed over a period of 4 s with a time step of 0.001 s. The aim of the present study is to investigate the behavior of suspended solid particles in the gas flow over time as well as the pressure drop generated from the reactor inlet to the outlet.
Geometry & Mesh
The 2-D geometry of the present model is generated using Design Modeler software. The geometry of the model consists of a simple rectangle with dimensions of 33 and 90 cm, which has fixed walls on both sides and the direction of flow from the entrance to the exit of the model is upwards. The figure below shows an overview of the model’s geometry.
The meshing of the present model has been done using ANSYS Meshing software. The mesh type is structured and the element number is 24,750. The figure below shows a view of the mesh.
To simulate the present model, several assumptions are considered, which are:
- The solver is Pressure-Based.
- Simulation has only examined fluid behavior; in other words, heat transfer simulation has not been performed.
- The present model is unsteady in terms of time because the nature of the model is such that the behavior of the particles in the model changes over time.
- The effect of gravity is considered to be 9.81 m.s-2 along the y-axis in the present model.
The following is a summary of the steps for defining a problem and its solution:
|standard wall function||near-wall treatment|
|mixture||turbulence multiphase model|
|gas and particles||phases|
|Boundary conditions (Fluidized Bed)|
|0 pascal||supersonic/initial gauge pressure||mixture|
|0.3 m.s-1||velocity magnitude||gas|
|0 m.s-1||velocity magnitude||particles|
|101325 pascal||gauge pressure||mixture|
|1||backflow volume fraction||gas|
|0||backflow volume fraction||particles|
|wall||right and left wall|
|stationary wall||wall motion|
|Solution Methods (Fluidized Bed)|
|Phase Coupled SIMPLE||Pressure-velocity coupling|
|first order upwind||momentum|
|first order upwind||turbulent dissipation rate|
|first order upwind||turbulent kinetic energy|
|modified HRIC||volume fraction|
|Initialization (Fluidized Bed)|
|Standard, patch||Initialization method|
|0 m.s-1||gas velocity (x)|
|0.3 m.s-1||gas velocity (y)|
|0 pascal||gauge pressure|
|0 m.s-1||particle velocity (x,y)|
|0||particle volume fraction|
|0.63||particle volume fraction||patch|
Fluidized Bed Reactor Results
After the solution process is complete, two-dimensional contours related to the mixture pressure, gas flow velocity and suspended solids, and volume fraction of the gas flow and solid suspended particles from zero to four seconds are obtained. Also, the amount of pressure in the inlet and outlet sections and as a result the pressure drop in the model is obtained at different times and is presented in the form of a pressure drop as a function of time.
Fluidized Bed Reactor Validation
In the present model, the amount of pressure drop is obtained from the input to the output section, so that the amount of pressure drop is equal to the static pressure difference between the inlet and outlet. The amount of pressure drop at different times (every 0.2 seconds) was obtained using facet average and the graph of points obtained in excel was plotted and compared with the results in the article.
To validate the present numerical simulation results, the diagram in Figure 6 of the article has been used. This diagram shows the pressure drop that appears within the model over a period of 4 seconds. This pressure drop is equivalent to the calculated pressure difference between the inlet and outlet boundaries of the model. This amount of pressure is obtained using the facet average command. A comparison of the results of the current numerical simulation with the results of the numerical work of the article is shown in the image below.
You can obtain Geometry & Mesh file and a comprehensive Training Movie that presents how to solve the problem and extract all desired results.