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Report No. SH-08-0201-B1-V1.01 - Final Report - INFLUENCE OF TURBOCHARGER FOULING ON FUEL CONSUMPTION Customer : Innospec Ltd. Thiesstr. 61 D-44649 Herne Germany Contractor : MET Motoren- und Energietechnik GmbH Erich-Schlesinger-Straße 50 D-18059 Rostock Germany Editors : Prof. Dr.-Ing. habil. S. Bludszuweit Dr.-Ing. H. Stückrad Dipl.-Ing. C. Escher Date : 01.07.2008

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Report No. SH-08-0201-B1-V1.01

- Final Report -

INFLUENCE OF TURBOCHARGER FOULING ON FUEL CONSUMPTION

Customer: Innospec Ltd. Thiesstr. 61 D-44649 Herne Germany Contractor: MET Motoren- und Energietechnik GmbH Erich-Schlesinger-Straße 50 D-18059 Rostock Germany Editors: Prof. Dr.-Ing. habil. S. Bludszuweit Dr.-Ing. H. Stückrad Dipl.-Ing. C. Escher Date: 01.07.2008

SH-08-0201-B1-V1.01 INFLUENCE OF TURBOCHARGER FOULING ON FUEL CONSUMPTION

MET Motoren- und Energietechnik GmbH Rostock

1

CONTENT

1 INTRODUCTION.............................................................................................................. 4

1.1 Initial Situation - Motivation for the Project.............................................................. 5

1.2 Terms of Reference.................................................................................................... 8

2 SOLUTION STRATEGY – STEPS OF THE INVESTIGATION.................................... 8

3 RESULTS ........................................................................................................................ 10

3.1 Strongly Simplified 2D Model of a Rough Surface................................................. 10

3.2 Simplified 3D Model of a Rough Surface ............................................................... 13

3.3 Fully 3D Model of the Turbine of a Turbocharger .................................................. 17

4 SUMMARY / CONCLUSIONS...................................................................................... 22

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LIST OF FIGURES

Fig. 1 Nozzle ring a) brand-new b, c) after use under severe service conditions................. 6

Fig. 2 Deposits on rotor blades used under severe service conditions a), b), c) after

washing ...................................................................................................................... 7

Fig. 3 Surface roughness profile (see [4]) .......................................................................... 10

Fig. 4 Detail of a numerical mesh with mesh adaptation ................................................... 10

Fig. 5 Pressure and velocity distribution; turbulence model: k-ε ....................................... 11

Fig. 6 Pressure and velocity distribution; turbulence model: SST ..................................... 11

Fig. 7 Pressure and velocity distribution; turbulence model: SA....................................... 12

Fig. 8 Pressure and velocity distribution published in [4].................................................. 12

Fig. 9 Simplified 3D model of a rough surface; geometry and boundary conditions ........ 13

Fig. 10 Simplified 3D model of a rough surface; roughness profile and mesh detail .......... 14

Fig. 11 Pressure and velocity distribution; surface: hydraulically smooth; turbulence model:

SST........................................................................................................................... 14

Fig. 12 Pressure and velocity distribution; surface: actual roughness distribution; turbulence

model: SA ................................................................................................................ 15

Fig. 13 Pressure and velocity distribution; surface: equivalent sand roughness; turbulence

model: SA ................................................................................................................ 15

Fig. 14 Geometry of the turbine of a characteristic turbocharger based on information by

ABB Turbo Systems AG CH-5401 Baden/Switzerland .......................................... 17

Fig. 15 Rotor-stator flow model and boundary conditions................................................... 17

Fig. 16 Pressure and velocity in stationary frame distribution a) surface: hydraulically

smooth; turbulence model: transition-model b) surface: deposit height 0.1 mm, sand

roughness 2.6 mm; turbulence model: k-ε ............................................................... 18

Fig. 17 Pressure distribution a) surface: hydraulically smooth; turbulence model: transition-

model b) surface: deposit height 0.1 mm, sand roughness 2.6 mm; turbulence

model: k-ε ................................................................................................................ 19

Fig. 18 Distribution of velocity in stationary frame a) surface: hydraulically smooth;

turbulence model: transition-model b) surface: deposit height 0.1 mm, sand

roughness 2.6 mm; turbulence model: k-ε ............................................................... 20

