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03-20-2006, 08:28 AM
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#21
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Registered Member
Join Date: Feb 2006
Posts: 1,480
Country: United States
Location: Myrtle Beach, SC
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Re: Yes, rolling resistance
Quote:
Originally Posted by Matt Timion
Quote:
Originally Posted by krousdb
Calculating the effect of a DIRECT headwind or tailwind would be easy, just add/subtract the windspeed to the aero part only. Calculating winds at other directions than 0 degrees and 180 degrees involves the side area of the vehicle and is much more complicated to do, if at all.
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ACtually this is very easy to do as well. All that we would be doing is solving for an unknown side of a triangle, which is pretty simple trigonometry.
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OK, and how do you find the CD and area for the side of your vehicle? That data is not published, nor is it measured that I know of.
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03-20-2006, 08:30 AM
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#22
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Registered Member
Join Date: Dec 2005
Posts: 4,223
Country: United States
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Quote:ACtually this is very
Quote:
ACtually this is very easy to do as well. All that we would be doing is solving for an unknown side of a triangle, which is pretty simple trigonometry.
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i think what krousdb was getting at is crosswinds have additional effects beyond just figuring out the new apparent windspeed and adding it on to the vehicle speed. (calculating "apparent wind" using true wind and vehicle speed is common for sailing, using vectors.)
e.g. rolling resistance changes in a crosswind (but not in a tail/head/no wind). in a crosswind the tires scrub (you have to counter steer against the wind), and the amount of scrub depends on the particular aerodynamics of the vehicle (and the cross wind strength/direction)
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03-20-2006, 08:33 AM
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#23
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Registered Member
Join Date: Feb 2006
Posts: 1,480
Country: United States
Location: Myrtle Beach, SC
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Re: you're right krousdb. if
Quote:
Originally Posted by MetroMPG
you're right krousdb. if you remove aero drag from the picture (by setting column M values to zero), you can see HP Tires continues to increase with speed. my bad.
when i compared the two different formulas for rolling drag, you get these figures:
MPH - HP TIRES (orig. formula) - HP TIRES (diff. formula)
05 - 0.261422561 - 0.398304667
10 - 0.522845122 - 0.796609333
15 - 0.784267683 - 1.194914
20 - 1.045690244 - 1.593218667
25 - 1.307112805 - 1.991523333
30 - 1.568535366 - 2.389828
35 - 1.829957927 - 2.788132667
40 - 2.091380489 - 3.186437333
45 - 2.352803050 - 3.584742
50 - 2.614225611 - 3.983046667
55 - 2.875648172 - 4.381351333
60 - 3.137070733 - 4.779656
65 - 3.398493294 - 5.177960667
the difference is consistent: 52% more drag in the 2nd formula at all speeds. maybe it reflects the difference between LRR tires and non-LRR tires.
if you want, you can enter a column with the new formula in Row 2: =A2/375*(0.01184*B2 + 0.000353*B2)
(it applies only up to 65 mph. for some reason, rolling resistance as calculated in the second formula is set to increase above 66 mph. i'll see if i can find out more about it.)
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Perhaps the RR increases over 65 MPH to reflect additional downward force due to aero drag which manifests itself as additional weight?
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03-20-2006, 08:38 AM
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#24
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Registered Member
Join Date: Dec 2005
Posts: 4,223
Country: United States
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Re: you're right krousdb. if
Quote:
Originally Posted by krousdb
Perhaps the RR increases over 65 MPH to reflect additional downward force due to aero drag which manifests itself as additional weight?
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i thought of that too, but then i think i've heard that most non-racing cars produce lift, not downforce, at highway speeds. which would mean a *lessening* of rr from reduced apparent weight. i'll look into this and get back.
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03-20-2006, 08:58 AM
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#25
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Driving on E
Join Date: Sep 2005
Posts: 3,110
Country: United States
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Re: Yes, rolling resistance
Quote:
Originally Posted by krousdb
OK, and how do you find the CD and area for the side of your vehicle? That data is not published, nor is it measured that I know of.
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IN that case, it's not easy.
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03-20-2006, 09:07 AM
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#26
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Registered Member
Join Date: Jan 2006
Posts: 2,444
Country: United States
Location: Tiverton, RI
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side wind
Ignore the side forces of the wind and just deal with the cosine of the angle times the wind velocity which gives you the frontal effects vector.
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03-20-2006, 09:20 AM
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#27
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Driving on E
Join Date: Sep 2005
Posts: 3,110
Country: United States
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Re: side wind
Quote:
Originally Posted by JanGeo
Ignore the side forces of the wind and just deal with the cosine of the angle times the wind velocity which gives you the frontal effects vector.
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That's actually exactly what I was thinking. An angled wind will just produce less of a frontal wind. I'm thinking that maybe all that can be done is ignore the side wind forces as it is impossible to really calculate.
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03-20-2006, 09:57 AM
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#28
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Registered Member
Join Date: Feb 2006
Posts: 1,480
Country: United States
Location: Myrtle Beach, SC
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Re: side wind
Quote:
Originally Posted by Matt Timion
Quote:
Originally Posted by JanGeo
Ignore the side forces of the wind and just deal with the cosine of the angle times the wind velocity which gives you the frontal effects vector.
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That's actually exactly what I was thinking. An angled wind will just produce less of a frontal wind. I'm thinking that maybe all that can be done is ignore the side wind forces as it is impossible to really calculate.
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A physicist friend of mine has developed a calculator for Prius MPG. As it turns out, crosswinds cause more drag than headwinds:
http://privatenrg.com/Crosswinds.htm#Crosswinds
The 70/30 rule is also interesting.
http://privatenrg.com/index.htm#WindAssistScreen
See all of his Prius related info here:
http://privatenrg.com/
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03-20-2006, 10:06 AM
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#29
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Registered Member
Join Date: Jan 2006
Posts: 2,444
Country: United States
Location: Tiverton, RI
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CD
Actually I have heard that you can ignore the CD Drag Coeffient at lower speeds (under 100mph) as it is such a small portion of the rolling resistance and frontal area drag as to not matter much. Hard to say without testing further - maybe a few foam shapes held out the window of a moving car on a spring scale (a poor mans wind tunnel) will test the drag effects at various speeds.
Took the xB out for some highway miles yesterday after I gggggggassed it up OUCH! glad I pay after I pump because I didn't expect it to take $25 to fill it up yikes - really should have filled it last week for a few bucks less. Anyway I was on a long down hill and pushed the pedal down and the gps registered 86.3mph in just a few seconds from 60mph. On the tight on-ramp coming back I opened it up in third to about 5500 rpm and then hit 4th for a little more then dropped it into 5th as the cars behind me started getting smaller - man this box really moves out! Kills the mileage for the day however only about 43mpg. HA HA HA HA HA was getting used to the high 40's.
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03-20-2006, 10:46 AM
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#30
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Registered Member
Join Date: Dec 2005
Posts: 4,223
Country: United States
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Re: side wind
Quote:
Originally Posted by krousdb
A physicist friend of mine has developed a calculator for Prius MPG. As it turns out, crosswinds cause more drag than headwinds:
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this makes sense when you think about it. vehicles are not at all aerodynamically optimized to be travelling "sideways" through the wind.
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