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Francis Turbine CFD Simulation

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The present problem simulates the water flow inside a Francis water turbine.

This ANSYS Fluent project includes CFD simulation files and a training movie.

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To order your ANSYS Fluent project (CFD simulation and training), contact our experts via, online support, or WhatsApp.


To order your ANSYS Fluent project (CFD simulation and training) contact our experts via, online support, or WhatsApp.


Project Description

The present problem simulates the water flow inside a Francis water turbine. Water turbine is a turbomachinery that convert kinetic energy from water flow or potential energy from water height differences into rotational motion. Francis turbines are one of the types of water turbines that have the ability to use both kinetic and potential energy for power generation at the same time due to the location of their blades.

In this type of turbine, water flows into the helical chamber, because due to the circular structure of the blades, in order to improve the operational efficiency of the system, the flow of fluid colliding with the blades must be rotational. The water flow is then transferred to the turbine runner blades with a certain flow rate, and as a result, by rotating these blades by the water flow, the desired work is produced. Finally, the outflow of water from the turbine runner blades will be axial.

Project Description

In the present simulation, a flow of water with a flow rate of 1.996 kg.s-1 enters the inner chamber of the turbine. Frame motion is used to define the rotation of the blades inside the chamber and to create the resulting rotational flow around the blades. In fact, it is assumed that the area of water flow around the blades has a rotational motion relative to the blades; While the rotating blades have a rotational speed of zero relative to this rotating area.

Therefore, for the area related to water flow around the blades, the frame motion technique with a rotational speed of 158 rpm has been used, and for the blade walls, a moving wall boundary condition with a zero rotational speed ( The blade speed is used relative to the area in which it is located) is defined. The following figure shows a view of the Francis water turbine.


Francis Turbine Geometry & Mesh

The geometry is designed using Design Modeler software. In the design of the present model, two main parts have been considered, which include fixed walls that have fixed vanes with fixed angles, and moving walls that have rotating vanes. The following figure shows a view of the geometry.


The meshing of the model has been done using ANSYS Meshing software and the mesh type is unstructured. The element number is 4653160. Also, the quality of the mesh is considered finer in the areas close to the blades. The following figure shows the mesh.


Francis Water Turbine CFD Simulation

To simulate the present model, several assumptions are considered:

  • We perform a pressure-based solver.
  • The simulation is steady.
  • The gravity effect on the fluid is equal to -9.81 m.s-2 along the z-axis.

A summary of the defining steps of the problem and its solution is given in the following table:

Viscous modelk-epsilon
k-epsilon modelRNG
near-wall treatmentstandard wall function
Boundary conditions
InletMass flow inlet
mass flow rate1.996 kg.s-1
OutletPressure outlet
gauge pressure0 Pascal
Outer wallsWall
wall motionstationary wall
Inner blades
wall motionmoving wall
Solution Methods
Pressure-velocity coupling SIMPLE
Spatial discretizationpressurePRESTO
momentumsecond order upwind
turbulent kinetic energyfirst order upwind
turbulent dissipation ratefirst order upwind
Initialization method Standard
gauge pressure0 pascal
y-velocity0.5952913 m.s-1
x-velocity, y-velocity0 m.s-1


At the end of the solution process, two-dimensional and three-dimensional contours related to pressure, velocity, as well as path lines and velocity vectors are obtained. They are plotted in X-Z and Y-Z sections. Also, the pressure distribution contour on the wall surfaces is obtained.

All files, including Geometry, Mesh, Case & Data, are available in Simulation File. By the way, Training File presents how to solve the problem and extract all desired results.


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