Fig. 19 Effective power of a12-cylinder gas engine as a function of the turbine efficiency 23

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Fig. 20 Specific fuel consumption of a12-cylinder gas engine as a function of the turbine

efficiency.................................................................................................................. 24

Fig. 21 Fuel consumption changes due to changes in turbine efficiency ............................. 24

Fig. 22 Influence of turbocharger efficiency on fuel consumption [5]................................. 25

LIST OF TABLES

Tab. 1 Pressure loss and isentropic efficiency of the turbine part of a turbo charger for

different boundary conditions .................................................................................. 22

Tab. 2 12-Technical data of a 12-cylinder gas engine......................................................... 23

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1 INTRODUCTION

A turbocharger is a piece of equipment installed in diesel engines to increase the power output

of the engine by increasing the mass of air entering the engine. Basically, the turbocharger

consists of a gas turbine driven by the waste energy of the engine exhaust gas, which is di-

rectly coupled to a centrifugal blower (gas compressor). It is known that modern turbochargers

with their high efficiency can take from the exhaust gas stream a sufficient amount of energy

to make available the required air flow for the combustion as well as the scavenging air of the

cylinder. The blower compresses the intake air above atmospheric pressure, greatly increasing

the volumetric efficiency beyond that of naturally aspirated engines. Compressor and turbine

have the same shaft. A key advantage of turbochargers is that they offer a considerable im-

provement in engine efficiency and an increase in engine power with only a slight increase in

weight.

The compressor increases the pressure of the air entering the engine, so a greater "charge"

(fuel/air mixture) enters the engine in the same time interval (the increase in fuel is required to

keep the same mixture ratio). This greatly improves the volumetric efficiency of the engine.

The increase in pressure is called "boost". The energy from the extra fuel leads to more overall

engine power. A disadvantage of high boost pressures for internal combustion engines is that

compressing the inlet air increases its temperature. The higher temperature is a volumetric

efficiency downgrade which can be alleviated by cooling the inlet air before it is fed into the

cylinders, using an intercooler or a charge air cooler (a heat-exchange device).

However, there are some parasitic losses due to heat and exhaust backpressure from the tur-

bine, so turbochargers are generally only about 80% efficient because it takes some work for

the engine to push those gases through the turbocharger turbine (which is acting as a resis-

tance in the exhaust stream). Recently intensive analysis has been carried out as one can addi-

tionally increase the efficiency of the turbochargers to reduce engine exhaust emissions.

This can be achieved by compressing the fresh air before the cylinder to a very high pressure

before expanding the highly compressed air into the cylinder. As a result, heat is extracted, as

is well known, from the cylinder contents and peak temperatures are lowered during the com-

bustion process leading to reduced NOx formation.

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1.1 Initial Situation - Motivation for the Project

The previously described positive effects of the turbocharger on the engine process can only

occur during the engine operation if the efficiency of the turbocharger is not reduced under

real conditions by fouling. The components of the turbines of turbochargers operate in a par-

ticularly harsh environment. All surfaces that come in contact with the exhaust gases invaria-

bly become rough with service. Normally the main cause of the fouling is the incomplete

combustion of heavy fuel oil. The danger of fouling is greater, the more large diesel engines

are operated in the lower partial-load operational range without the use of combustion improv-

ing fuel additives. The degree and the nature of roughness due to mechanisms such as erosion,

fuel deposition, pitting, and spallation of thermal-barrier coatings depend on the fuel (HFO)

burnt, the operating conditions, and service time. This material degradation in the form of

surface roughness is known to increase surface skin friction and heat transfer in a significant

way. For a given cooling management, increase in surface heat transfer increases material

temperature, which hastens further material degradation.

It is well known that keeping the foils of a turbine free-flowing helps to maintain pumping

efficiency and subsequently helps to keep thermal efficiency and output capacity of the engine

high. Otherwise if a turbocharger is used with very rough nozzle ring and turbine blades the

fuel consumption and the exhaust temperature will increase significantly, which in turn can

possibly lead to engine and turbocharger break-down.

