It would seem that if a greater quantity of fuel and air gas mixture is 
induced, compressed and exploded during the power stroke of the engine, a 
greater horse power output can be expected. However, there is a considerable 
amount of "inert gas" induced with this explosive mixture. Although this inert 
gas plays a very small part in pushing the piston other than by thermal 
expansion.
What effect could be expected,  if we could somehow reduce some of this "inert 
gas" from the induced explosive mixture?
There are various methods of gas separation that could be considered.The most 
promising would be  RHVT Which has hardly any moving parts which imposes high 
centrifugal forces upon gasses separating them by weight differential.Here 
there might be a bonus as one of the separated gasses will be cooled.

GF




-----Original Message-----
From: Daniel Chisholm <[email protected]>
To: Discussion of biomass pyrolysis and gasification 
<[email protected]>
Sent: Thu, Mar 3, 2011 7:33 am
Subject: Re: [Gasification] Benefits of boosting compression ratio


First the answer, then a long-winded explanation if you care for it...
 



Then change the pressure to 5 psig (say ~19 psia) with the same parameters and 
calculate the mass of oxygen.  Do the masses come out with the ratio of 9.8/19 
or about 1/2 for my comparison between natural aspirated and (5 psig) low 
pressure?





Yes.
 



  If so, then there is twice the oxygen mass in a 5 psig pressure going into 
the engine, as compared to 20 in hg (9.8 psia).





Yes.


And you could therefore burn twice as much fuel, and therefore produce twice as 
much gross horsepower.  ("gross horsepower" means how much power your pistons 
are extracting from the gas; most of this will make it to the crankshaft output 
but some will be lost to sliding friction and pumping losses)


Although your net horsepower output at the crank won't be exactly twice as much 
(it'll probably be a little bit better than that), it's a very good starting 
point to make the approximation that it is.


Bottom line: power output is proportional to (absolute) manifold pressure.







 
Change the temperature to 95C for both.  Is it the same?





Yes.


You get twice as much air mass flow at 19.7psia as you do at 9.8psia.


You didn't ask this but since you probably know that your engine will make less 
horsepower with 95C inlet air temperature than with 15C air temperature I'll 
ask and answer a question here:


How much power does an engine make at 95C inlet air temperature versus at 15C 
inlet air temperature?


The first thing to do is to convert these into absolute temperatures,  15C is 
288 Kelvin (15+273), and 95C is 368 Kelvin.


Your engine's displacement is unchanged by the inlet air temperature.  But the 
density of the air that it moves is changed, in inverse proportion to the 
(absolute) temperature ratio:


288/368 = 0.78


So when your inlet air temp is 95C (368K), your engine will make 78% of the 
power it makes when your inlet air temp is 15C (288K).


This is because it is only flowing 78% as much air (mass-wise), therefore it is 
only able to burn 78% as much fuel, and therefore there is only 78% as much 
energy available to be extracted.







 
I'm sorry to ask, but as I read the ideal gas law equasions, my eyes glass over 
and confusion sets in.





You'll notice that I never did plug any numbers into "PV=nRT" (or P = rho*R*T) 
in any of the above.


A great deal of useful insight can be had from looking at the form of the 
equations, from this you can get useful relationships like


- If temperature is constant, density is proportional to pressure (I used that 
in the first part)
- For any particular pressure, density changes inversely proportional to 
temperature (that's what I used in the second part)




Now to the first part of your email and longer-winded bit..


On Wed, Mar 2, 2011 at 14:11, Toby Seiler <[email protected]> wrote:



Mark, Daniel C., list,
 
OK I admit that I'm lost when I get to "mole" in the ideal gas law.  (A mole is 
a furry creature my dog brings up on the porch to chew up.)
 
So please help me in another way if you understand the physics.  First assume I 
use a 460 cubic inch engine and have a 10/1 compression ratio.  In total then 
all cylinders compress the gas/air to an area of 46 cubic inches...easy enough. 
 At 12/1 it is compressed to 38.3.





There's a small error there which I'll point out for completeness.


(firstly good for you for choosing a big-block in your example, even if I would 
have used 440 or 426 cubic inches in my 'fer-instance! :-)


Your pistons *displace* 460 cubic inches, that is when they move from BDC to 
TDC they have pushed through 460 cubic inches of volume.


At TDC the gas will be in the combustion chamber volume.  At BDC the gas will 
occupy this volume *PLUS* 460 cubic inches.


