Highest Compression Ratio for E85
What is the highest compression ratio that E85 is able to run at without undue harm? What are the chances that the automotive manufacturers will make a car that can only run on E85, and gain power by using a lighter engine of smaller displacement?
For use in my next posting
Adiabatic compression:
P1V1k=P2V2k
Gas Law:
P1V1÷T1=P2V2÷T2
Divide the first equation by the second:
T1V1(k-1)=T2V2(k-1)
Regroup temperatures and volumes:
T1÷T2=(V2÷V1)(k-1)
Move powers to other side:
(T1÷T2)1÷(k-1)=V2÷V1
I don't really like all this gamma or k stuff - the ratio of the specific heats, so let me simplify it.
Cv is the number of degrees of freedom in the gas, and Cp
is two more. So k=(dof+2)/dof and k-1=2/dof. So 1÷(k-1) = dof/2. Before
combustion air molecules don't reach the sort of temperatures needed to
make them vibrate, so the number of degrees of freedom is say 5 and
power is therefore 5/2.
Now if state 1 is autoignition and state 2 is the start of compression with ambient air let's write the equation again.
CR=(Tauto÷Tamb)5÷2
Alcohol being methanol or ethanol will run with quite rich mixture. This
rich mixture cools the charge by evaporative cooling so offsetting some
of the adiabatic temperature rise.
Also the engine may have less than 100%Ve and as you say, late intake valve/ball valve closing will reduce effective CR.
Heat
added from and lost to the block and head surfaces will also effect
charge temperature as in the early part of the cycle the charge will
gain heat, but at a point in the compression stroke it will start to
lose heat.
I have seen over 20:1 on methanol. I have never pushed ethanol to the verge of detonation.
I did an estimate the other day, which I won't put here as the
calculations aren't handy, but from memory, at 9:1 air fuel ratio,
ethanol evaporating could take about 130 kelvin out of the air. That
sounds a lot. Can it be right? And similar calculations (so similar
mistakes if wrong) gave iso-octane removing about 30 kelvin.
The autoignition temperatures I had were 630K for ethanol and 690K for isooctane.
octane 690+30=720
ethanol 630+130=760
So
air that might reach 760 due to compression (in the absence of fuel)
could reach 630 due to ethanol evaporation (a drop of 130) and just
start to autoignite.
What I am saying is at stoichiometric AFRs
ethanol looks like at could support significantly higher compression
ratios than isooctane due to the large amounts of evaporative cooling.
If
you look at the enthalpy of vaporization of ethanol (around 40 kJ/mol
but varies depending on source in the literature!) and that of octane,
the numbers are broadly similar. But the figures per molecule only tell
part of the story, as an ethanol molecule has two carbons and octane has
eight. With that in mind, it comes as no surprise then that evaporating
the ethanol required for combustion drops the temperature about 4 times
as much as evaporating octane.
(You have to evaporate about four times as many ethanol molecules.)
So
if the temperature drops are as much as I estimated the other night,
130 kelvin (ethanol) and 30 kelvin (octane), it would explain why low
autoignition temperature ethanol can have a higher compression ratio
than high autoignition temperature isooctane.
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