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Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING 
17 – 19, July 2014, Mysore, Karnataka, India 
AND TECHNOLOGY (IJMET) 
ISSN 0976 – 6340 (Print) 
ISSN 0976 – 6359 (Online) 
Volume 5, Issue 9, September (2014), pp. 101-108 
© IAEME: www.iaeme.com/IJMET.asp 
Journal Impact Factor (2014): 7.5377 (Calculated by GISI) 
www.jifactor.com 
101 
 
IJMET 
© I A E M E 
CFD ANALYSIS IN AN EJECTOR OF GAS TURBINE ENGINE TEST BED 
Nagesha S1, Vimala Narayanan2, S. Ganesan3, K. S.Shashishekar 4 
1Project Trainee, DRDO, GTRE, Bangalore/M.Tech, SIT, Tumkur 
2Scientist ‘G’, DRDO, GTRE, Bangalore 
3Scientist ‘F’, DRDO, GTRE, Bangalore 
4Professor, SIT, Tumkur 
ABSTRACT 
An Ejector system has been used to provide high mass flow to the aero-gas turbine engine in a ground test bed 
facility. CFD method has been used to determine the performance of the ejector with and without a debris guard. In the 
first case of flow analyses without debris guard in the ejector, the back pressure was reduced to an extent to know the 
entrainment ratio. It was found that a pressure of 0.1 bar is required to attain this condition called double choking of the 
ejector. Further analysis was carried out for a back pressure of 0.9 bar with debris guard. Total pressure loss of 8.56% 
was found across the debris guard. Also the mass flow through the ejector has reduced by 15% due to debris guard. 
Keywords: Ejector, Debris guard, Entrainment ratio. 
NOMENCLATURE 
p - Primary mass flow rate,Kg/s 
s - Secondary mass flow rate, kg/s 
Pg - inlet stagnant pressure, Pa 
Tg - inlet temperature, K 
At - nozzle throat area, m2 
R - universal gas constant, kJ/kg-k 
p - isentropic co efficiency of nozzle 
P0 - Total pressure, bar 
T0 - Total temperature, K 
P - Static pressure, bar 
g - ratio of specific heat 
R – universal gas constant, J/kg-k 
1. INTRODUCTION 
Gas Turbine engines are used for land, water, and air applications. The aero version of gas turbine engines are 
the power plant for civil and military aircrafts which operates successfully from zero to Mach number 2 at an altitude of 
zero to 20 km range. The performance of the aero engines is obtained by testing the engines in ground, altitude and flying 
test beds. Generally, ground test bed simulates the normal aspirated conditions. The altitude test bed simulates the flow 
conditions (pressure and temperature) of various altitudes ahead of engine to be tested.
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
102 
 
Figure 1 shows the components of a typical ejector system. A high pressure fluid is passed through primary duct 
which has a convergent divergent nozzle. This high velocity, low static pressure jet induces a secondary flow from the 
secondary duct which is open to the atmosphere and accelerates it in the direction of driving jet. The primary high 
pressure fluid and sucked secondary air flow combine in the mixing duct, which is generally a constant area duct. The 
kinetic energy of mixed flow is reduced in the diffuser located at end of mixing duct. This high mass flow enters the 
engine via a bellmouth located after diffuser. 
Fig 1: Ejector Layout 
Keenan and Neumann [1] have explained the basic concept of ejector based on 1-D analytical approach. BJ 
Huang et al [2] explained the effect of back pressure on the entrainment ratio. It is found that the ejector performs better 
at critical mode in order to obtain a better efficiency. A critical mode in ejector is obtained when the primary and 
entrained flow is choked and entrainment ratio becomes constant. At sub critical mode only primary flow is choked and 
entrainment ratio by changing back pressure. T Sriveerakul [3] in his paper has explained the ejector performance by 
varying the primary fluid properties and geometries. 
Wojciech Sobieski [4] has studied the ejector flow using numerical modelling by using commercial code Fluent 
with various turbulence models and compared the results with the experiments. S Gurulingam [5] has also used 
numerical method to determine performance of ejector using irreversibility characteristics. He increased the efficiency of 
ejector by reducing the losses based on minimization of entropy method. This is achieved by forcing the propelled steam 
through a blower. 
Jocob Kenneth Cornman [6] has published the CFD optimization of small gas ejectors used in navy diving 
system. Optimization of small gas ejector is typically carried out by selecting single set of operating conditions and 
optimizing the geometry for the specified condition. Pierre van Eeden et al [7] have derived the correlation for ejector 
efficiency with an accuracy of ±2% using commercial CFD simulation software. 
The objectives of present study is to predict the behaviour of flow and mixing process in the ejector of the gas 
turbine engine ground test bed using with and without debris guard in the ejector. The CFD analysis has been carried out 
using a commercial CFD package ANSYS FLUENT [8]. The entrainment ratio and pressure drop across the debris guard 
of the ejector with varying back pressure of ejector has been determined. 
2. EJECTOR CONFIGURATION 
Figure 2 shows the ejector configuration considered for the present analysis. 
Fig.2: Ejector Geometry
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
103 
 
