Wind Engineering

Turbine-Specific Wake Deficit Depth Estimator for Complex Terrain Flow Separation Calculator

Turbine-Specific Wake Deficit Depth Estimator for Complex Terrain Flow Separation engineering calculator.

Quick Answer

The turbine-specific wake deficit depth estimator for complex terrain flow separation calculator computes wake deficit depth from the input values you provide.

Calculator

Wake Deficit Depth (m)
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Result Interpretation

Turbine-Specific Wake Deficit Depth Estimator for Complex Terrain Flow Separation Calculator computes Wake Deficit Depth in m using the defined engineering formula and the input values provided. Wake Deficit Depth is expressed in m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Turbine Thrust Coefficient = 0.8
  • Rotor Diameter = 120
  • Downwind Distance from Turbine = 500
  • reference_roughness = 0.03
  • Terrain Slope Angle = 0.174533
  • Terrain Roughness Length = 0.5

Expected Result:

  • Wake Deficit Depth = 8.6458717138487

Engineering Interpretation:

Under the given input conditions, the calculated result is: Wake Deficit Depth = 8.6458717138487 m.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

wake deficit depth = (0.15 * rotor diameter * sqrt(1 - turbine thrust coefficient) * pow(terrain roughness length / 0.03, 0.12)) * exp(-0.08 * downwind distance from turbine / rotor diameter) * (1 + 0.4 * abs(sin(terrain slope angle)))

Wake Deficit Depth.

Variables

SymbolLabelRoleDescription
rotor_diameter Rotor Diameter INPUT Rotor Diameter
ct Turbine Thrust Coefficient INPUT Turbine Thrust Coefficient
terrain_roughness_length Terrain Roughness Length INPUT Terrain Roughness Length
downwind_distance Downwind Distance from Turbine INPUT Downwind Distance from Turbine
terrain_slope_angle Terrain Slope Angle INPUT Terrain Slope Angle
wake_deficit_depth Wake Deficit Depth OUTPUT Wake Deficit Depth
reference_roughness reference_roughness CONSTANT reference_roughness = 0.03 m

Calculation Steps

  1. Enter the rotor diameter in m.
  2. Enter the turbine thrust coefficient in dimensionless.
  3. Enter the terrain roughness length in m.
  4. Enter the downwind distance from turbine in m.
  5. Enter the terrain slope angle in rad.
  6. Step 1: Compute wake deficit depth.
  7. Read the wake deficit depth (m) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Turbine-Specific Wake Deficit Depth Estimator for Complex Terrain Flow Separation Calculator estimates Wake Deficit Depth based on the input parameters you provide

Why is rotor diameter important in this calculation?

rotor diameter is used directly in the calculation of wake deficit depth. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter rotor diameter in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result wake deficit depth?

The calculator outputs wake deficit depth in m. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Rotor Diameter (m), Turbine Thrust Coefficient (dimensionless), Terrain Roughness Length (m), Downwind Distance from Turbine (m), Terrain Slope Angle (rad). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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