Rod Length Relationships
You are invited to participate in this
attempt to understand a part of internal combustion engines. I invite any/all criticisms,
suggestions, thoughts, analogies, etc.-- written preferred, phone calls accepted from
those too feeble or who have arthritis. Contributors are invited to request special
computer printouts for specific combinations of interest to them.
In general, most observations
relate to engines used for some type of competition event and will in general
produce peak power higher than 6000 RPM with good compression ring seal as
defined by no more than 3/16 CFM blowby per cylinder.
Short Rod is slower at BDC
range and faster at TDC range.
Long Rod is faster at BDC range
and slower at TDC range.
I. LONG ROD
A. Intake Stroke -- will draw
harder on cyl head from 90-o ATDC to BDC.
B. Compression Stroke -- Piston
travels from BDC to 90-o BTDC faster than short rod. Goes slower from 90-o BTDC
to TDC--may change ign timing requirement versus short rod as piston spends more
time at top. However; if flame travel were too fast, detonation could occur. Is
it possible the long rod could have more cyl pressure at ie. 30-o ATDC but less
crankpin force at 70-o ATDC. Does a long rod produce more efficient combustion
at high RPM--measure CO, CO2? Find out!!
C. Power Stroke -- Piston is
further down in bore for any given rod/crank pin angle and thus, at any crank
angle from 20 to 75 ATDC less force is exerted on the crank pin than a shorter
rod. However, the piston will be higher in the bore for any given crank angle
from 90-o BTDC to 90-o ATDC and thus cylinder pressure could be higher. Long rod
will spend less time from 90-o ATDC to BDC--allows less time for exhaust to
escape on power stroke and will force more exhaust out from BDC to 90-o BTDC.
Could have more pumping loss! Could be if exhaust port is poor, a long rod will
help peak power.
D. Exhaust Stroke -- see above.
II. Short Rod
A. Intake Stroke -- Short rod
spends less time near TDC and will suck harder on the cyl head from 10-o ATDC to
90-o ATDC the early part of the stroke, but will not suck as hard from 90-o to
BDC as a long rod. Will require a better cyl head than long rod to produce same
peak HP. Short rod may work better for a IR or Tuned runner system that would
probably have more inertia cyl filling than a short runner system as piston
passes BDC. Will require stronger wrist pins, piston pin bosses, and connecting
rods than a long rod.
B. Compression Stroke -- Piston
moves slower from BDC to 90-o BTDC; faster from 90-o BTDC to TDC than long rod.
Thus, with same ign timing short rod will create less cyl compression for any
given crank angle from 90-o BTDC to 90-o ATDC except at TDC. As piston
comes down, it will have moved further; thus, from a "time"
standpoint, the short rod may be less prone to detonation and may permit higher
comp ratios. Short rod spends more time at the bottom which may reduce intake
charge being pumped back out intake tract as valve closes--ie. may permit longer
intake lobe and/or later intake closing than a long rod.
C. Power Stroke -- Short rod
exerts more force to the crank pin at any crank angle that counts ie.--20-o ATDC
to 70-o ATDC. Also side loads cyl walls more than long rod. Will
probably be more critical of piston design and cyl wall rigidity.
D. Exhaust Stroke -- Stroke
starts anywhere from 80-o to 110-o BBDC in race engines due to exhaust valve
opening. Permits earlier exhaust opening due to cyl pressure/force being
delivered to crank pin sooner with short rod. Requires a better exhaust port as
it will not pump like a long rod. Short rod has less pumping loss ABDC up to
90-o BTDC and has more pumping loss from 90-o BTDC as it approaches TDC, and may
cause more reversion.
III. NOTES
A. Rod Length Changes --
Appears a length change of 2-1/2% is necessary to perceive a change was made.
For R & D purposes it appears a 5% change should be made. Perhaps any change
should be 2 to 3%--ie. Ignition timing, header tube area, pipe length, cam shaft
valve event area, cyl head flow change, etc.
B. Short Rod in Power Stroke --
Piston is higher in the bore when Rod-Crank angle is at 90-o even though at any
given crank angle the piston is further down. Thus, at any given
"time" on the power stroke between a rod to crank pin angle of 10o and
ie. 90-o, the short rod will generate a greater force on the crank pin which
will be in the 70-o to 75-o ATDC range for most engines we are concerned with.
C. Stroke -- Trend of OEM
engine mfgs to go to longer stroke and/or less over square (bore numerically
higher than stroke) may be a function of L/R. Being that at slower engine speeds
the effect of a short rod on Intake causes few problems. Compression/Power
Stroke should produce different emissions than a long rod. Short rod Exhaust
Stroke may create more reversion--EGR on a street engine.
D. More exhaust lobe or a earlier exhaust
opening may defeat a longer rod. I am saying that a shorter rod allows a earlier exhaust
opening. A better exhaust port allows a earlier exhaust opening.