This configuration has primary and secondary duct. The primary duct has a convergent divergent nozzle. The 
other components of the ejector are constant area mixing duct, diffuser, straight duct and the intake duct of engine. 
3. COMPUTATIONAL DETAILS 
3.1 Grid generation 
A 3D hybrid (combination of structured and unstructured) grid of six million elements is generated using 
GAMBIT software [9], pre-processor of the ANSYS FLUENT software. While generating the grid, it is ensured that the 
aspect ratio and skewness are in the required range. The aspect ratio is in the range of 5 to 60 and skewness is found to be 
in the range of 0.01 to 0.9 (skewness close to 1 indicates bad grid quality). The skewness of 0.9 is found near the 
convergent region of nozzle due to large convergent angle. Figure 3 shows the cross sectional view of the computational 
grid of the ejector. The exploded view of the grid near the convergent divergent nozzle is shown in Figure 4. 
Fig 3: Grid of the Ejector 
Fig 4: Close View of the Grid Near the Nozzle 
3.2 Boundary conditions 
The boundary conditions used for the ejector configuration are as follow:- 
Primary duct inlet : Total pressure and supersonic gauge pressure is specified at the primary inlet ,along with 
total temperature and hydraulic diameter 
Secondary duct inlet : Total pressure and supersonic gauge pressure is specified at the secondary inlet along with 
total temperature and hydraulic diameter 
Outlet: Static pressure and temperature are specified at the outlet of ejector. 
Wall: All faces enclosing the flow are defined as walls. Adiabatic no-slip boundary condition has been applied. 
The computations for the fluid flow in the ejector were performed using the commercial solver ANSYS 
FLUENT 14.5. A 3-Dimensional compressible N-S equation mode of computer code has been used. Realizable k- 
turbulence model combined with standard wall function has been chosen. 
The grid has been chosen based on the grid independence studies performed using grids with 4.2, 6 and 7.8 
million cells. The fluid is considered to be compressible. To reduce the numerical errors, a second order volume 
discretization scheme was used. The SIMPLE algorithm was used for pressure-velocity coupling in the computations. All 
predicted quantities were steady state. The minimum convergence criteria for the continuity equation, velocity and 
turbulence quantities are 10–6. The outlet pressures as well as the mass flow rate at the outlet of the ejector section were 
carefully monitored as the computation convergence criteria.
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
104 
 
3.3 Debris guard 
Debris guard is a perforated hemispherical component which is located ahead of the intake duct of engine. The 
air passes through this mesh like structure. This mesh is considered as porous material to carry out flow analysis in the 
ejector. The porosity of the debris guard is found to be 0.8. The porous model of the FLUENT computer code is used to 
simulate the debris guard. The inertial resistance and viscous resistance used to simulate the porous model is tabulated in 
Table 1. 
Table 1: Inertial resistance and viscous resistance 
Inertial resistance viscous resistance 
Direction 1 3.4 2.238. 10 -5 
Direction 2 34000 2.238. 10 -5 
Direction 3 34000 2.238. 10 -5 
4. PROCEDURE AND CALCULATION 
In the present study, the ejector analysis has been carried out in two parts 
Case I: Ejector without debris guard: There are four analyses carried out by varying outlet pressure of the ejector as 
shown in Table 2. 
Table -2: Input Data 
Primary inlet Secondary inlet Outlet 
Case I 
P0, bar T0, K P0,Bar T0, K P, Bar T0, K 
I) 10 411 0.9098 300 0.9 300 
ii) 10 411 0.9098 300 0.6 300 
iii) 10 411 0.9098 300 0.3 300 
iv) 10 411 0.9098 300 0.1 300 
Case II: Ejector with debris guard 
Ejector flow analysis has been carried out for one operating condition as given in Table 3. 
Table -3: Input data 
Primary inlet Secondary inlet outlet 
Case II 
P0, bar T0, K P0,Bar Case II P0, bar T0, K 
I) 10 411 0.9098 I) 10 411 
The following performance parameters have been determined from the analyses. 
4.1 Primary flow through nozzle 
For a given inlet stagnant pressure Pg and temperature Tg, the mass flow through the nozzle at choking condition 
is given by the following gas dynamic equation
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
The above equation gives the mass flow passing through primary duct. 
4.2 Total pressure loss 
Total pressure loss across debris guard is calculated by following formula 
Back pressure 0.9 bar 
Back pressure 0.6 bar 
Back pressure 0.3 bar 
Back pressure 0.1 bar 
105 
 
