The majority of people who read the title of this article
are going to go red with disappointment and anger ? Is this some kind of a
joke. Some of the smartest minds in the
world, millions of dollars and thousands of man hours have been spent in
proving that the IC piston engine has an efficiency of at least above 20%. This
is something like the gospel, we all take it for granted. But is it actually
true ? And if it isn't, what does it
mean for Global warming and our rapidly vanishing fossil fuel reserves ?
It all
comes down to, as I have said before in some of my articles, a question of
leverage. In order to understand this statement let us examine the manner in
which an IC piston engine works: A fuel/air mixture is introduced into the
cylinder and is compressed in a ratio of about 9 : 1 resulting in a rise in
temperature and pressure. This compressed air/fuel mixture is now ignited. The pressure in the cylinder rises to 500 psi
approx and the temperature to 2000 0 F. The total force exerted on the piston head
depends on the area of the piston head.
For instance if the diameter of the piston head were 2 ins. Then its area would
= 3.14 sq ins. And the total pressure exerted on this area would be 500 x
3.14 = 1570 lbsf.
Coming back
to the subject of levers. Thanks to Archimedes of 'Eureka" fame, most of us are aware that a 1
ft. long spanner used to turn a nut, will when a force of 1 lb is exerted on
its end at right angles, result in a torque of 1 ft lb. being exerted on the
nut.
Similarly if all other parameters remain the same and the
length of the spanner were increased to 2 ft. Then the torque exerted on the
nut would rise to 2 ft lbs and son on. If the length of the spanner were
increased to 10ft. the same1 lb force exerted on its end would result in a
torque of 10 ft lbs being exerted on the nut. In this sense the lever might be
thought of as a force multiplier. Also
note that in the case of a force of 1 lb exerted at right angles on a rod of 1
ft length and resulting in a torque of 1 ft lb might be thought of as being
100% efficient. i.e., power in equals power out.
In the IC
piston engine the piston is attached to the crankshaft by a connecting rod. The
connecting rod is in turn attached to the crankshaft through the crank throw.
In order to translate the linear up and down motion of the piston in the
cylinder into the rotary movement of the crankshaft it is essential that a
lever be utilized. In the IC piston engine it is the throw of the crankshaft
that takes on the role of a lever.
Unfortunately the throw of the crankshaft has to be approximately half
the diameter of the piston bore in length, if this were not so the piston would
hit on the skirts of the cylinder as it traveled up and down. In the example given above of a 2 in.
diameter piston the throw of the crankshaft would have to be approx. 1 in. One inch divided by 12 = 0.08 ft. The
torque generated by 1570 lbsf would be 0.08 x 1570 = 130.8 ft lbs. Yet remember
that it is only when the force is exerted at right angles that the full benefit
of a lever can be realized. In the case of a piston moving down a cylinder it
is evident that as the connecting rod moves down the cylinder its angle of
attack is constantly changing, if we average out this angle of attack we arrive
at an angle of approx. Sin 10 degrees. Sin 10 = 0.173approx. So that in order
to arrive at the final amount of torque that is generated by an IC piston
engine with a2 in diameter piston we have to multiply 130.8 x 0.173 = 22.6 ft
lbs torque. Thus the initial force of 1570 lbsf that was exerted on the piston
head results in a torque of just 22.6 ft
lbs being generated or an efficiency of
(22.6/1570) x 100 per cent. = 1.44 % . Hah ! you say you have lost your
bet, the efficiency of the IC piston engine is more than 1% and the engineers
probably have some method of increasing that figure to 20% or more.
Before we
go down that road let us check with the figures given out by manufacturers.
Since I am from India, I
will use the figures published by the manufacturers of one of India's best
selling cars the Maruti Suzuki 800. Here
are some of the specifications:
Bore = 68.4 mm = 2.7 ins approx
Stroke = 72 mm = 2.8 ins approx.
37 bhp @ 5000 rpm
Area of piston head = 5.72 sq ins.
Ok! So 37 bhp = 37 x 550 = 20,350 ft lbs approx.
20,350 / 5000 = 4.07 ft lbs torque per power stroke approx.
Why, you ask is there so much
difference amounting to almost a factor of 10 between the figures worked out
using the initial effective pressure on the piston head and the figures given
out by the manufacturer which are obtained using test equipment. Thus the figure obtained through calculations
was 22.6 ft lbs while the manufacturers figure is 4.07 ft lbs. The answer lies in the fact that one of the design factors of the IC piston
engine necessitates the opening of the exhaust valve at between 10 0 –
150 before BDC during the
power stroke, if this were not done
there is a good chance that the crankshaft would fracture as it comes to a halt
at BDC. However, this also means that the pressure in the cylinder is reduced
drastically during the power stroke. Engineers, therefore, use something known
as the mean effective brake pressure to calculate the pressure in the cylinder
during the power stroke. This mean
effective pressure can be worked out by working backwards using the
manufacturers figures. Remember BHP is the mechanical work output of the engine
taken directly from the crankshaft, so there is not much room for really big
errors. Thus: 4.07/0.112 ft = 36 lbsf.
which in turn divided by Sin 10 =
210 lbsf. approx.
Using the
new figures to work out the efficiency percentage gives: (4.07/ 2846) x 100 ( i.e. Torque / initial force x 100 ) = 0.14 % efficiency
approx. Although there might be
arguments against this figure , remember that a force of one pound exerted on
right angles results in a torque of 1 ft lb being exerted, this gives an
efficiency of 100% . Using the same method we have arrived at an efficiency of
only 0.14 % for the IC piston engine !
Ok! Now let us try a different tack. 1 litre of petrol has a calorific
value of approx. 3.6 MJ of energy. At
each stroke 20 cu mm or 0.02 cc of
petrol are injected into the cylinder having a calorific value of 37 x 20 or 740 J The figure given by the manufacturers works
out to 4.07 ft lbs torque per power stroke. 4.07 ft lbs = 5.291 J approx.
Therefore the efficiency calculated as a function of energy in to work out
equals (5.291/720) x 100 = 0.71 %.So either way it appears that the IC piston
engine has an efficiency of below 1%.
Next we
have to ask ourselves, can we sustain this kind of wastage. Imagine going into
a shop and ordering a soft drink and then throwing away 99.5% of it and
drinking only the remaining 0.5%. It would be a complete outrage !
It is true
that the IC piston engine has served mankind admirably over the years. It has
enabled us to cross continents and to brave alike both the desert snds and the
inhospitable wastes of the polar regions. It had even enabled us to fly. But
ask yourselves at an efficiency of just 0.5% is it really worth it !
Lastly, is
there an alternative, yes there is!! The
question is why is it not being followed up.
Good Answers:
"Almost" Good Answers: