INTRODUCTION:
- Engine
design is generally characterized by the determination of engine
performance parameters and its characteristics.
- Internal
combustion engines operate within a certain range of speed. At each speed
within a fixed range there is variation of power output. From power
developed to the maximum usable value.
- The
ratio of the power developed to the maximum usable power at the same speed
is the LOAD.
- The
fuel consumption of the engine during this range of speed varies with the
load and speed.
- The
engine performance therefore depends upon the inter-relationship between power developed, speed and fuel
consumption.
Evaluation
and determination of engine performance
i.
Maximum power or torque available at
each speed within the useful range of speed.
ii.
The range of power output at constant
speed for stable operation of the engine.
iii.
Brake specific fuel consumption at each
operating condition.
iv.
Reliability and stability of the engine
for the given range of operation.
(b) Engine
performance characteristics are determined by the following two methods
i.
By using experimental results obtained
from engine tests.
ii.
By analytical calculation based on
theoretical data.
The performance of an
engine is judged from the point of view of following two major factors:
(a)
Engine power
(b)
Engine efficiency
ENGINE
POWER:
In general, energy flowing
through the engine is expressed in three distinct terms.
(i)
Indicated power, (ip)
(ii)
Brake power (bp)
(iii)
Friction power (fp)
Indicated
Power:
The indicated power is
based on indicted net work and is thus a measure of the forces developed within
the cylinder.
Indicated power can be
determined by:
(i)
Measurement of forces in the cylinder.
ip
= bp + fp…………………………………………………………………………(1)
(ii)
Multiplying
the mass flow rate of air through the engine (kg/sec) by the net work obtained
from the p-V diagram
ip = ma x net work …………………………………………………………..(2)
(iii)
In
working with actual engine it is desirable to compute ip from a given Indicated
Mean Effective pressure (Pim)
Where
Pim = Indicated men Effective
pressure (N/m2)
L = Length of the stroke (m)
A = Area of the piston (m2)
N = Speed in revolutions per minute
n = Number of power strokes per minute
N/2 for a four - stroke engine
N for a two - stroke engine
K =
Number of cylinders.
(iv)
Morse test
Indicated
Mean
Effective Pressure (Pim).
- Due
to continuous variation in pressure in the cylinder it renders it difficult
for simple mathematical analysis in the computation of the ip. If an
average pressure for one cycle can be used then the computation of ip
becomes easier.
- As
the piston moves back and forth between TDC and BDC (Fig. 1) the process
lines on the p-V diagram indicates the successive
states of the working fluid through the cycle.
- The
indicated net work of the cycle is represented by the area 1234 enclosed
by the process lines for the cycle. If the area of the rectangle ABCD
equals area 1234, then the vertical distance between horizontal lines AB
and CD represents the Indicated Mean Effective Pressure (imep).
- It
is a mean value expressed in N/m2, which when multiplied by the
displacement volume, Vs, gives the same indicated net work as
is actually produced with the varying pressure.
- Net
work of the cycle (Wnet) =…………………………………… (4)
………………………………………………(5)
Fig. 1
- On
an actual engine the p-V diagram (called the indicator diagram) is
obtained by a mechanical or electrical instrument attached to the cylinder
taking into consideration the spring constant.
- The
area enclosed by the actual cycle on the indicator card may be measured by
a planimeter.
- The
value of the area measured, when divided by the piston displacement,
results in the mean ordinate, or indicated mean effective pressure (Pim).
Brake
Power:
- Brake
power is the
§ Power
actually delivered by the engine at the output.
§ It
is also called
ü Shaft
power or
ü Delivered
power
Measurement
of brake power:
Measurement of brake
power involves the determination of the torque and angular speed of the engine
output shaft. The torque measuring device is called DYNAMOMETER.
Brake power may be
computed from the measurement of forces at the crankshaft of the engine.
·
This is done by attaching a power
absorption device to the drive-shaft of the engine.
·
This device sets up measurable forces
counter-acting the forces delivered by the engine, and the determined value of
these measured forces is indicative of the forces being delivered.
·
On the basis of the geometry of a prony
brake (Fig 2) a formula for determining brake power of an engine is derived.
§ Assuming
the drive-shaft of the engine turns through one revolution, any point on the
periphery of the rigidly attached wheel moves through a distance equal to 2πr.
§ During
this movement, a friction force ƒ is
acting against the wheel. The friction force ƒ is thus acting through the distance 2πr, and produces work.
Thus,
Work
done during one revolution = Distance x Force
……………………………………………...(6)
§ The
torque rƒ, produced by the
drive-shaft is opposed by a turning moment equal to the product of the length
of the moment arm R and the force F measured by the scale.
T = rƒ= RF ………………………………………………………..(7)
§ Work
during one revolution = 2πRF
§ Power …………………………………………………(8)
Where N = revolutions per minute of the
drive-shaft. Therefore
………………………………………………(9)
Fig. 2 Prony brake
- Dynamometers
can be broadly classified into two main types:
(i)
Absorption
dynamometers:
These dynamometers measure and absorb up
power output of the engine to which they are coupled.
