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Drag HP vs mph

Discussion in 'Prime Main Forum (2017-2022)' started by bwilson4web, Mar 18, 2017.

  1. Gen 3 for me

    Gen 3 for me Member

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    Although I would never expect that anyone would do this, (just thinking aerodynamics here), there is a way to make a Prime have lower drag then a Prius ECO. Replace the Primes: hood, front fascia and fenders with those from a 4th generation Prius (non-Prime).

    From what I think I read the shape of the double bubble glass and perhaps the greater length in back of the Prime is to make up for the weaker aerodynamic Prime front end. I suppose the Prime got the more agressive styled front end for marketing reasons, and perhaps because Primes were expected to on average be driven at lower speeds, shorter distances, than the non-Prime Prius because the Prime really shines while driven in EV mode.
     
  2. EV-ish

    EV-ish Active Member

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    This EPA data most interests me in finding out whether my guess that an EV can be simplified down to mass, tyre rolling resistance, frontal area and Cd is reasonable.
     
  3. EV-ish

    EV-ish Active Member

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    Here is the CSV data without quotation marks. It should import cleanly into Google Docs
     

    Attached Files:

  4. Lee Jay

    Lee Jay Senior Member

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    That's how I simulate them.
     
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  5. EV-ish

    EV-ish Active Member

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    Did you compare to the roll-down data ?
     
  6. Lee Jay

    Lee Jay Senior Member

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    I compared using the roll-down data (which includes an odd, linear term) to zeroing the linear term and fitting the same curve using only the constant and quadratic terms. Virtually the same.
     
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  7. EV-ish

    EV-ish Active Member

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    I'd like to compare the roll-down data to the simple drag equation of tyres and air mentioned above.
     
  8. Lee Jay

    Lee Jay Senior Member

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    Tires is the constant term, air is the quadratic term. In other words, remove the linear term.

    The resulting terms matched the roll-down data well, but they don't match what I'd expect for rolling friction or CdA.
     
  9. EV-ish

    EV-ish Active Member

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    I may not be following, but I'm asking if
    Coef B = tyre RR * mass
    Coef C = Cd*frontal area

    The Coef A term strikes me as a fudge factor to make the algebra work but I don't know that with any confidence
     
  10. bwilson4web

    bwilson4web BMW i3 and Model 3

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    I would suggest not trying to overthink the problem. In differential equations I learned there are families of equations that within the range limits are perfectly accurate. In the case of roll down coefficients and the quadratic equation, it avoids having to add a lubricant stirring drag coefficient for the differential and transmission.

    Bob Wilson
     
  11. EV-ish

    EV-ish Active Member

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    I can assure you, I am not capable of over thinking ;-)
    Under thinking is no problem

    So,
    is the drag equation
    RR*mass + v*v*Cd*frontal_area

    a good substitute instead of using the roll-down data for EVs ?
     
    #31 EV-ish, Mar 19, 2017
    Last edited: Mar 19, 2017
  12. Lee Jay

    Lee Jay Senior Member

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    drag force = RR_coef*mass + 1/2*air_density*v^2*Cd*frontal_area
     
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  13. EV-ish

    EV-ish Active Member

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    Thanks for the correction
     
  14. giora

    giora Senior Member

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    I thought the coefficients are submitted to EPA by the manufacturers, If this is the case, why ignoring part of them?
     
  15. bwilson4web

    bwilson4web BMW i3 and Model 3

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    The coefficients and roll-down tests are required by the EPA and sometimes are brought by manufacturers and other times by the EPA spot checking. The earlier Hyundai fines came from owner complaints and the EPA running their own tests. This revealed Hyundai had 'misinterpreted' the regs like VW's interpretation of diesel emissions testing . . . Pass the test and otherwise turn off emissions hardware and control laws.

    Bob Wilson
     
    #35 bwilson4web, Mar 19, 2017
    Last edited: Mar 19, 2017
  16. Lee Jay

    Lee Jay Senior Member

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    If I can find a physical reason for the linear term, I'll include it. But it doesn't seem to be necessary since I can form basically the same curve without it.

    upload_2017-3-19_13-33-6.png
     
  17. giora

    giora Senior Member

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    Which indicates that the linear coef. contribution is very low - may be transmission load in EV drive?
     
  18. Prime8

    Prime8 Member

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    I successfully reduced the drag on my Prime by setting the following distance on the dynamic cruise to 1 bar, and the speed to 80mph while following 2 megabus's doing 77mph. 85 miles later, at an average cruise speed of 77mph, I had 59mpg in hybrid mode. I was getting about 57mpg on my own at 67mph prior to their arrival. So the simple solution is to buy a megabus and hire a driver to drive it ahead of your Prime.
     
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  19. Tideland2005

    Tideland2005 Member

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    My less "thinky" method :

    use 60-30 coast down to consider the squared variable (aero drag)
    30-0 coast down to consider the linear variable (rolling friction)

    hardly precise, but gives some rough idea

    Cheers, Folks
     
  20. GT4Prius

    GT4Prius Active Member

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    Wow I love the tech math talk even though I seriously don't understand it!

    Lowering the intellectual kennel somewhat, I have ordered the "Protection Pack" which includes what we call "mud flaps". Does that translate into U.S.? If so, will these be likely to affect the aerodynamics much?

    It is v muddy round here with our weather and farmers tractors on the road so I reckon the mud flaps are worth having to keep the Car looking cleaner. The (black) Gen2 after I wash it only has to look at a road to be dirty again behind the front wheels and along the sills (fenders?) below the front doors.

    Posted via the PriusChat mobile app.
     
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