So we're naturally into algebra (sorry! ;-)


CR = Vol_BDC / Volume_TDC
CR= (displacement + CombChmbr_volume) / (CombChmbr_volume)


After a bit of algebra we get:


CombChmbrvolume = displacement/(CR-1)


For displacement=460 in^3 and and CR=10 we get CombChmbr_volume = 460/9 in^3 or 
51.1 in3


What is happening is that we start with 511.1 in^3 of gas, which we then 
compress by 460 in^3 down to 51.1 in^3 (we change the volume by 10:1 ---> our 
compression ratio!)


For displacement=460 in^3 and and CR=12 we get CombChmbr_volume = 460/11 in^3 
or 41.8 in3 (we compress 501.8 in^3 of gas down to 41.8 in^3, i.e. by 12:1)













 
Now help me find the mass of the oxygen (we will disregard the nitrogen, argon, 
etc. for now),
if my manifold is 20 hg  (about 9.8 psi absolute) and I know oxygen weighs 32 
grams per mole and I assume 23C (of course it will be higher in a hot 
engine)...how much oxygen mass is going into the cylinders (with oxygen at 21% 
of air and for now disregarding the fuel). 





It's easier if you consider the air, and then when you're done that figure out 
the oxygen.


You can calculate how much air flows in one cycle (which in a four stroke 
engine is two crank rotations, or you can figure how much air flows when the 
engine is turning at a certain RPM.  I'll do the latter since it helps to have 
in hand some real mass flow numbers for your air, which closely relate to fuel 
flow rates, which also relate to power outputs - and fuel flow rates and power 
outputs are something that we probably have a certain intuitive grasp of.


Let's say you are turning your engine at 1800 RPM, a nice respectable 
synchronous genset speed.  So your crank makes 1800 rotations in a minute, 
which is 900 engine cycles.  So your pistons will have displaced 460 cubic 
inches times 900 cycles which is 414,000 cubic inches.  Which is also a number 
that means very little to me intuitively.  It is 414000/1728 = 239.6 cubic 
feet, which might be a bit easier to grasp physically.  Also for anybody who 
has race engine experience, many carburetors are rated in cfm and here we see 
that we need a 240cfm carbureter.  A typical bigblock might be fitted with a 
racing carburetor rated for 850cfm or 1050cfm (which is how much air your 
engine will need at 6120rpm or 7875rpm respectively, which are the sort of RPMs 
a race engine might be run at)


So your 460 c.i.d. engine is displacing 239 cubic feet of air per minute when 
it turns 1800rpm.  It displaces, in its cylinders, 239 cubic feet per minute no 
matter what the throttle setting is and no matter what the intake manifold 
pressure is.


In SI units, 239 ft^3/minute is 6.77 cubic metres per minute.  What Canadians 
call a "45 gallon drum" and what Americans call a "55 gallon drum" is about 200 
litres which is 0.2 cubic metres.  This airflow is about 34 drums per minute, 
or about half a drum of air per second.


In US Customary units the density of air is .076 pounds per cubic foot (at 59F 
and atmospheric pressure).



So let's say you set your throttle so that the manifold pressure is 20"Hg 
absolute (on most engine vacuum gauges which go from 0"Hg at atmospheric 
pressure to 29.92"Hg of vacuum, this will read as 10"Hg of vacuum).


At this throttle setting your manifold pressure will be about 9.8psia as you 
said.  This is 20/29.92 = 0.67 times atmospheric pressure.


When you throttle a gas flow, its temperature remains unchanged, its pressure 
drops, and its density drops by the same proportion.  So if you are throttling 
your air to 0.67 times atmospheric pressure, its density will be 0.67 times as 
big.


So your air mass flow rate is 239 ft^3/minute times .076 pounds/ft^3 times 0.67 
= 12.17 pounds of air per minute.


I did promise to tell you the oxygen flow rate so this is where we do it: 0.21 
(pounds of oxygen per pound of air) times 12.17 lbs/minute air = 2.56 pounds 
per minute of oxygen.  


It might be more tangible though to think in terms of air mass flow rates.  If 
we are burning gasoline we'd likely be using an air:fuel mixture ratio 
somewhere in the range of 12:1 to 15:1.  These mixture ratios are "pounds of 
air per pound of fuel".


Since we are flowing 12.17 pounds per minute of air, we'll need to flow about 1 
pound per minute of gasoline.


One pound per minute is sixty pounds per hour, which is 10 US gallons per hour. 
 Does this seem "about right" for a 460 c.i.d engine turning 1800rpm and 
producing about 65% of its wide-open power output at that speed?  (It passes my 
smell test, because it seems "close enough" to me to a 470 in^3 aircraft engine 
turning 2000-2300RPM, at 65% power setting, burning 12-15 USgph)


 



Best regards,  
 
Toby  




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-- 
- Daniel
Fredericton, NB  Canada


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