Analytical Modelling
Many problems can be addressed in part or entirely using analytical techniques. Unlike the computational approach, where the complete system of partial differential equations are simulated, an analytical approach generally involves the combination of simplified equations, integral momentum methods and empirical/semi-empirical correlations. These models are often coupled with mechanical systems through force and energy balances. Another class of simulations performed by Coanda involves the use of Monte-Carlo techniques to generate probabilistic solutions for problems that are dominated by randomized processes. Some examples of analytical models we have developed include:
- RPM ramp-down characteristics of very large mixer systems following power failures.
- Simulation of purging in piping systems including the effects such as mixing and buoyancy.
- Simulation of a multi-point optical flow meter using the Monte-Carlo technique.
Shown here is a GUI of a Monte-Carlo simulation developed to predicted the accuracy PDF for a population of flow meters installed in a population of locations, by accounting for the variability in velocity distributions, turbulence, the random arrival of particles and variability in the manufacturing process. The simulation was used to model various meter designs, tolerances and field conditions.