E. Definition of poor exhaust
port. Becomes turbulent at lower velocity than a better port. Flow curve will
flatten out at a lower lift than a good port. A good exhaust port will tolerate
more exhaust lobe and the engine will like it. Presuming the engine has
adequate throttle area (so as not to cause more than 1" Hg depression below
inlet throttle at peak power); then the better the exhaust port is, the greater
the differential between optimum intake lobe duration and exhaust lobe duration
will be--ie. exh 10-o or more longer than intake Carbon buildup will be minimal
if cyl is dry.
IV. DEFINITIONS
Short Rod -- Min Rod/Stroke Ratio -- 1.60
Max Rod/Stroke Ratio -- 1.80
Long Rod -- Min Rod/Stroke Ratio -- 1.81
Max Rod/Stroke Ratio -- 2.00
Any ratio's exceeding these boundaries
are at this moment labeled "design screw-ups" and not worth considering until
valid data supports it.
Contributors to Date: Bill Clemmons, Jere
Stahl
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Connecting Rod
Length Influence on Power
by
William B. Clemmens
A spark ignition (SI) engine
and a steam engine are very similar in principle. Both rely on pressure above
the piston to produce rotary power. Pressure above the piston times the area of
the bore acts to create a force that acts through the connecting rod to rotate
the crankshaft. If the crankshaft is looked at as a simple lever with which to
gain mechanical advantage, the greatest advantage would occur when the force was
applied at right angles to the crankshaft. If this analogy is carried to the
connecting rod crankshaft interface, it would suggest that the most efficient
mechanical use of the cylinder pressure would occur when the crank and the
connecting rod are at right angles. Changing the connecting rod length relative
to the stroke changes the time in crank angle degrees necessary to reach the
right angle condition.
A short connecting rod achieves
this right angle condition sooner than a long rod. Therefore from a
"time" perspective, a short rod would always be the choice for maximum
torque. The shorter rod achieves the right angle position sooner and it does so
with the piston slightly farther up in the bore. This means that the cyl
pressure (or force on the piston) in the cylinder is slightly higher in the
short rod engine compared to the long rod engine (relative to time).
Table 1
ROD LENGTH RELATIONSHIPS*
(with Crank @ 90 deg ATDC)
Piston
Position Crankpin/Rod Angle
| Stroke |
Rod Length |
Rod Angle |
from
TDC |
ATDC |
| 3.5 |
5.70 |
17.88 |
2.025 |
72.12 |
| 3.5 |
5.85 |
17.40 |
2.018 |
72.59 |
| 3.5 |
6.00 |
16.96 |
2.011 |
73.04 |
| 3.5 |
6.20 |
16.39 |
2.002 |
73.60 |
Table 2
ROD LENGTH RELATIONSHIPS with CRANKPIN/ROD centerline @ 90o @ 7500 rpm
| Stroke |
Rod Length |
Rod Angle |
Piston Distance |
Crank Angle |
Piston
Accel |
| 3.5 |
5.70 |
17.07 |
1.487 |
72.93 |
2728.35 |
| 3.5 |
5.85 |
16.65 |
1.494 |
73.35 |
2504.72 |
| 3.5 |
6.00 |
16.26 |
1.500 |
73.74 |
2324.26 |
| 3.5 |
6.20 |
15.76 |
1.508 |
74.24 |
2097.27 |
*data from Jere Stahl
Another concern in selecting the
rod length is the effects of mechanical stress imposed by increasing engine speed.
Typically, the concept of mean piston speed is used to express the level of mechanical
stress. However, the word "mean" refers to the average speed of the piston in
going from the top of the bore to the bottom of the bore and back to the top of the bore.
This distance is a linear distance and is a function of the engine stroke and engine
speed, not rod length. Therefore, the mean piston speed would be the same for each rod
length listed in Table 1.
Empirical experience; however, indicates
that the mechanical stress is less with the longer rod length. There are two reasons for
these results. Probably the primary reason for these results is that the profile of the
instantaneous velocity of the piston changes with rod length. The longer rod allows the
piston to come to a stop at the top of the bore and accelerate away much more slowly than
a short rod engine. This slower motion translates into a lower instantaneous velocity and
hence lower stresses on the piston. Another strong effect on mechanical stress levels is
the angle of the connecting rod with the bore centerline during the engine cycle. The
smaller the centerline angle, the less the side loading on the cylinder wall. The longer
rod will have less centerline angle for the same crank angle than the shorter rod and
therefore has lower side loadings.
Classical textbooks by Obert (
) and C.F. Taylor ( ) provide little guidance on the rod length selection for
passenger or commercial vehicles other than to list the ratios of rod length to
crank radiuses that have been used by various engine designs. Race engine
builders using production blocks have done quite a bit of experimentation and
have found many drivers are capable of telling the difference and making clear
choices along with similar results from motorcycle flat track racers/builders.