The turbine nozzles are the components that will have the most effect on efficiency where

surface finish (roughness) is concerned. Although both nozzles and turbine blades have the

highest ratio of surface area to the cross-sectional area of the exhaust gas path, the turbine

blades have a lower differential velocity between the gas and surface, making them less af-

fected by roughness than are the nozzles. Also, the higher the pressure of the gas, the more

important roughness becomes.

Fig. 1 shows clearly the surface state of a nozzle ring in service in comparison to a factory-

new component. Clearly deposits and roughness on a millimetre scale can be recognised.

In Fig. 2 the deposits on the rotor blades of a used turbine are shown after washing. Also here

the thickness of the deposits partially lies in the scale of millimetres.

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Fig. 1 Nozzle ring a) brand-new b, c) after use under severe service conditions

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Fig. 2 Deposits on rotor blades used under severe service conditions a), b), c) after washing

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1.2 Terms of Reference

In order to estimate the efficiency losses of turbo chargers during a service cycle, it is neces-

sary to estimate the skin friction and heat transfer augmentation generated by various types of

surface roughness. So the aim of the current project was to demonstrate the influence of the

typical changes of surface roughness under service conditions to the pressure drop inside the

turbine of a turbocharger using state of the art numerical (CFD) simulation and analysis tech-

niques on

a) strongly simplified geometries taking into consideration the real roughness of a surface.

b) the real complex geometry of a turbocharger turbine using simplified roughness models.

2 SOLUTION STRATEGY – STEPS OF THE INVESTIGATION

The solution of the problem is planned in 3 steps:

Step 1:

The first step of the investigations is the preliminary analysis of a 2D geometrical model. The

geometrical model is based on real roughness conditions similar to experimentally determined

roughness data. Primarily, the model is used for the comparison of different mesh generation

strategies and the evaluation of the influence of different turbulence models. The results of the

simulation runs will be compared to results taken from well known reference sources (see

[4]). For the comparison cases nearly identical geometrical proportions and boundary condi-

tions were used. The main objectives of the investigations are

• the optimization of the necessary refinement of the numerical mesh and

• the choice of the turbulence model for further investigations.

Step 2:

The second step of investigation work is characterized by the creation of a three-dimensional

geometrical model of a real surface topography based on measured data. The three-

dimensional surface topography is formed by a texture consisting of repetitive or random de-

viations from the nominal surface, whereas surface roughness consists of the finer irregulari-

ties which are present. The coarser elements of the surface texture are waviness, lay and flaws.

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The universally and internationally recognized parameter of roughness is Ra and is defined as

the arithmetic average deviation of the surface from a mean line or centreline.

The above three-dimensional geometrical model of the real surface roughness will be mapped

on a numerical mesh and using boundary conditions accordingly a 3D CFD model will be

created. Using the CFD model the pressure loss along the actual rough test surface will be

determined and compared to results which were obtained with the application of

• a hydraulically smooth surface

• a surface with an equivalent sand roughness varying the grain size

As a result of the investigations an equivalent sand grain roughness size can be derived en-

tirely from roughness geometry for further use with complex geometries.

Step 3:

In step 3 a three-dimensional geometrical model representing the complex geometry of the

stator (nozzle ring), rotor (turbine blades) and housing of a real turbine stage of a turbocharger

is mapped on a numerical mesh and simulated under real boundary conditions by using state

of the art CFD tools. The calculation effort of the model as a result of the necessary resolution

of the geometry does not permit taking into consideration the actual roughness of the surface,

so it is necessary to fall back on the model of equivalent sand grain roughness. While doing so

the values of sand grain size determined in step 2 will be used for the CFD model. For com-

parison purposes a simulation case with a hydraulically smooth surface will be calculated as

well. As result of the calculations the influences of surface roughness of the nozzle ring, tur-

bine blades and the housing on the pressure drop over the turbine and with it the turbine effi-

ciency may be evaluated. By means of the last findings an approximation of the changes in

fuel consumption caused by a changed turbine efficiency of the turbocharger can be calcu-

lated.

