File:Darrieus Rotor Principle animated.gif
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Darrieus_Rotor_Principle_animated.gif (334 × 359 pixels, file size: 36 KB, MIME type: image/gif, looped, 12 frames, 36 s)
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Summary[edit]
| Description |
English: Flow and forces at the blade of a Darrieus rotor. The two black arrows indicate the composition of the advecting flow (blue) from the constant headwind and the true wind, which is as seen by the blade steadily revolving. The en:Tip speed ratio is 4. The resulting aerodynamic force (red) is nearly perpendicular to the flow (the drag is omitted here). Its magnitude depends about quadratically on the flow velocity and linear on the angle of incidence. The green bar shows the component of the force in the direction of movement, the vertical line shows the range of variation of the radial force on the rotor bearing.
Deutsch: Strömung und Kräfte an einem Blatt eines Darrieus-Rotors. Die beiden schwarzen Pfeile zeigen, wie sich die Anströmung des Blattes (blau) zusammensetzt aus dem stets von vorne kommenden Fahrtwind und dem aus Sicht des Blattes ständig umlaufenden Wind. Die de:Schnelllaufzahl beträgt 4. Die resultierende Luftkraft (rot) steht nahezu senkrecht auf der Anströmung (der Luftwiderstand ist hier vernachlässigt, siehe de:Polardiagramm (Strömungslehre)). Ihr Betrag hängt etwa quadratisch von der Strömungsgeschwindigkeit und linear vom Anströmwinkel ab. Der grüne Balken zeigt die Kraftkomponente in Bewegungsrichtung, die vertikale Linie den Variationsbereich der radial auf das Lager des Rotors wirkenden Kraft. |
| Date | |
| Source | Own work |
| Author | Rainald62 |
| Other versions |
English: The animated SVG the GIF is based on is not accepted on upload because of its script code. The SVG code is listed below (with less coarse angle and time increments).
Deutsch: Die animierte SVG, auf der das GIF basiert, lässt sich wegen enthaltenem Script-Code nicht hochladen. Hier ist der Quelltext:
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns="http://www.w3.org/2000/svg"
xmlns:xlink="http://www.w3.org/1999/xlink"
viewBox="0 0 400 435" width="100%" height="100%"
onload="Init(evt)" version="1.1">
<title>Darrieus Rotor Principle, animated</title>
<desc>http://commons.wikimedia.org/wiki/File:Darrieus_Rotor_Principle_animated.gif</desc>
<defs>
<marker id="Arrow"
viewBox="0 0 5 4" refX="3" refY="2"
markerWidth="5" markerHeight="4"
orient="auto">
<path d="M1 2L0 0L5 2L0 4z" />
</marker>
<symbol id="NACA_0045"><path d="M100 50 C29 87 0 71 0 50S29 13 100 50"/></symbol>
</defs>
<script type="application/ecmascript"><![CDATA[
var angle = Math.PI*7/12;
var angle_increment = Math.PI/240; // PI/6 for the GIF
var timer_increment = 30; // 1200 ms for the GIF
var windDir, totSpeed, totForce, drvForce;
function Init(evt) {
windVect = evt.target.ownerDocument.getElementById("windVect");
totSpeed = evt.target.ownerDocument.getElementById("totSpeed");
totForce = evt.target.ownerDocument.getElementById("totForce");
drvForce = evt.target.ownerDocument.getElementById("drvForce");
Animate();
}
function Animate() {
angle = angle + angle_increment;
if (angle > 6)
angle = angle - 2*Math.PI;
var x = Math.cos(angle)*70+275;
var y = Math.sin(angle)*69;
var l = Math.sqrt(x*x+y*y)/100;
windVect.setAttribute("transform", "rotate(" + (90-angle*180/Math.PI) + ", 320, 320)");
totSpeed.setAttribute("d", "M 40 320 l " + x + " " + -y);
totForce.setAttribute("d", "M100 217 l " + -l*y*y/x + " " + (-l*y +4*y/Math.abs(y))); // last term corrects for arrow head
drvForce.setAttribute("d", "M100 " + (217-l*y) + " h " + (-l*y*y/x));
setTimeout("Animate()", timer_increment);
}
window.Animate = Animate
]]></script>
<g transform="translate(0 150) scale(4 1.33) "><use fill="silver" xlink:href="#NACA_0045" x="0" y="0" /></g>
<circle cx="320" cy="320" r="70" stroke="black" fill="none"/>
<path d="M40 320h275" stroke="black" stroke-width="3" marker-end="url(#Arrow)" />
<g id="windVect" transform="rotate(0, 320, 320)">
<path d="M320 320 v -65" stroke="black" stroke-width="3" marker-end="url(#Arrow)" />
</g>
<path id="totSpeed" d="M 40 320 l 275 -69" stroke="blue" stroke-width="3" marker-end="url(#Arrow)" />
<path d="M100 16 v 403" stroke="black" stroke-width="1" />
<path id="totForce" d="M100 217 l-49 -192" stroke="red" stroke-width="3" marker-end="url(#Arrow)" />
<path id="drvForce" d="M100 19 h-49" stroke="green" stroke-width="5" />
</svg>
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:15, 5 June 2011 | | 334 × 359 (36 KB) | Rainald62 (talk | contribs) | {{Information |Description ={{en|1=Flow and forces at the blade of a Darrieus rotor. The two black arrows indicate the composition of the advecting flow (blue) from the constant headwind and the true wind, which is as seen by the blade steadily revolvi |
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