March 9, 2023
Mohamed Aly Sayed

Particulate Raleigh Benard Convection

Rayleigh-Bénard Convection (RBC) refers to the flow of fluids when heated from below and cooled from above. Particulate flows, on the other hand, refer to the flow of fluids that contain solid particles. In RBC, particulate flows can have several applications in various fields: In industry, particulate flows in RBC can be used to improve the efficiency of heat transfer in industrial processes. For example, the use of nanoparticle suspensions in RBC can enhance the transfer in various industrial applications, such as electronics cooling, energy storage, and thermal management. In medical applications, particulate flows in RBC can be used to study blood flow in the body.

In industry, particulate flows in RBC can be used to improve the efficiency of heat transfer in industrial processes. For example, the use of nanoparticle suspensions in RBC can enhance heat transfer in various industrial applications, such as electronics cooling, energy storage, and thermal management. In medical applications, particulate flows in RBC can be used to study blood flow in the body. The particulate flows can simulate the behavior of blood cells and help researchers understand the flow dynamics of blood in various physiological conditions. In geophysics, particulate flows in Rayleigh-Bénard convection can be used to study the flow of magma in volcanoes. The behavior of the solid particles in the magma can be used to understand the dynamics of volcanic eruptions and predict their behavior.

Simulating particles in RBC cases is crucial for gaining a deeper understanding of the underlying physics. However, it is also important to be aware of the challenges that arise when solving buoyancy-driven particulate flows. Through careful attention to numerical methods and model parameters, we can gain valuable insights into these complex systems and their behavior.

As the available CPU power is increasing rapidly, the ability to accurately predict particle motion in complex fluid flows becomes more feasible. This is especially true in buoyancy-driven flows like the RBC benchmark. In these cases, Lagrangian particle tracking is a such powerful tool CFD to trace the behavior of the fluid flow as well as to model the complex behavior of the dispersed particles in these carrier fluids. By tracking individual particles, we can gain insight into how they interact with the fluid flow and better understand the underlying physics of the system.

As a matter of fact, simulating buoyancy-driven particulate flow can be quite tricky (additional forces might be required in the Lagrangian equation of motion). These include the need for high spatial and temporal resolution, as well as numerical stability issues due to the highly non-linear nature of the problem. In addition to that, due attention must be paid to the advection schemes used, precision accuracy, and initial conditions - in order to accurately capture the physics of such a system.

T-Flows code