…………. (2) 
4.3 Entrainment ratio (E.R) 
Entrainment ratio is defined as ratio of primary mass flow rate to the secondary mass flow rate. 
ER = M (PRY.DUCT)/ M(SEC.DUCT) ...................(3) 
5. RESULTS AND DISCUSSION 
5.1 Ejector flow analysis – CASE I 
The ejector analyses have been carried out for a fixed primary inlet pressure and varying the outlet back 
pressure. Figure 5 shows the Mach number distribution in Case I (a) to (d). It can be observed that the flow in the 
Convergent-divergent nozzle accelerates to Mach number of 3.1. The secondary air flow mixes with the primary air in 
the mixing and straight ducts. The exit Mach number increases as the back pressure has been reduced. It attains a Mach 
number of 0.4, 0.65, 0.8 and 1.0 respectively. 
It can be observed that the Mach number at the convergent divergent nozzle and the ejector exit region have 
Mach number more than 1.0 in Case-I(d) condition. This is a special case of double choking found in the ejector. The 
entrainment of the secondary mass flow rate cannot be increased beyond this back pressure. 
Mach 
Fig 5: Mach number distribution for Case I Condition
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
The static pressure distribution in all four cases has been shown in Figure 6 (a to d) for all the cases. 
106 
 
Static 
pressure 
(N/m2) 
a) Back pressure 0.9 bar 
b) Back pressure 0.6 bar 
c) Back pressure 0.3 bar 
d) Back pressure 0.1 bar 
Fig 6: Static pressure distribution for case i 
Table 4 shows the mass flows determined for all four conditions. It can be observed that the mass flow rate at 
the exit of ejector has been decreasing. 
Table 4: Mass flows in ejector-case I 
Back pressure, bar Primary mass flow rate, kg/s Secondary mass flow rate, kg/s Outlet mass flow rate kg/s 
0.9 18.01 45.41 63.42 
0.6 18.01 56.29 74.3 
0.3 18.01 60.01 78.01 
0.1 18.01 62.53 81.46 
Table 5 shows the entrainment ratio determined for the above conditions. 
Table 5: Entrainment ratio 
Back pressure, bar Entrainment ratio 
0.9 0.40 
0.6 0.32 
0.3 0.30 
0.1 0.29
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
107 
5.2 Ejector flow analysis with debris guard CASE II 
 
The ejector with debris guard condition is analysed by treating debris guard as porous material and appying 
suitable porous model across debris guard 
Figure 7 shows the Mach number distribution in Case II. It can be observed that the convergent divergent nozzle 
exit plane has a Mach number of 3.1. Figure 8 and 9 show the static pressure and total pressure distribution along the 
ejector. It can be seen that there is a large difference in total pressure near the debris guard. The flow faces an obstruction 
of debris guard and hence velocity vectors reduce at the exit plane of duct. 
Mach 
Fig 7: Mach number distribution for case II condition 
Static pressure (N/m2) 
Fig 8: Static pressure distribution for 
Case II 
Total Pressure (N/m2) 
Fig 9: Total pressure distribution for case II 
Mass flows passing through the ejector is shown in Table 6. As compared to the mass flows in Table 4, the 
secondary mass flow has become less for a constant primary flow of 18.01 kg/s. The secondary mass flows have 
decreased from 45.41 kg/s to 36.07 kg/s.
Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 
17 – 19, July 2014, Mysore, Karnataka, India 
108 
 
