Can wind be faster than no wind? rruff and others

Wanted to move this into its own thread, it is pretty interesting and this may go on a while.

Anyway the basic question is, can an out and back, or loop TT be faster with wind in some cases than with no wind at all. As we know from various wind tunnel results, drag can be a good deal less at medium and high yaw than at zero yaw.

But any wind will also mean more apparent wind speed when riding, at least some of the time.

So can you be net faster? I mentioned that we seemed to notice faster times at one of our local TTs that used to occur monthly in Austin when there was moderate wind at certain directions. So here is are the results from best bike split I ran on that course:

Out and Back
8.09 miles
250 watts normalized power limiter

cda - yaw
0 - .21
5 - .2082
10 - .1972
15 - .1948
20 - .1875

0mph wind
time 18:56

5mph wind 180 degrees 18:52

8mph wind 180 degrees: 18:46

http://www.slip-angle.com/bbs-crosswind.png

Of course bestbikesplit’s physics could be wrong, the CdA vs yaw numbers could be unrealistic. But I believe analytic cycling’s dynamic wind page will get you similar results if you set it up using their wheel drag vs yaw inputs. I haven’t done it in a while because it is cumbersome to set it up.

Discus!

Just to check if this was merely due to getting cross-tailwinds on the uphill sections, I checked some other wind angles:

45 degrees is a little faster too, which is direct crosswind on the uphill bit.

The hills do appear to play a role though, I’m going to try with a flat course.

So can you be net faster?


But of course. Ask any sailor if you can be faster with wind.

We’ve known for at least 30 years that you can sail a bike.

Ok state TT course, which was pretty close to pancake flat

0mph wind: 56:18
270 deg wind at 8mph: 55:44

http://www.slip-angle.com/bbs-crosswind2.png
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As we know from various wind tunnel results, drag can be a good deal less at medium and high yaw than at zero yaw.

Define how those CdA vs yaw numbers were derived… and also define how they are being used to determine drag force in modeling programs.

For instance, when they yaw the table 10deg they don’t increase the tunnel speed to simulate a crosswind… they leave that the same. The apparent rider speed actually drops in that case. When you are riding on the road and you have a crosswind, the wind hitting your body is greater than when there is no wind.

So is the CdA value based on the tunnel speed and measured in-line drag force, or do they calculate the apparent rider speed and base it on that? I’m guessing they don’t do any calculation, which is why the dropoff in CdA with yaw is so large.

I do believe that many people can experience a slight benefit from a pure crosswind, but it’s a lot less than those tunnel numbers would indicate.

out & back
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Good question, I was just using the default CdA vs yaw values that BBS picks for you once you enter a 0 degree CdA value.

So just now I referred to the thread where Damon Rinard indicated how to correct for drag force at yaw as measured in the tunnel, and used data from the Zabriskie-dummy on a P4

If I am doing this right (damon can maybe check me?) then the cda reduction at yaw in my test cases was less pronounced than zabriskie on a p4. It seems like the adjustment is so small you can mostly ignore it, even.

edit: (the cda conversion there is just approximated using the 50g drag = .005 CdA rule of thumb)

http://www.slip-angle.com/cdavsyaw.png

As we know from various wind tunnel results, drag can be a good deal less at medium and high yaw than at zero yaw.

Define how those CdA vs yaw numbers were derived… and also define how they are being used to determine drag force in modeling programs.

For instance, when they yaw the table 10deg they don’t increase the tunnel speed to simulate a crosswind… they leave that the same. The apparent rider speed actually drops in that case. When you are riding on the road and you have a crosswind, the wind hitting your body is greater than when there is no wind.

So is the CdA value based on the tunnel speed and measured in-line drag force, or do they calculate the apparent rider speed and base it on that? I’m guessing they don’t do any calculation, which is why the dropoff in CdA with yaw is so large.

I do believe that many people can experience a slight benefit from a pure crosswind, but it’s a lot less than those tunnel numbers would indicate.

On an out and back, a 90 degree cross-wind is clearly faster than no wind, at least theoretically. In my experience it’s pretty hard to replicate this on an outdoor course, though, because outdoor courses tend to have turns and also it’s rare that the wind is aligned correctly, so you usually end up with a headwind/tailwind situation which counteracts the effect. I did experience it once for sure, though. My CdA measured out at around 0.015 less than usual on a (fairly) straight out and back with a strong crosswind.

Both Cd and A vary with the yaw vector, so these CdA figures are perplexing.

Discus!

http://www.robbinssports.com/images/SH-T110-Gold-Discus.jpg
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nice
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Both Cd and A vary with the yaw vector, so these CdA figures are perplexing.

Why are they perplexing because of that?

Let me see…

Tunnel speed = Vw
Yaw angle = a
Rider eq. speed = Vr

Vr = ^.5

But since the drag is proportional to V^2, the correction factor for CdA if the tunnel speed is used would be: Vw^2 / or …1/(1-(sin(a))^2)

Yaw, CdA correction

0,1
5, 1.0077 (.77%)
10, 1.0311 (3.11%)
15, 1.0718 (7.18%)
20, 1.1325 (13.25%)

So going back to your listed CdA vs yaw numbers:

cda - yaw (corrected CdA)
0 - .21
5 - .2082 (.2098)
10 - .1972 (.2033)
15 - .1948 (.2088)
20 - .1875 (.2123)

Using that correction for the Zabriskie/P4 drag numbers we get:

0.225
0.211607396
0.206218241
0.200961894
0.192520636

decrease of .0325

vs the values I used in BBS decrease of .0225

So sounds like the yaw/cda inputs for BBS need to be corrected values, if using wind tunnel data as an input, or you will get optimistic results. Since if it were doing the correction for us, my simulations wouldn’t have been faster with wind.

Ah this makes sense. We used wind tunnel data recently with overly optimistic results (though only about a 20 sec difference over a 70.3), but that was primarily at low yaw angles.

Added complication:
Could there be a substantive increase in CRR at higher yaw?

You got the Zabriskie data from this chart… but where did you get the other numbers you listed above?

http://www.slowtwitch.com/images/test2.jpg

The initial yaw/cda numbers were the default estimates from bestbikesplit. You enter in a 0 yaw CdA and it estimates the at yaw numbers.

You got the Zabriskie data from this chart… but where did you get the other numbers you listed above?

http://www.slowtwitch.com/images/test2.jpg

Fine. Now I’m going to have two TT bikes, one for low yaw, the other for high yaw. Thanks dude.

Absolutely.

Let’s say you did a straight North-South TT. And the wind was directly from the East or West. So you saw the exact same apparent wind in both directions, meaning, assuming a roughly flat course - so that your speed is the same - then the yaw angles should be the same.

In that case, you’d obviously be faster with wind than without.

How much that changes as it becomes less of straightforward case of course, “depends.”