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3 RESULTS

3.1 Strongly Simplified 2D Model of a Rough Surface

270 mm270 mm

Roughness Profile

0.00.0 0.2

3.6

8.8

10.7

13.3

9.6

8.3

6.7

5.4

14.8

18.4

0.0

5.0

10.0

15.0

20.0

below -2.5mm -2.5mm to -2.0mm -2.0mm to -1.5mm -1.5mm to -1.0mm -1.0mm to -0.5mm -0.5mm to 0.0mm 0.00mm to 0.5mm 0.5mm to 1.0mm 1.0mm to 1.5mm 1.5mm to 2.0mm 2.0mm to 2.5mm 2.5mm to 3.0mm above 3.0mm

Roughness Magnitude [mm]

Freq

uenc

y [%

]

Avarage Value of Roughness Magnitude: 0.424 mm

Fig. 3 Surface roughness profile (see [4])

Fig. 4 Detail of a numerical mesh with mesh adaptation

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Fig. 5 Pressure and velocity distribution; turbulence model: k-ε

Fig. 6 Pressure and velocity distribution; turbulence model: SST

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Fig. 7 Pressure and velocity distribution; turbulence model: SA

Fig. 8 Pressure and velocity distribution published in [4]

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The principal possibilities of the entire mapping of a rough surface on a numerical mesh and a

simulation with modern CFD solvers were examined in a two-dimensional model. Fig. 3

shows the enlargement of a representative sectional view of a rough surface and the statistical

distribution of the roughness. A detail of the numerical mesh is drawn in Fig. 4. With the help

of the scale the refinement (high resolution) of the grid used can be read. Simulation calcula-

tions with different turbulence models were carried out. Fig. 5 to 7 show the velocity and

pressure distributions in the vicinity of the test case for the following turbulence models:

• k-ε Fig. 5,

• SST Fig. 6,

• S-A Fig. 7.

After analysis of the calculations carried out and comparison of the skin friction coefficients

to results which were taken from available literature (see Fig. 8), the Spallart-Allmaras (S-A)

turbulence model proved to be suitable for use with further investigations of rough surfaces.

3.2 Simplified 3D Model of a Rough Surface

Boundary Conditions:Inlet - velocity: 10 m/sOutlet - pressure: 0 PaBottom - wall: smooth / rough surfaceAll other sidesof the fluid domain: symmetry b. c.

Inlet

Outlet

Wall (hydraulically smooth)Rough Surface

Wall (hydraulically smooth)

Inlet

Outlet

Wall (hydraulically smooth)Rough Surface

Wall (hydraulically smooth)

Fig. 9 Simplified 3D model of a rough surface; geometry and boundary conditions

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Numerical mesh (detail)Roughness profile Height max = 2.8 mmHeight min = 0.0 mmHeight average = 1.4 mm

Fig. 10 Simplified 3D model of a rough surface; roughness profile and mesh detail

∆p(inlet-outlet) = 16 Pa

Fig. 11 Pressure and velocity distribution; surface: hydraulically smooth; turbulence model: SST

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∆p(inlet-outlet) = 36.5 Pa

Skin friction coefficient( )25.0/ ∞⋅= uc wf δτ

cf = 0.0076

Skin friction coefficient( )25.0/ ∞⋅= uc wf δτ

cf = 0.0076

Fig. 12 Pressure and velocity distribution; surface: actual roughness distribution; turbulence model: SA

∆p(inlet-outlet) = 36.3 PaEquivalent sand roughness: 2.59 mm

Fig. 13 Pressure and velocity distribution; surface: equivalent sand roughness; turbulence model: SA

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In the second step the flow conditions were investigated with the help of a 3D CFD model

taking in consideration a real rough surface as well as a hydraulically smooth surface. Fur-

thermore CFD simulations with equivalent sand roughness on the test surface were carried

out. The geometry of the test bed and the boundary conditions used for the calculations are

shown in Fig. 9. Fig. 10 gives a view of the roughness profile and a detail of the numerical

mesh.

The following test conditions were simulated:

a) simulation of the hydraulically smooth surface

b) simulation of the real rough surface

c) simulation of the test surface with equivalent sand roughness

Fig. 11 to 13 illustrate the pressure and velocity distribution for the above mentioned test

cases and give information about the pressure loss and skin friction coefficient.

