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# Helical Wind Turbine, ANSYS Fluent CFD Simulation Training

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This project is going to simulate an airflow field close to a vertical axis helical wind turbine.

This product includes a Mesh file and a comprehensive Training Movie.

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## Introduction (Helical Wind Turbine)

Vertical Axis Wind Turbine (VAWT) is becoming ever more important in wind power generation thanks to their adaptability for domestic installations. However, it is known that VAWTs have lower efficiency, above all, if compared to HAWTs. To improve VAWTs performance, industries and researchers are trying to optimize the design of the rotors. Some numerical codes like the Vortex Method or Multiple Stream tube Model have been developed to predict VAWTs performance and maximize efficiency. Still, these codes are based on 1D simplified equations, and they need accurate experimental data for aerodynamic coefficients of the airfoils.

Furthermore, they do not provide information on the wakes, and they use semi-empirical equations to predict effects like tip vortex and dynamic stall. These codes are so mainly used to do a first attempt design, and the results have to be validated using wind tunnel experiments. However, as wind tunnel experiments are expensive in terms of both costs and time, another way to study the aerodynamic behavior of the rotors is to use CFD. As it is known, CFD resolves the fluid dynamic equations, and it is certainly more realistic. In this regard, CFD has been employed to evaluate this type of turbine evaluation in this study.

## Project Description

This project is going to simulate an airflow field close to a vertical axis helical wind turbine. The geometry included a rotary zone for the turbine walls and a stationary zone for the rest of the domain. The inlet is considered to wind with 1 m/s, and the turbine zone is rotating with 120 RPM. This paper aims to investigate the behavior of airflow and pressure distribution and study drag force.

## Mathematical Modeling

To study a horizontal wind turbine, one must solve the flow equations in the differential form. Assuming an isothermal, incompressible condition for the air around the blades, two forces known as the Coriolis and centripetal accelerations are the primary source terms exerting on the flow elements. These forces are appearing as the rotating zone starts to move in the current simulation. Briefly, the governing mass and momentum equations are written as follows:

## Helical Wind Turbine  Geometry and Mesh

As a numerical study, the initial step towards the modeling is producing the CAD geometry, which is depicted below. The blue face is considered as the inlet of the domain, while the red face on the other side is regarded as the outlet. The current computational domain is the representation of the wind turbine that we have evaluated the turbine. For the current problem, a mesh count of 2,129,987 elements was created to represent the geometry. Regarding the quality of the mesh, the maximum skewness of 0.92 with an average of 0.28 is a fine mesh for the current problem. In addition, for an interested reader, the quality distribution of mesh is shown as follows.

Also, 25 prism layers were added adjacent to both wind tunnel walls, while only 3 prism layers were added to blade walls since the geometry is highly complex. Finally, the mesh is generated through ANSYS-Meshing and is as below.     As a final note, due to having a turbomachinery simulation, we separate a cylindrical zone from the whole computational geometry (blue zone) as the rotary geometry.

## Helical Wind Turbine CFD Simulation Settings

By importing the mesh into the ANSYS-FLUENT solver, we start the calculation procedure. As discussed before, an incompressible, isothermal condition has found to be a valid assumption for the current simulation. However, we ignore the gravity for two main reasons. First, the gravity source would produce equivalent force for the fluid cells if we consider an isothermal condition. Thus, it won’t affect the character of the fluid flow.

Moreover, the flow field is fully turbulent. Thus, we select the k-w-SST turbulent model for the evaluation of eddies. The noted model has been more accurate than any other eddy-viscosity variation due to a hybrid formulation that takes care of both wall effects and the core flow strain rate. Details of the solution setup are as follows:

 Solver settings: (Helical Wind Turbine) Type: Pressure-based Velocity formulation: Absolute Time setting: Transient Gravity: Off Energy: Off Model: k-w-SST Zone: Static fluid zone: Rectangular Box: default Rotary fluid zone: Cylindrical: Mesh-Motion Axis: Z-direction Axis point: (0,0,0) Rotational Speed: 60 RPM Boundary conditions: Turbine Walls: No-slip Inlet: velocity inlet: 1 m/s Outlet: pressure outlet Wind Tunnel walls: Symmetry Operating Condition: Reference Pressure Point: 101325 Pa Solver Properties: (Helical Wind Turbine) Solution methods: Coupled Pseudo Transient Pressure interpolation scheme: Second-Order Momentum: Second-Order Turbulence: First-Order Relaxation: Default Time-step: 1e-3, Number of Iterations = 5000 Initialization: Standard > from inlet Material used: (Helical Wind Turbine) Fluid: Air – constant properties Density: 1.225 kg/(m3) Viscosity: 1.7894×10-5 (Pa.s) Monitor: Drag Value of Blade wall in X-direction

## Results and Discussions

After the solution convergence, we observe the results through post-processing. Meanwhile, as an assurance of an excellent convergence, we monitor the drag value during the solution iterations. In this study, the solution converged one when the drag force reached a constant rate, and the residuals were below 10-4 values.

Regarding the results, we present the pressure and the velocity field below the figures. The leading edge of the turbine wall suffers from the highest-pressure gradient, which is entirely logical since the velocity has just met zero.

For the velocity field, we show both contour and streamlines to give much insight into the problem. Briefly, the velocity field adjacent to the wall of the turbine has the highest gradient. Additionally, the streamlines vectors illustrate the quality of the flow streams resolved in the wake section, which is the core challenge of aerodynamic simulation.

Finally, the drag force is 2.30 (N), which is accurate for a turbine with the noted specifications.

There are a Mesh file and a comprehensive Training Movie that presents how to solve the problem and extract all desired results.

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