Table 6: Mass flows in ejector Case II 
Back 
pressure, bar 
Primary 
mass 
flow, kg/s 
Secondary 
mass flow 
(kg/s) 
Outlet, 
Kg/s 
0.9 18.01 36.07 54.08 
Table 7 shows the mass flow entrainment and the total pressure loss across the debris guard. The entrainment 
ratio has become 0.5 from 0.4. 
Table 7: Entrainment ratio 
Back pressure, bar Entrainment ratio Pressure loss (%) 
0.9 0.50 8.56 
6. CONCLUSIONS 
In the present study, the ejector flow analyses have been carried out with and wihtout debris guard using 
ANSYS FLUENT software. The ejector flow without debris guard has been analysed for four back pressures to 
determine the double choking condition of the ejector. 
The ejector flow with debris guard has been analysed using porous model approach. It was found that the 
entrainment ratio has increased for the case with debris guard as compared to case wihtout debris guard for the back 
presuure of 0.9 bar. There is a total pressure loss of 8.56% found due to the debris guard which reduces the ejector mass 
flow from 45.41 kg/s to 36.07 kg/s. 
ACKNOWLEDGEMENT 
The authors would like to thank Dr. C P Ramanarayanan, Director, GTRE, Bangalore for giving permission to 
publish the paper. The authors acknowledge the help rendered by Mr. Gaarthick and Mr. Sanjay, Apprentices for creating 
the model and grid of the geometry. 
REFERENCES 
[1] Keenan J.H. and Neuman, “An investigation of ejector design by anlysis and experiment” Massachusetts 
institute of technology,1948. 
[2] B.J Huang, J.M. Chang, C.P Wang, “1-D analysis of ejector performance” International Journal of 
Refrigeration 22 (1999) 354-364. 
[3] T. Sriveerakul, S. Aphornratana, K. Chunnanond, “Flow structure of steam ejector influenced by operating 
pressure and geometries” International Journal of Thermal Science 46, (2007) 823-833. 
[4] Wojciech Sobieski, “Performance of air-air ejector,an attempt at numerical modeling” TASK QUARTERLY- 7 
No 3, (2003) 449-457. 
[5] S.Gurulingam, A.Kaisselvane, N.Algumurthy. “Numerical study of performance improvement of jet ejector” 
IJERA, vol.2 December 2012, pp 1650-1653. 
[6] Jocob Kenneth Corman, “Optimization of small gas ejector used in navy diving system” Duke university,2012. 
[7] Pierre van Eeden and Dario Ercolani, “A method for prediction of gas/gas ejector performance” Impiantistica 
Italiana, 2013. 
[8] Fluent User’s Guide, v. 14.5, 2013 
[9] Gambit User’s Guide V. 2.4.6, 2008

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Cfd analysis in an ejector of gas turbine engine test bed

