Page History

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• Inlet (far-field): constant velocity in the x-direction of 10m/s, with turbulent intensity of 5% and turbulent viscosity ratio of 1.
• Outlet (far-field): absolute pressure of 101325 Pa, or 1 atm, with same turbulent parameters as above. 
• Blades: wall, so no velocity. (No-slip condition).

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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 cell and write algebric nonlinear algebraic equations for them, and then linearize these equations..
Next, it will solve iteratively 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 algebraic equations of cell-center values.
With these values, in the post-process tool step, we will derive everything else that we might want, like wall shear, velocity field, etc.

Hand-Calculations of Expected Results

Power coefficient (Cp)

Calculate Cp? need first to see if its possible to calculate that. Maybe from the torque.... from the Ct=T/(1/2*rho*v^2*A*R) and Cp=lambda*Ct ....???

Tip Speed Ratio (TSR)

The expression for TSR is: 

 : need velocity lambda = velocity at the blade/wind velocityThe velocity at the blade can be calculated from

\begin{equation*}
v=\displaystyle \lambda = \frac{\textrm{Velocity at the blade tip}}{\textrm{Incoming wind velocity}} = \frac{r \times \omega_{}}{U}
\end{equation*}

Using r as the distance from the center to the mid of a blade: r=0.04m.

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Therefore, the expected velocity at the center of the blades is 0.1676m/s and therefore the TSR is 0.01676.

We expect large vortices downstream the turbine?

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