Nicko wrote:
Tom A. wrote:
I'm not following. Isn't part of that "torque to spin" being used to overcome the tire rolling resistance? Eliminating that would require a hub motor, no?
Ahh, I get the ambiguous phrasing now, and how that messes with the discussion. The "power/torque to spin" the wheel in the tunnel, on the load cell platform is
not of interest here. That "drive power" is
only there to make the wheel spin at the exact rotational speed to match the air stream velocity.
No, the property of interest is the aero drag vector location, direction and magnitude of the spinning wheel. This is measured by the 6-axis load cell (via a transformation matrix), but only if the wheel is by itself in the tunnel.
Now do a basic free body torque equilibrium study of the wheel
as it pivots around the contact patch. This is where most folks get confused, me thinks... The wheel does NOT rotate around the hub axle, it rotates around the contact patch/point. Anyone wants to argue different should think about it until they get it...
Anyway, the torque equilibrium equation gives you the required horizontal force at the hub, which is
1. what is resisting forward motion
2. NOT equal to the
measured horizontal force at the hub by the x-component of the load cell.
OK...I see what you're saying...however, in that torque equilibrium, how are you handling the roller force at the contact patch? A single force through the contact patch (and thus not contributing a torque)?
If the wheel is stationary, then the resultant force is through the center of the contact patch...BUT, if the wheel is
rolling (being driven by the drum), then the resultant force is offset from the center and contributes a "retarding" torque due to the hysteretic losses in the tire and tube in the contact patch. In fact, that's basically what "rolling resistance" is...a retarding torque due to unequal resultant forces in the leading and trailing halves of the contact patch.
If that's not taken into account in the analysis you describe, then yes, the tire Crr is being included in the result.
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