The power absorbed is usually dissipated
as heat by some means. Examples of each of dynamometers are prony brake, hydraulic,
eddy current dynamometers, fan dynamometer etc.
(ii)
Transmission
dynamometer:
In transmission dynamometers the power
is transmitted to the load coupled to the engine after it is indicated on some
type of scale. These are also called torque meter.
Brake
Mean Effective Pressure (bmep):
- Indicated
Mean Effective Pressure (imep) may be considered to consist of the bmep
and fmep, two hypothetical pressures.
§ Brake
mean effective pressure is the portion of imep which produces the useful power
delivered by the engine.
§ Friction
mean effective pressure is that portion of imep which is required to overcome
friction losses.
imep = bmep + fmep
§ Since
bmep has the same relationship to bp as imep is to ip
……………………………………………………….
(10)
§ Equation
for computing ip when imep is determined from an engine indicator diagram was
§ The
bp and bmep have the same relationship to one another as do ip and imep, bp can
be expressed as
………………………………………………….(11)
Where Pmep
is the mean effective pressure (N/m2)
§ The
mechanical efficiency of engine can be expressed as the ratio of bmep and imep
………………………………………………….(12)
Friction
power:
- The
difference between the indicated power and the brake power of an engine is
known as Friction power.
fp = ip – bp
……………………………………………………….(13)
- The
internal losses in an engine are essentially of two kinds
§ Pumping
losses
§ Friction
losses
ü Pumping
losses are losses caused when during both strokes the piston must be moved
against to overcome gaseous pressures ( on the underside during inlet and on
the upper side during exhaust stroke)
ü The
friction loss is made up of
v The
friction between the piston and cylinder walls
v Piston
rings and cylinder walls
v Crankshaft
and camshaft and their bearings
v Loss
incurred by driving essential accessories such as the water pump, ignition unit
etc.
- Friction
power is used for evaluation of indicated power and mechanical efficiency.
- Following
methods are used to find the friction power to estimate the performance of
the engine.
(i) Morse
test
(ii) Willan’s
line method
(iii) Motoring test
(iv) From
the measuring of indicated and brake power
(v) Retardation
test
ENGINE
EFFICIENCIES
- Apart
from expressing engine performance in terms of power, it is essential to
express in terms of efficiencies.
- Various
engine efficiencies are:
(i) Thermal
efficiency
§ Indicated
thermal efficiency
§ Brake
thermal efficiency
(ii) Air-standard
efficiency
(iii) Mechanical efficiency
(iv) Relative efficiency
(v) Volumetric
efficiency
(vi) Scavenging efficiency
(vii)
Charge efficiency
(viii)
Combustion efficiency
Thermal
efficiency:
- Thermal
efficiency of an engine is important, since it determines how efficiently
the fuel is being used in the engine.
- There
are two cases to consider. They are
§ The
indicated thermal efficiency and
§ The
brake thermal efficiency.
Case
I In internal combustion engine, the
thermal efficiencies are as follows:
Indicated thermal
efficiency = (Energy equivalent of the ip/s) / (Energy supplied by fuel/s
………………………………………………(12)
Where mflow
rate = mass flow rate of fuel/s
CV =
calorific value of fuel
Brake
thermal efficiency = (Energy equivalent of the bp/s) / (Energy supplied by
fuel/s)
…………………………………………………(13)
Case
II In
the steam engines or turbines the efficiencies are as follows
Indicated thermal efficiency = (Energy
equivalent of the ip/s) / (Useful energy received/s)
Air-Standard
Efficiency:
- The
Air-Standard efficiency is also known as thermodynamic efficiency.
§ It
is mainly a function of compression ratio and other parameters.
§ It
gives the upper limit of the efficiency obtainable from an engine.
Mechanical
efficiency:
- Mechanical
efficiency takes into account the mechanical losses in an engine.
- Mechanical
losses may be further subdivided into the following groups:
(i) Friction
losses as in case of pistons, bearings, gears, valve mechanisms. With the development in bearing
design and materials, improvements in gears ect, these losses are usually
limited from 7 to 9 percentage of the indicated output.
(ii) Power
is absorbed by engine auxiliaries such as pump, lubrication oil pump, water
circulation pump, radiator, magneto and distributor, electric generator for
battery charging, radiator fan ect. These losses may account for 3 to 8
percentage of the indicated output.
(iii) Ventilating action of the flywheel. This loss
is usually below 4% of the indicated output.
(iv) Work
of charging the cylinder with fresh charge and discharging the exhaust gasses
during the exhaust stroke. In case of two-stroke engines the power absorbed by
the scavenging pumps ect. These losses may account for 2 to 6 of the indicated
output. In general mechanical efficiency of the engines varies from 65 to 85%.
