Page History

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• Conservation of Mass:
  
• Navier-Stokes equations, simplified for constant angular velocity, in a moving frame of reference:
  
  where:
   and 

FLUENT will solve this in a moving frame of reference. This is a good simplification, because with it we don't have to deal with moving mesh. (yet! Keep checking for future tutorials on that!)

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To solve in FLUENT we'll need to create a region much a few times larger than the main geometry of the turbine to be the region affected by . This region is where the presence of itthe turbine disturbs the flow. This can be seen as the outer circle from the following figure. Note that we could have made any geometry for this "far-field" zone, but for symmetry to simplify the boundaries a circle was chosen. 

The boundary conditions are:

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FLUENT will follow the Finite-Volume Method and will divide the domain into multiple control volumes or "cells".
From the integral form of the governing equations, it will perform a control volume balance for each each cell and write algebric nonlinear equations for them, and then linearize these equations..
Next, it will solve iteratively this these equations and stop the iteration when the Residuals are below a certain specified tolerance.

Velocity, pressure, angular velocity and turbulence parameter k are calculated in the cell centers, after inverting the matrix of the system of algebric equations in of cell-center values.
With these values, the post-process tool will derive everything else that we might want, like wall shear, etc.

Hand-Calculations of Expected Results

Calculate Cp? need first to see if its possible to calculate that. Maybe from the torque....

We expect large vortices downstream the turbine?

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