1. Attachments are working again! Check out this thread for more details and to report any other bugs.

  1. NiMH

    NiMH New Member

    Joined:
    Dec 19, 2004
    15
    0
    0
    Location:
    Calgary
    I've been curious how significant the car's drag is at different speeds, so I calculated the power lost to drag at different speeds and also at different altitudes and temperatures. I've attached the plots in case anyone else is interested. The constants I used are:
    Coefficient of drag, published by Toyota = 0.26
    Frontal area (published for similar sized cars) = 1.9 sq. meters
    Density of air varies with temperature and altitude ~ 1 kg/cubic m

    Since the drag force is proportional to the square of velocity, and the work done to counteract that force is the force times the velocity, the power loss ends up proportional to the cube of the velocity. Now of course at a higher velocity the car covers proportionally more distance per unit time, so you can think of the effect on mileage as being down to a square-law relationship again.

    I plotted the power in horsepower since this is the most familiar unit for the engine power. I understand there are still a few nations that have not yet adopted the metric system, so for those readers from Liberia, Burma or the United States of America you can multiply the velocity scale by 5/8 to get mph.

    This agrees with some comments I saw from other posters:
    - drag really isn't too significant until you start to go above residential speed limits (but notice how brutal it becomes on the highway)
    - density change due to temperature really is significant (at high speeds)

    I also learned that humid air is less dense, so a hot humid day is a low drag day.
     
  2. DanMan32

    DanMan32 Senior Member

    Joined:
    Aug 27, 2004
    3,799
    27
    0
    Location:
    Tampa Bay, FL
    I thought I was getting better mileage on humid or foggy days.
     
  3. jtmhog

    jtmhog Member

    Joined:
    Jan 4, 2005
    151
    1
    0
    Vehicle:
    2006 Prius
    Vehicle drag is just one of many variables that effects mileage. For instance, how does the humid air effect combustion?
     
  4. rick57

    rick57 Member

    Joined:
    Feb 20, 2005
    572
    6
    0
    Location:
    Circleville, Ohio
    Vehicle:
    Other Non-Hybrid
    Model:
    N/A
    I always thought that a humid day would cause more drag,not less with the water vapor in the air. Just think if you could get the graph to slope upwards in a more straight line,the Bonneville Prius would have turned in a higher top speed :)
     
  5. rick57

    rick57 Member

    Joined:
    Feb 20, 2005
    572
    6
    0
    Location:
    Circleville, Ohio
    Vehicle:
    Other Non-Hybrid
    Model:
    N/A
    All I know is in NHRA Drag Racing,the Pro Stocks slow down in high humidity.
     
  6. drash

    drash Senior Member

    Joined:
    Jan 5, 2005
    2,502
    1,271
    0
    Location:
    Upstate NY
    Vehicle:
    Other Hybrid
    Model:
    N/A
    I'm guessing here and maybe rick can correct me, but I think the Atkinson engine might actually benefit from higher humidity as it adds a little more compression. Of course for the Drag Racers, don't they use more alcohol based fuels? They might separate more under high humidity causing incomplete burns. I really reaching here as this is way outside my line of work.
     
  7. NiMH

    NiMH New Member

    Joined:
    Dec 19, 2004
    15
    0
    0
    Location:
    Calgary
    For sure the humidity and temperature of the air have effects on the efficiency of the combustion engine, which is a whole separate topic from drag. Nonetheless, it's interesting and a bit counter-intuitive but water vapour is actually less dense than air. Fog, on the other hand is actually condensed water vapour and I would expect it to have the opposite effect.
     
  8. xevious

    xevious New Member

    Joined:
    Jan 19, 2004
    187
    2
    0
    Location:
    Oregon
    Wait... what's this... "metric" system?
     
  9. rick57

    rick57 Member

    Joined:
    Feb 20, 2005
    572
    6
    0
    Location:
    Circleville, Ohio
    Vehicle:
    Other Non-Hybrid
    Model:
    N/A
    I don't think any engine would like high humidity. As for the Atkinson cycle,by a reference in the 1st gen NCF it meantions that it does not generate high output but is highly Thermal Efficient. As for the racers,the Pro Stock class is based on production cars with a max of 500CID and run on high octane racing gas. There is no alcohol in it. But in the fuel classes,dragsters and funny cars,you will find some.
     
  10. DaveinOlyWA

    DaveinOlyWA 3rd Time was Solariffic!!

    Joined:
    Apr 13, 2004
    15,140
    611
    0
    Location:
    South Puget Sound, WA
    Vehicle:
    2013 Nissan LEAF
    Model:
    Persona
    actually high humidity would create a loss of power. water simply does not heat up very well. that is good for us because the abundance of water on this planet helps to regulate and moderate the extremes in climate this planet has to offer.

    the amount of energy required to heat water is one of the highest of any substance so it would be a detriment.
     
  11. rick57

    rick57 Member

    Joined:
    Feb 20, 2005
    572
    6
    0
    Location:
    Circleville, Ohio
    Vehicle:
    Other Non-Hybrid
    Model:
    N/A
    Water vapor is less dense then air? Hmm? I guess I will have to pay more attention to my weather man, :lol:
     
  12. DaveinOlyWA

    DaveinOlyWA 3rd Time was Solariffic!!