For case a) a pressure loss of Δpsmooth = 16.0 Pa was calculated and for case b) a loss of Δprough

= 36.5 Pa.

For case c) the parameter “equivalent sand roughness” was estimated in such a way that the

pressure loss between inlet and outlet is equal to the pressure loss in case b). So an equivalent

sand roughness of 2.6 mm was chosen for the simulation run to get an approximately identical

pressure loss of 36.3 Pa.

With these results it seems to be feasible to simulate the complex geometry of the turbo-

charger turbine with a CFD solver taking into consideration the influence of the surface

roughness by using the equivalent sand roughness approach. The exact resolution of the sur-

face roughness in combination with the complex geometry of a turbocharger turbine would

result in a size of numerical mesh which could not be handled with reasonable effort in engi-

neering calculations at present.

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3.3 Fully 3D Model of the Turbine of a Turbocharger

Stator

Rotor

Full geometry: - 24 stator blades- 39 rotor blades- ra_Stator = 300 mm- ri_Stator = 195 mm

ω

Source of the geometry and boundary conditions: ABB Turbo Systems AG CH-5401 Baden/Switzerland

Fig. 14 Geometry of the turbine of a characteristic turbocharger based on information by ABB Turbo Systems AG CH-5401 Baden/Switzerland

Inlet

OutletRotor

Stator

Inlet

OutletOutletRotor

Stator

Boundary conditions: - Inlet : 4·105 Pa - Outlet: 19.8 kg/s- nRotor: 275 1/s

Fig. 15 Rotor-stator flow model and boundary conditions

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∆ pstat(inlet-outlet) = 307193 Pa ; ∆ ptotal(inlet-outlet) = 291921 Pa

Pressure [Pa] Velocity in Stationary Frame [m/s]

ωω ωωa)

∆ pstat(inlet-outlet) = 347582 Pa ; ∆ ptotal(inlet-outlet) = 322590 Pa

Pressure [Pa] Velocity in Stationary Frame [m/s]

ωω ωωb)

Fig. 16 Pressure and velocity in stationary frame distribution a) surface: hydraulically smooth; turbulence model: transition-model b) surface: deposit height 0.1 mm, sand roughness 2.6 mm; turbulence model: k-ε

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Pressure [Pa]Pressure [Pa]

ωωa)

Pressure [Pa]Pressure [Pa]

ωωb)

Fig. 17 Pressure distribution a) surface: hydraulically smooth; turbulence model: transition-model b) surface: deposit height 0.1 mm, sand roughness 2.6 mm; turbulence model: k-ε

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Velocity in Stationary Frame [m/s]Velocity in Stationary Frame [m/s]

ωωa)

Velocity in Stationary Frame [m/s]Velocity in Stationary Frame [m/s]

ωωb)

Fig. 18 Distribution of velocity in stationary frame a) surface: hydraulically smooth; turbulence model: transition-model b) surface: deposit height 0.1 mm, sand roughness 2.6 mm; turbulence model: k-ε

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In the third investigation step the flow conditions inside a characteristic axial rotor stator tur-

bine were simulated. The CAD data of the turbocharger turbine geometry were placed at

MET’s disposal by ABB Turbo Systems AG. Normal forces (pressure) and shear stresses act

on the turbine blades depending on the geometrical conditions of the turbine housing, Rey-

nolds number and the surface roughness. The simulation geometry consists of a single stator

blade passage and two rotor blade passages. The rotor is modelled as rotating domain; the

stator is stationary attached in space and time. Periodic boundaries are used to allow only a

small section of full geometry to be modelled. Hydraulically smooth as well as rough surfaces

were simulated, whereas the surface roughness was modelled by using the equivalent sand

grain roughness approach.

First of all a numerical mesh of the fluid domain without deposits on the turbine blade sur-

faces was generated and the following 2 different surface roughness conditions were investi-

gated:

case 1: hydraulically smooth surface

case 2: equivalent sand roughness 2.6 mm

In the following the numerical mesh was modified taking into consideration deposits on the

turbine blade surfaces. The following combinations of surface roughness and deposits were

calculated:

case 3: deposit (0.1 mm) + hydraulically smooth surface

case 4: deposit (0.1 mm) + equivalent sand roughness 2.6 mm)

By assuming constant boundary conditions such as constant revolutions per minute and con-

stant mass flow, it can be shown that with growing surface roughness on the turbine blades the

pressure loss between inlet and outlet increases (see Tab. 1).

