ICEEM07: Three-Dimensional Flow Optimization of a Pneumatic Pulsator Nozzle with a Continuous Adjoint
-
Krzysztof J. Wołosz
and
Jacek Wernik
Abstract
The article presents results of multi-criteria optimization of air nozzle topology. The optimization in the Computational Fluid Dynamics (CFD) has been recently developed since equations of flow in porous media were applied among others governing equations. Optimization is a seeking for extremum of an objective function with respect to the function constraints. With this definition in mind, the optimization by using a continuous adjoint for the current cases is a finding such channel topology which minimizes for example pressure or energy loss when the constraints of objective function are in the form of flow governing equations of momentum and continuity. This methodology of optimization makes a design process faster comparing to the methods related to Design of Experiments (DoE). However, for the sake of flow governing equations nonlinearity, the continuous adjoint method can be successfully applied only in relatively simply and steady-state cases. The method consists in seeking of a global extremum of objective function. This extremum can sometimes be find in only simple and stationary events. The results of optimization of two selected cases are presented in the article and show advantages and limitations of the method applied. The continuous adjoint simulation results indicate the nozzles design directions and can be applied in industry with limited reliability. The object of research reported in the article is the nozzle which is augmented equipment used with a pneumatic pulsator. The pulsators are devices that utilize an air stream to destruct vaults created in loose material structure. The pulsator productivity equipped with a nozzle depends on outlet pressure. Therefore, the optimization problem was stated so that pressure loss is to be as low as possible.
Nomenclature
Abbreviations
- CFD
Computational Fluid Dynamics
- CFD-O
CFD – Optimization
- DoE
Design of Experiments
Symbols
Hydraulic diameter
Vector of unit body forces
- I
Turbulence intensity
- J
Objective function
- L
Lagrange function
Vector of residuals of governing equations solutions
Reynolds number
- S
Surface
Vector of unit body forces
Surface vector
- V
Volume
- k
Turbulent kinetic energy
- l
Turbulent length scale
Normal vector
- p
Pressure
Total pressure
Adjoint pressure
- t
Time
Velocity vector
Adjoint velocity vector
Magnitude of velocity normal to the boundary
Porosity
Density
Dynamic viscosity
Kinematic viscosity
Kinematic eddy viscosity
Specific dissipation rate
Indexes
cell number
inlet boundary
outlet boundary
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©2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- A Short Remark on WAN Model for Electrospinning and Bubble Electrospinning and Its Development
- ICEEM07: Three-Dimensional Flow Optimization of a Pneumatic Pulsator Nozzle with a Continuous Adjoint
- Homogeneous Sono-Fenton Process: Statistical Modeling and Global Sensitivity Analysis
- Mathematical Characterization of Bénard-Type Geothermal Scenarios Using Discriminated Non-dimensionalization of the Governing Equations
- Sequential Maximum Likelihood Estimation for the Parameter of the Linear Drift Term of the Rayleigh Diffusion Process
- A Class of Exact Solution of (3+1)-Dimensional Generalized Shallow Water Equation System
- Dynamically Induced Magnetic Moment of a Magnetic Dipole System
Articles in the same Issue
- Frontmatter
- A Short Remark on WAN Model for Electrospinning and Bubble Electrospinning and Its Development
- ICEEM07: Three-Dimensional Flow Optimization of a Pneumatic Pulsator Nozzle with a Continuous Adjoint
- Homogeneous Sono-Fenton Process: Statistical Modeling and Global Sensitivity Analysis
- Mathematical Characterization of Bénard-Type Geothermal Scenarios Using Discriminated Non-dimensionalization of the Governing Equations
- Sequential Maximum Likelihood Estimation for the Parameter of the Linear Drift Term of the Rayleigh Diffusion Process
- A Class of Exact Solution of (3+1)-Dimensional Generalized Shallow Water Equation System
- Dynamically Induced Magnetic Moment of a Magnetic Dipole System