    Joined:
    Apr 13, 2004
    15,140
    611
    0
    Location:
    South Puget Sound, WA
    Vehicle:
    2013 Nissan LEAF
    Model:
    Persona
    from experiences of my life and this is all very unscientific, but i do remember noticing a large difference in the travel of a hit baseball during the high humid days of spring verses the low humidity days of summer and it seems that summer balls flew farther.

    of course it could also have to do with spring being early in the season and perhaps we just hadnt regained our swing yet from the winter layovers.
     
  13. 8AA

    8AA Active Member

    Joined:
    Feb 29, 2004
    550
    62
    0
    Location:
    Maryland
    Vehicle:
    2004 Prius
    I don't know about you guys, but I don't drive my car in just water vapor. Not only would the ICE not run, but I'd suffocate. While pure water vapor may be less dense than dry air, humid air is a mixture of dry air and water vapor. The more moisture in the air, the more dense it becomes.

    And what are these "hp" units doing on a metric chart? :)
     
  14. DaveinOlyWA

    DaveinOlyWA 3rd Time was Solariffic!!

    Joined:
    Apr 13, 2004
    15,140
    611
    0
    Location:
    South Puget Sound, WA
    Vehicle:
    2013 Nissan LEAF
    Model:
    Persona
    not always. for water to vaporize, it has to have a certain amount of kinetic or thermal energy. water turns to vapor when boiling because the molecules vibrate fast enough that they escape into the air. when vibrating fast like that, they push other molecules away from itself and also transfers the vibration to the air around it causing the molecules to spread out and thus lowering the density of the air.

    colder air has less vibration so the air molecules can pack closer together thus making the air denser.

    you also have to consider the dew point which is uses a different mechanism for controlling how much moisture is in the air when talking about colder air.
     
  15. DanMan32

    DanMan32 Senior Member

    Joined:
    Aug 27, 2004
    3,799
    27
    0
    Location:
    Tampa Bay, FL
    OK, empirical proof: When weatherman reports pressure dropping, take cover, storm's a brewin. The lower the pressure, the worse the hurricane, and the more moisture it has.

    Chemistry proof: There are the same number of molecules in a gas no matter what the chemistry of that molecule, under the same pressure and temperature. Molecularly, a mole of water vapor is lighter than a mole of oxygen, the latter being displaced by the former.
     
    KokomoKid likes this.
  16. 8AA

    8AA Active Member

    Joined:
    Feb 29, 2004
    550
    62
    0
    Location:
    Maryland
    Vehicle:
    2004 Prius
    Actually, gasses behave kind of unexpectedly. If you take a cubic foot of one gas, and a cubic foot of another gas and mix them together at the same pressure they started at, they won't occupy two cubic feet of space (unless they were the same gas).

    Moist air is more dense than dry air.
     
  17. jeepien

    jeepien Member

    Joined:
    Jan 9, 2005
    165
    4
    0
    Location:
    New Jersey
    Well, if you were right, I'd agree with you, but that's simply not true.

    A mole of gas at a given temperature and pressure will take up a given volume. That volume will vary according to the temperature and pressure, but it will be the same for all gases.

    So every mole of water vapor in a given atmospheric volume will displace one mole of air, presuming everything is in thermal equilibrium.

    In other words, the more water vapor there is in the air, the less air there is in the air. In a cubic meter of air under fixed conditions, there is a fixed number of particles, and if more of them are H[sub:15049eb32c]2[/sub:15049eb32c]O molecules, then fewer of them can be N[sub:15049eb32c]2[/sub:15049eb32c] or O[sub:15049eb32c]2[/sub:15049eb32c] molecules.

    None of this would matter if all the molecules had the same mass, but they don't. Water molecules are only 18 amu. Nitrogen and oxygen molecules are 28 and 32 amu respectively. Given the relative abundance of these two primary gases, and the trace amounts of others, the "average" dry air molecule works out to an effective mass of 29.

    Since 18 is less than 29, humid air is less dense than dry air at the same temperature and pressure. Sure there are some adjustments that have to be made to the "ideal" gas behavior, but none of them are anywhere near enough to overcome the fact that water vapor is a whopping 38% lighter than the air it displaces!

    This fact is well known to meteorologists, as a rudimentary Google search will reveal. I know it's counterintuitive, and you may find it hard to believe, but that is how things are in real life.

    As the ol' man always said, "There's a lot of truth in what actually happens."
     
    KokomoKid likes this.
  18. DaveinOlyWA

    DaveinOlyWA 3rd Time was Solariffic!!

    Joined:
    Apr 13, 2004
    15,140
    611
    0
    Location:
    South Puget Sound, WA
    Vehicle:
    2013 Nissan LEAF
    Model:
    Persona
    weight of gas
     
  19. DanMan32

    DanMan32 Senior Member

    Joined:
    Aug 27, 2004
    3,799
    27
    0
    Location:
    Tampa Bay, FL
    Thanks Gary.

    I couldn't believe I had to explain that to my JHS science teacher who not only was my science teacher, but a metorology buff. He forgot that water as a liquid would be more dense than water vapor and thus you can't compare weight of liquid water to air.

    But then, maybe he was just challenging me. He was a great teacher.
     
  20. hyo silver

    hyo silver Awaaaaay

    Joined:
    Mar 2, 2005
    15,232
    1,563
    0
    Location:
    off into the sunset
    Vehicle:
    2004 Prius
    Model:
    N/A
    Hey, NiMH. The drag info was interesting. What can you tell us about lift?