Re: Qualy times adjusted for fuel load
"Dave Baker" <Null@null . com > wrote in message
news:fv72j9$l03$1@news.datemas.de...
>
> "peter" <scoular@blackhole.do-not-spam.me.uk> wrote in message
> news:8LsG8RBErvFIFwkc@ntlworld . com ...
>> Brian Lawrence <Brian_W_LawrenceREMTHIS@msn . com > writes
>>>"Dave Baker" <Null@null . com > wrote:
>>>> A bit of a surprise. Full race speed consumption in Spain was 2.4kg to
>>>> 2.6kg
>>>per lap. Behind the safety car it was 1.4kg/lap. Just over half.
>>
>>>The 2.2 kg per lap figure is I believe the FIA figure used for fuel
>>>credit
>>>last year (or possibly 2006). It was agreed pre-race by the FIA and all
>>>teams.
>>>It's probably an average/compromise figure - some engines may be more
>>>fuelefficient while others may be less.
>>>
>> I have to say that it doesn't seem much of a fuel saving...cruising
>> behind the safety car at half race speed with a fuel saving map, compared
>> to blatting round at full throttle and then full braking at multiple
>> points on the track. I would have thought 1 safety car lap would be more
>> likely be equal to 3 race laps.
>
> I agree and it doesn't quite square with my own calculations. I'll take it
> back up again and see if I can get a better explanation. I could live with
> a figure of about 40% after seeing how quick the safety car is but close
> to 60% doesn't make much sense yet.
OK no need to take it back up again, I've spotted the problem. It lies in
the way we think about fuel consumption as being dependent on throttle
position, or the percentage of an engine's power that's being used, and how
that translates into fuel use per unit time and fuel use per unit distance.
In terms of fuel use per unit time there is indeed a direct relationship
between power output and consumption. In fact a test engine's consumption is
usually rated as lbs per horsepower per hour. However we tend to think about
cars in terms of mpg, or litres per 100km if you're one of those funny
foreign chaps. When you drive fast you burn more fuel per unit time but you
also cover more distance in that time so the effect on mpg is not as direct
as the effect on lbs per hour. To go twice as fast takes eight times as much
power, therefore eight times as much fuel per hour but you cover twice the
miles in that hour so the relationship between power usage and mpg is a
square law not a cube one.
Back to the F1 cars. The safety car accelerates at about 1/3 the rate of the
F1 cars off the line and my calculations indicate they'd need about 40%
throttle to keep up at higher speeds. Call that an average of somewhere
between the two, say 37%. So you'd expect the SC fuel consumption per hour
to be a similar percentage of the race speed fuel usage per hour but when
you turn that into consumption per lap you need to allow for how much longer
it's actually taking to do that lap. In this case the SC laps were at about
131 to 134 seconds and the race laps about 82 to 84. So you need to multiply
37% by about 133/83 to get a final figure of 59% of the race speed
consumption.
That's near as dammit is to swearing what 1.4 kg/lap / 2.4 kg/lap comes to -
58%
So the F1 cars are indeed only using about 1/3 or a tad more of their
potential to keep up with the SC but the mistake in initially assuming that
also meant 1/3 the fuel use per lap was mine, and a very silly one. The 60%
increase in lap times is one of the biggest factors in the whole equation.
Irritating as I've covered this sort of thing often enough in the past and
there's even a chart of how power requirement and mpg varies at different
speeds for an average car on my website in the Topspeed article.
--
Dave Baker
Puma Race Engines