At the same time with increasing roughness of the blades the isentropic efficiency of the tur-

bine part of the turbo charger decreases. In the range of examination the efficiency loss of the

turbine can be as high as 7.6 %.

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Tab. 1 Pressure loss and isentropic efficiency of the turbine part of a turbo charger for different boundary conditions

Pressure loss Pressure loss Isentropic(total pressure) (static pressure) efficiency

[Pa] [Pa] [-]1 hydraulically smooth 291921 307193.3 0.8872 equivalent sand roughness 2.6 mm 312172 333278.7 0.8223 deposit 0.1 mm 295245 312530.9 0.879

deposit 0.1 mmequivalent sand roughness 2.6 mm

Case Simulation run

0.8114 322590 347581.8

4 SUMMARY / CONCLUSIONS

Within the scope of the present study flow simulations were carried by using state of the art

CFD software with the help of simple geometrical models (flat plate: 2D, 3D) taking into con-

sideration the real roughness as well as the complicated geometry (turbine stage of a turbo-

charger) by means of a model approach for the roughness (equivalent sand grain roughness).

The wall functions of the flow are appropriate when the walls can be considered as hydrauli-

cally smooth. For rough walls, the logarithmic profile still exists, but moves closer to the wall.

The roughness height specified is the equivalent sand grain roughness; this is not exactly

equal to the real roughness height of the surface under consideration. Wall friction depends

not only on roughness height but also on the type of roughness (shape, distribution, etc.);

therefore, the appropriate equivalent sand-grain roughness had to be determined in such a way

that the calculated pressure loss simulating the real rough surface of a flat plate is equal to the

pressure loss using an equivalent sand grain roughness approach. So the results of the 3D

CFD simulations of the flat rough plate were used to determine the necessary parameter of the

roughness height for the sand grain roughness model.

Analysis of the simulations proves the following statements:

• Flow disturbances originate in the area close to the wall.

• Pressure losses due to friction and the additional production of turbulence are irre-

versibly transformed to thermal and sound energy.

• Thus these parts of the energy balance are not available as useful output (drive of the

turbine) any more.

• An additional reduction of the cross-sectional area due to deposits leads to an increase

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in the flow speed in these areas. The losses to be overcome thereby increase as well.

The following example calculation for a 12-cylinder gas engine based on measurements made

by MET demonstrates the influence of the assumed change of turbine efficiency on the fuel

consumption of the engine. Tab. 2 shows the technical data of the engine examined. The

change of effective power vs. the varying turbine efficiency is shown in Fig. 19. Fig. 20 shows

the specific fuel consumption dependence on turbine efficiency. Assuming as a starting point

a turbine efficiency of 0.54, this means a specific fuel consumption of 239.9 g/kWh. If the

efficiency deteriorates by 9 percentage points to 0.45, a specific fuel consumption of

250.0 g/kWh can be expected. This corresponds to an additional fuel consumption compared

with the starting point of 4.21% (see Fig. 21).

Tab. 2 12-Technical data of a 12-cylinder gas engine

Bore diameter D [m] 0.3550Stroke s [m] 0.3810Conrod length l [m] 0.9400Conrod ratio λ [-] 0.2027Piston displacement Vh [m³] 0.0377Cylinder number z 12Revolutions per minute n [rpm] 405

2300.0

2350.0

2400.0

2450.0

2500.0

2550.0

2600.0

2650.0

2700.0

0.45 0.50 0.55 0.60 0.65 0.70 0.75

Turbine Efficiency [-]

Effe

ctiv

e Po

wer

[kW

]

Fig. 19 Effective power of a12-cylinder gas engine as a function of the turbine efficiency

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215.0

220.0

225.0

230.0

235.0

240.0

245.0

250.0

255.0

0.45 0.50 0.55 0.60 0.65 0.70 0.75Turbine Efficiency [-]

Spec

ific

Fuel

Con

sum

ptio

n [g

/kW

h]