Relative
efficiency:
- The
relative efficiency or the efficiency ratio as is sometimes called is the
ratio of the actual efficiency obtained from an engine to the theoretical
efficiency of the engine cycle.
- Hence
Relative efficiency = (Actual brake thermal efficiency) /
(Air-standard efficiency)
- Relative
efficiency for most engines varies from 75 to 95%.
Volumetric
efficiency:
- Volumetric
efficiency is a measure of the success of the charge is induced into the
engine.
- It
is a very important parameter, since it indicates the breathing capacity
of the engine
- It
is defined as the ratio of the actual mass of air drawn into the engine
during a given period of the time to the theoretical mass which should
have been drawn in during that same period of time, based upon the total
piston displacement of the engine and the temperature and pressure of the
surrounding atmosphere.
…………………………………………………………………………………………(14)
Where n = is the number of intake strokes per minute
For a four stroke engine n = N/2
For two-stroke engine n = N
N
= is the speed of the engine in rev/min
Scavenging
efficiency:
- Scavenging
efficiency (in case of two stroke engines) is defined as the ratio of the
amount of air or gas-air mixture which remains in the cylinder at the actual
beginning of the compression to the products of the total volume and air
density at the inlet.
- Scavenging
efficiency for of the two-stroke engines varies from 40 to 95 percent
depending upon the type of scavenging provided.
Charging
efficiency:
- The charging
efficiency shows how well the piston displacement of a four-stroke engine
is utilized.
- Various
factors affecting charge efficiency are:
(i) The
compression ratio
(ii) The
amount of heat picked up during passage of the charge through intake manifold
(iii) The valve timing of the engine
(iv) The
resistance offered to air-fuel charge during its passage through induction
charge.
Combustion
efficiency:
- Combustion
efficiency is the ratio of the heat liberated to the theoretical heat in
the fuel.
- The amount
of liberated heat is less than the theoretical value because of incomplete
combustion either due to dissociation or due to lack of available oxygen.
- Combustion
efficiency in a well adjusted engine varies from 92% to 97%
ENGINE
PERFORMANCE CHARACTERISTCS
- Engine
performance characteristics are a convenient graphical presentation of an
engine performance.
§ They
are constructed from data obtained during actual test runs of the engine
§ They
are particularly useful in comparing the performance of one engine with that of
another.
- At certain
speed within the speed range of an engine, the charge induced per cylinder
per cycle will be maximum.
§ At
this point the, the maximum force will exert on the piston.
§ The
torque (or engine capacity to do work) will also be maximum at this point.
“Thus,
there is a particular engine speed at which the charge per cylinder per cycle
is a maximum, and at approximately this same speed the torque of the engine
will be a maximum.”
VARIABLES
AFFECTING PERFORMANCE CHARACTERISTICS
These are
(a) Combustion
rate and Spark Timing:
§ The
spark should timed and the combustion rate controlled such that the maximum
pressure occurs as close to the beginning of the power stroke as possible.
§ The
spark timing and combustion rate should be regulated in such a way that
approximately one half of the total pressure rise due to combustion has
occurred as the piston reaches TDC on the compression stroke.
(b) Air-fuel
ratio:
§ This
ratio must be set to fulfill engine requirements.
ü Air-fuel
ratio should be set as close as possible to the best economy proportions during
normal cruising speeds
ü It
should also be set as close as possible to the best power proportions when
maximum performance is required.
(c) Compression
ratio:
- An increase
in compression ration increases the thermal efficiency, and is generally
advantageous.
§ The
compression ratio in most SI engines is limited by knock
§ Increasing
compression ratio increases the friction of the engine parts particularly
between piston rings and the cylinder walls.
(d) Engine
speed:
·
At low speeds, a greater length of time
is available for heat transfer to the cylinder walls and therefore a greater
proportion of heat loss occurs.
·
Up to a certain point, higher speeds
produce greater air consumption and therefore greater ip
§ However
higher speeds are accompanied by rapidly increasing ƒp and by greater inertia
in the moving parts.
(e) Mass
of induced charge:
·
The greater the mass of the charge
inducted, the higher the power produced
·
It is desirable to induct a charge to a
maximum possible density giving the highest volumetric efficiency.
(f) Heat
losses:
·
It is evident that a large amount of the
available energy is lost unused i.e. heat losses.
·
Any method which can be employed to
prevent the excessive heat loss and cause this energy to leave the engine in a
usable form will tend to increase engine performance.
METHODS
OF IMPROVING ENGINE PERFORMANCE
Following are methods through which engine
performance may be improved:
(i) Energy
supply may be increased by increasing the mass of charge entering the
combustion chamber.
§ This
can be accomplished by introducing superchargers (supercharging). Increasing
piston displacement. This method is limited by engine weight.
§ Improvement
in volumetric efficiency would increase mass of charge.
§ Higher
engine speeds may be utilized, but this increases friction losses.
(ii) The
use of higher compression ratios would increase the efficiency of the engine
(iii) Recycling of exhaust gases to be used for
driving turbochargers.