Because of recent developments
in computer modeling of the engine cycle by R.D. Rabbitt ( ), another factor may
be critical in selecting a given connecting rod length. This new factor is the
cylinder head flow capability versus connecting rod length over stroke ratio
(l/r) versus engine speed. To understand this relationship, let us first review
previous techniques used to model air flow during the engine cycle which as
Rabbitt points out is founded on principles initiated in 1862 and refined in
1920. These theories are documented in Taylor's textbook ( ). To calculate air
flow throughout the cycle these models use such parameters as mean or average
inlet mach number for the port velocity and an average inlet valve discharge
coefficient which compensate for valve lift and duration. In these models a
control volume is used to define the boundaries of the combustion chamber. The
air flow determined by the previous parameters crosses this boundary to provide
air (and fuel) for the combustion process within the control volume.
However, this control volume
has historically been drawn in a manner that defines the boundaries of the
combustion chamber in the area of the inlet and exhaust valves as if the valves
were removed from the cylinder head (ie. a straight line across the port). With
the valves effectively removed, the previously mentioned average port flow and
valve discharge coefficient (ie. valve restriction) are multiplied within
current computer models to quantify the air flow (and fuel) delivered for each
intake stroke. But, as Rabbitt points out, this approach totally ignores the
effect of the air flow direction and the real effect of valve lift on the total
air flow that can be ingested on each intake stroke.
Rabbitt reaches two important
conclusions from his study. One, because of the direction of the air flow (angle
and swirl) entering the combustion chamber, three dimentional vorticies are set
up during the intake stroke. Two, that above a certain piston speed, density of
the mixture at the piston face is a function of valve geometry and valve speed.
Rabbitt further discusses the effect of the first conclusion as it relates to
the mass of air that is allowed to flow through the port and by the valve.
Vorticies can exhibit different characteristics and in general conform to two
general types--large scale bulk vorticies that could be described as smooth in
nature and small scale eddies that are highly turbulant.
If one can consider that the
vacuum produced by the piston on its downward travel to be the energy that
causes the air to flow through the port when energy losses throughout the intake
tract (including losses at the valve) are at a minimum, the flow delivered to
the chamber will be maximized. If the area between the piston face and the valve
is also included in the consideration of flow losses, the effect of the type of
vorticies created can be more easily understood. Large scale bulk vorticies
comsume less energy than highly turbulent eddy vorticies. Thus, more of the
initial energy from the piston's downward movement is available at the
port-valve-combustion chamber interface with which to draw the intake charge
into the chamber. Small scale eddies eat up energy which reduces the amount of
the initial energy that reaches the port-valve-combustion chamber interface
which in turn, reduces the port flow.
Rabbitt's second conclusion
follows that at some higher piston speed, the vorticies within the combustion
chamber (which are assumed to be large scale bulk type at low speeds) transition
from the bulk type to the small scale eddy type. At this point the flow into the
combustion chamber ceases to increase in proportion to increases in engine
speed. It is theorized that this flow transition point can be observed on the
engine power curve as the point at which the power curve begins to fall off with
increasing engine speed.
As indicated earlier, piston
speed is normally viewed as mean or average piston speed. Thus for a given
engine, the mean piston speed increases as the rotational engine speed
increases. However, in Rabbitt's model the piston speed of concern is the
instantaneous piston speed during the intake stroke near TDC. For any given
engine, changing the rod length to stroke (l/r) ratio changes the instantaneous
piston speed near TDC. For the purposes of flow visualization, the type of
vortex formed should not care whether a given instantaneous piston speed had
been achieved by a given rotational speed or changing the (l/r) ratio and
operating at a new rotational speed. As long as the instantaneous piston
velocity is the same, the type of vorticies formed should be the same and the
amount of air inducted into the cylinder should be the same.
If other factors influenced by
rotational speed such as the time distance between slug of intake air flow and
valve opening rates relative to the acceleration of the air slugs were ignored,
one should be able to predict the location (RPM) of the peak power as a result
of a change in the (l/r) ratio. Note, that even though power is a funtion of air
flow and air flow should be roughly constant for the same instantaneous piston
speed (neglecting the afore mentioned factors), the power may not be the same
because of the lever arm effect between the crank radius and the connecting rod.
(As we noted earlier, the shorter rod should have the advantage in the lever arm
effect.)
In reality, the analysis must
be viewed by stroke (ie intake, compression, exhaust, power) the selection of
exhaust valve opening time combined with the exhaust system backpressure and
degree of turbulance the exhaust port experiences. If the exhaust port has good
turbulance control then you may run a shorter rod which allows you to use more
exhaust lobe which reduces pumping losses on the exhaust stroke.
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