Fig. 20 Specific fuel consumption of a12-cylinder gas engine as a function of the turbine effi-ciency

-10.00

-8.00

-6.00

-4.00

-2.00

0.00

2.00

4.00

6.00

0.45 0.50 0.55 0.60 0.65 0.70 0.75

Turbine Efficiency [-]

Rel

ativ

e A

dditi

onal

Fue

l Con

sum

ptio

n [%

]

Fig. 21 Fuel consumption changes due to changes in turbine efficiency

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Fig. 22 Influence of turbocharger efficiency on fuel consumption [5]

For a two-stroke engine the diagram (Fig. 22) shows the dependence of exhaust gas tempera-

ture and specific fuel consumption on the turbocharger efficiency (not to be confused with the

turbine efficiency). For the relationship between turbine efficiency (ηT) and turbocharger effi-

ciency (ηTC) applies:

ηT = ηisT · ηmTC = ηisT · ηmT · ηmC ηisT isentropic turbine efficiency ηmTC mechanical turbocharger efficiency ηmT mechanical turbine efficiency ηmC mechanical compressor efficiency

ηTC = ηisC · ηT ηTC turbocharger efficiency ηisC isentropic efficiency of the compressor stage

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Starting at the design point (64%) a turbocharger efficiency improvement of 8 percentage

points and a deterioration of 4 percentage points is assumed. It can be stated that with the two-

stroke engine lower turbocharger efficiency leads to an increase in the fuel consumption of the

engine. According to [5] the following approximation is valid in the vicinity of the design

point: 3% change of turbocharger efficiency corresponds to a fuel consumption change of

1 g/kWh and with it a change in the thermal efficiency of the engine of 0.5%. It is notable that

the curve for the specific fuel consumption (SFOC) shows a stronger increase with deteriora-

tion in the turbine efficiency, than the decrease of the curve corresponding to increased turbo-

charger efficiency. This allows the conclusion that a deterioration in turbine efficiency and

with it of turbocharger efficiency leads to a more rapid increase in fuel consumption than the

potential fuel saving resulting from an improvement in turbocharger efficiency.

Taking into consideration the physical relations accordingly an alteration of the efficiency of

the complete exhaust gas turbocharger of about 3% corresponds potentially to a change in

turbine efficiency of about 2.5%. This means that by CFD simulation calculated deterioration

of the turbine efficiency of about 7.6% in a typical turbine (see Tab. 1) entails a potential dete-

rioration of the specific fuel consumption of about 3 g/kWh.

Using as an example a RTA96 engine with mean specific fuel consumption of 172 g/kWh this

signifies an additional fuel consumption of 1.75%.

It should be noted in assessing this statement that as a basis for the calculations only very

small deposits (0.1 mm) were assumed. However, practical observations show that the depos-

its are clearly actually thicker than 0.1 mm (see Fig. 1, Fig. 2).

Real deposits change the geometry of the flow space considerably and high levels of rough-

ness lead to significantly higher losses, which in turn result in additional fuel consumption

clearly higher than calculated in the rough estimation stated above.

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REFERENCES

[1] Wang,Z.J., Chi,X.K., Shih,T., Bons,J.: Direct Simulation of Surface Roughness Effects

with RANS and DES Approaches on Viscous Adaptive Grids. AIAA Paper No. 2004-

2420. American Institute of Aeronautics and Astronautics, 2004.

[2] Jensen, J.W, Bons, J.P., Fletcher, T.H, & Squire, S.W.: Simulated Land Based Turbine

Deposits Generated in an Accelerated Deposition Facility. ASME Turbo EXPO 2004 June

14-17, 2004 Vienna, Austria.

[3] Bons, J.P et. al.: Turbine Surface Degradation with Service and Its Effects on Perform-

ance. Final Report. Department of Mechanical Engineering, Brigham Young University,

2005.

[4] James E. Wammack: Evolution of Turbine Blade Deposits in an Accelerated Deposition

Facility: Roughness and Thermal Analysis. Master Thesis. Department of Mechanical En-

gineering, Brigham Young University, 2005.

[5] Bucher, H.: Technische Ausführungen von Turbocompoundsystemen. 7. Aufladetechni-

sche Konferenz. Dresden, 2000,