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* ENH: Implement correct parametrization of the dimensionless radii bounds * CLN, TST: Remove old tests from previous version * ENH, TST: Include force and torque coefficient calculation * TST: Update test outcome values based on realistic J values * DOC, CLN: Clean up and update documentation
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# pybem | ||
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[![License: GPL v3](https://img.shields.io/badge/License-GPLv3-blue.svg)](https://www.gnu.org/licenses/gpl-3.0) [![Build Status](https://travis-ci.org/KikeM/pybem.svg?branch=master)](https://travis-ci.org/KikeM/pybem) | ||
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Blade Element Method implementation for propeller calculations. | ||
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## Iteration process | ||
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![Robust Iteration steps](robust_iteration.png) | ||
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## Quickstart | ||
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```python | ||
import matplotlib.pyplot as plt | ||
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import numpy as np | ||
from pybem import BladeElementMethod | ||
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bem = BladeElementMethod() | ||
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# Quick polar | ||
# ----------------------------- | ||
def cl(alpha): | ||
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from math import pi | ||
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return 2*pi*(alpha) | ||
## Installation | ||
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def cd(cl): | ||
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return 0.012 + 0.05 * cl**2 | ||
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alpha = np.linspace(-40, 40, 50) | ||
alpha_r = np.deg2rad(alpha) | ||
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cl_alpha = cl(alpha_r) | ||
cd_polar = cd(cl_alpha) | ||
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# ------------------------------- | ||
To run it as a user, simply invoke `pip`: | ||
```bash | ||
pip install . | ||
``` | ||
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# Lenghts | ||
D = 0.152 * 2 # meters | ||
r_tip = D / 2.0 | ||
r_hub = r_tip * 0.15 | ||
### For developers | ||
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# Propeller | ||
# --------------------------------- | ||
r = np.linspace(r_hub, r_tip) | ||
beta = np.linspace(80, 50) | ||
chord = 0.2 * r | ||
# --------------------------------- | ||
If you want to contribute to the library, or tweak it to your own needs, install it in developer mode, including the development libraries: | ||
```bash | ||
pip install -e . --requirement requirements-dev.txt | ||
``` | ||
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# Load airfoil | ||
bem.load_airfoil(alpha, cl_alpha, cd_polar) | ||
## Quickstart | ||
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# Load advance ratio | ||
J = 1 | ||
bem.load_similarity(J = J) | ||
Running the code consists of easy and uncoupled steps: | ||
1. Declare the airfoil sections with their corresponding geometrical definition. | ||
1. Create a propeller by putting together the sections and the number of blades. | ||
1. Create a solver by putting together the propeller and a advance ratio. | ||
1. Solve the flow. | ||
1. Compute the force and torque coefficients. | ||
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prop = bem.load_propeller(dist_r=r, dist_beta=beta, dist_chord = chord, n_blades = 4) | ||
bem.set_tip_loss(True) | ||
Here is an example with an airfoil defined by an analytical lift and drag polars. | ||
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# Test! | ||
_r = r[25] / D | ||
phi0 = np.arctan(J/_r) | ||
phi0 = np.rad2deg(phi0) | ||
phi = bem.compute_inflow_angle(_r, phi0) | ||
``` | ||
```python | ||
from pybem.models import Propeller, Section, BaseAirfoil | ||
from pybem.bem import BladeElementMethod | ||
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# Define known sections | ||
sections = [ | ||
Section( | ||
name="Hub", | ||
r=0.3, | ||
beta=60, | ||
chord=0.4, | ||
airfoil=BaseAirfoil(cl_coeff=1.0, cd_coeff=1e-2), | ||
), | ||
Section( | ||
name="Middle", | ||
r=0.6, | ||
beta=45, | ||
chord=0.35, | ||
airfoil=BaseAirfoil(cl_coeff=0.85, cd_coeff=1e-3), | ||
), | ||
Section( | ||
name="Tip", | ||
r=1.2, | ||
beta=30, | ||
chord=0.2, | ||
airfoil=BaseAirfoil(cl_coeff=0.5, cd_coeff=1e-3), | ||
), | ||
] | ||
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# Define propeller | ||
B = 6 | ||
propeller = Propeller(B=B, sections=sections) | ||
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# Define flow conditions and BEM method | ||
J = 0.2 | ||
bem = BladeElementMethod(J=J, propeller=propeller, tip_loss=False, hub_loss=False) | ||
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# Solve | ||
bem.solve() | ||
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# Compute forces | ||
CT, CQ = bem.integrate_forces() | ||
``` |
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