Operating turbochargers | Turbo Magazine 2/1995 25
Fig. 7: Relative isentropic efficiency versus U/ C
O
Looking at Fig. 4, it is seen that for a given pressure ratio
p
totvT/pstatnT
, ⌬hsdepicts the specific energy difference
(enthalpy drop) without losses to the surroundings. No increase in entropy takes place. However, the technical processes we apply always incur losses. The processes are said
to be irreversible. The entropy has to increase. ⌬h depicts the
enthalpy drop that can be used. The ratio ⌬h/⌬h
s
is referred
to as the isentropic efficiency.
The gases have a certain velocity on arriving at the nozzle
ring, where the gas expands, increasing the velocity. The gas
expands further over the turbine blades, which run a certain
speed, and exits the blading at a relatively low velocity. The
gas velocity-enthalpy relationship at the different points can
be seen in Fig. 5.
The enthalpy drop between the nozzle ring inlet and the turbine
exhaust can be divided into several parts – the gas velocity
at the nozzle ring inlet, the turbine blade inlet (equal to the
nozzle ring outlet velocity) and the turbine blade outlet. The
gas velocity at the turbine blade inlet is converted into usable
output with the best possible efficiency that can be achieved.
Obviously, after the gas has left the turbine blades it cannot
perform any more work.
If the entire enthalpy drop (expansion pressure ratio) were
used to increase the gas speed in the nozzle ring, we would
speak of an impulse turbine. But if only a part is used and the
remaining enthalpy (pressure ratio p
int/pnT
) expands over the
turbine blades, we speak of a reaction turbine. The degree of
reaction is the ratio of enthalpy drop over the turbine blades
to the total enthalpy drop.
From Fig. 3 we have seen that there is an intermediate pressure,
p
int
, between the nozzle ring and the turbine blades. Different
turbine blade heights can be applied for a given turbocharger
frame size. Nozzle rings with a gas flow area ranging from small
to large may be chosen for every blade height. A small nozzle
ring area combined with a turbine of fixed area will cause the
intermediate pressure to be low. The degree of reaction will be
low. A large nozzle ring area for the same turbine will result in
p
int
being higher, as will the degree of reaction.
The degree of reaction influences the turbine efficiency. In
Fig. 6, the turbine isentropic efficiencies have been plotted
over the pressure ratios
T(ptotvT/pstatnT
). The figure also
shows clearly that, depending on the engine application requirements, a combination of nozzle ring and turbine can be
chosen for higher turbine efficiency at full load or part-load
operation of the engine.
Turbochargers are frequently fitted to engines with a pulse
turbocharging system. The pressure ratio over the turbine is
then highly variable. To determine the influence of the turbine
efficiency on this type of operation, it is convenient to plot
the efficiency over the so-called blade speed ratio, U/C
o
. U is
the mean turbine blade speed and C
o
is the gas velocity
corresponding to the isentropic enthalpy drop over the nozzle
ring and turbine assembly. Fig. 7 shows the main details.
Fig. 8 depicts the exhaust gas pressure during the gas
exchange period of a 4-stroke engine. The mean turbine
blade speed, U, is constant, while C
o
varies with the gas
pressure and temperature. U/C
o
changes accordingly, and
with it the efficiency. Fortunately, at low pressures, when the
efficiency is low, only a small enthalpy drop and a reduced
gas mass are involved, so that not much energy is converted
with low efficiency.
Fig. 8: Period of gas exchange in a 4-stroke engine with
3-pulse turbocharging.
Temp.
Press.
exh. pipe
exh. pipe