  • 1. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING 17 – 19, July 2014, Mysore, Karnataka, India AND TECHNOLOGY (IJMET) ISSN 0976 – 6340 (Print) ISSN 0976 – 6359 (Online) Volume 5, Issue 9, September (2014), pp. 101-108 © IAEME: www.iaeme.com/IJMET.asp Journal Impact Factor (2014): 7.5377 (Calculated by GISI) www.jifactor.com 101 IJMET © I A E M E CFD ANALYSIS IN AN EJECTOR OF GAS TURBINE ENGINE TEST BED Nagesha S1, Vimala Narayanan2, S. Ganesan3, K. S.Shashishekar 4 1Project Trainee, DRDO, GTRE, Bangalore/M.Tech, SIT, Tumkur 2Scientist ‘G’, DRDO, GTRE, Bangalore 3Scientist ‘F’, DRDO, GTRE, Bangalore 4Professor, SIT, Tumkur ABSTRACT An Ejector system has been used to provide high mass flow to the aero-gas turbine engine in a ground test bed facility. CFD method has been used to determine the performance of the ejector with and without a debris guard. In the first case of flow analyses without debris guard in the ejector, the back pressure was reduced to an extent to know the entrainment ratio. It was found that a pressure of 0.1 bar is required to attain this condition called double choking of the ejector. Further analysis was carried out for a back pressure of 0.9 bar with debris guard. Total pressure loss of 8.56% was found across the debris guard. Also the mass flow through the ejector has reduced by 15% due to debris guard. Keywords: Ejector, Debris guard, Entrainment ratio. NOMENCLATURE p - Primary mass flow rate,Kg/s s - Secondary mass flow rate, kg/s Pg - inlet stagnant pressure, Pa Tg - inlet temperature, K At - nozzle throat area, m2 R - universal gas constant, kJ/kg-k p - isentropic co efficiency of nozzle P0 - Total pressure, bar T0 - Total temperature, K P - Static pressure, bar g - ratio of specific heat R – universal gas constant, J/kg-k 1. INTRODUCTION Gas Turbine engines are used for land, water, and air applications. The aero version of gas turbine engines are the power plant for civil and military aircrafts which operates successfully from zero to Mach number 2 at an altitude of zero to 20 km range. The performance of the aero engines is obtained by testing the engines in ground, altitude and flying test beds. Generally, ground test bed simulates the normal aspirated conditions. The altitude test bed simulates the flow conditions (pressure and temperature) of various altitudes ahead of engine to be tested.
  • 2. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India 102 Figure 1 shows the components of a typical ejector system. A high pressure fluid is passed through primary duct which has a convergent divergent nozzle. This high velocity, low static pressure jet induces a secondary flow from the secondary duct which is open to the atmosphere and accelerates it in the direction of driving jet. The primary high pressure fluid and sucked secondary air flow combine in the mixing duct, which is generally a constant area duct. The kinetic energy of mixed flow is reduced in the diffuser located at end of mixing duct. This high mass flow enters the engine via a bellmouth located after diffuser. Fig 1: Ejector Layout Keenan and Neumann [1] have explained the basic concept of ejector based on 1-D analytical approach. BJ Huang et al [2] explained the effect of back pressure on the entrainment ratio. It is found that the ejector performs better at critical mode in order to obtain a better efficiency. A critical mode in ejector is obtained when the primary and entrained flow is choked and entrainment ratio becomes constant. At sub critical mode only primary flow is choked and entrainment ratio by changing back pressure. T Sriveerakul [3] in his paper has explained the ejector performance by varying the primary fluid properties and geometries. Wojciech Sobieski [4] has studied the ejector flow using numerical modelling by using commercial code Fluent with various turbulence models and compared the results with the experiments. S Gurulingam [5] has also used numerical method to determine performance of ejector using irreversibility characteristics. He increased the efficiency of ejector by reducing the losses based on minimization of entropy method. This is achieved by forcing the propelled steam through a blower. Jocob Kenneth Cornman [6] has published the CFD optimization of small gas ejectors used in navy diving system. Optimization of small gas ejector is typically carried out by selecting single set of operating conditions and optimizing the geometry for the specified condition. Pierre van Eeden et al [7] have derived the correlation for ejector efficiency with an accuracy of ±2% using commercial CFD simulation software. The objectives of present study is to predict the behaviour of flow and mixing process in the ejector of the gas turbine engine ground test bed using with and without debris guard in the ejector. The CFD analysis has been carried out using a commercial CFD package ANSYS FLUENT [8]. The entrainment ratio and pressure drop across the debris guard of the ejector with varying back pressure of ejector has been determined. 2. EJECTOR CONFIGURATION Figure 2 shows the ejector configuration considered for the present analysis. Fig.2: Ejector Geometry
  • 3. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India 103 This configuration has primary and secondary duct. The primary duct has a convergent divergent nozzle. The other components of the ejector are constant area mixing duct, diffuser, straight duct and the intake duct of engine. 3. COMPUTATIONAL DETAILS 3.1 Grid generation A 3D hybrid (combination of structured and unstructured) grid of six million elements is generated using GAMBIT software [9], pre-processor of the ANSYS FLUENT software. While generating the grid, it is ensured that the aspect ratio and skewness are in the required range. The aspect ratio is in the range of 5 to 60 and skewness is found to be in the range of 0.01 to 0.9 (skewness close to 1 indicates bad grid quality). The skewness of 0.9 is found near the convergent region of nozzle due to large convergent angle. Figure 3 shows the cross sectional view of the computational grid of the ejector. The exploded view of the grid near the convergent divergent nozzle is shown in Figure 4. Fig 3: Grid of the Ejector Fig 4: Close View of the Grid Near the Nozzle 3.2 Boundary conditions The boundary conditions used for the ejector configuration are as follow:- Primary duct inlet : Total pressure and supersonic gauge pressure is specified at the primary inlet ,along with total temperature and hydraulic diameter Secondary duct inlet : Total pressure and supersonic gauge pressure is specified at the secondary inlet along with total temperature and hydraulic diameter Outlet: Static pressure and temperature are specified at the outlet of ejector. Wall: All faces enclosing the flow are defined as walls. Adiabatic no-slip boundary condition has been applied. The computations for the fluid flow in the ejector were performed using the commercial solver ANSYS FLUENT 14.5. A 3-Dimensional compressible N-S equation mode of computer code has been used. Realizable k- turbulence model combined with standard wall function has been chosen. The grid has been chosen based on the grid independence studies performed using grids with 4.2, 6 and 7.8 million cells. The fluid is considered to be compressible. To reduce the numerical errors, a second order volume discretization scheme was used. The SIMPLE algorithm was used for pressure-velocity coupling in the computations. All predicted quantities were steady state. The minimum convergence criteria for the continuity equation, velocity and turbulence quantities are 10–6. The outlet pressures as well as the mass flow rate at the outlet of the ejector section were carefully monitored as the computation convergence criteria.
  • 4. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India 104 3.3 Debris guard Debris guard is a perforated hemispherical component which is located ahead of the intake duct of engine. The air passes through this mesh like structure. This mesh is considered as porous material to carry out flow analysis in the ejector. The porosity of the debris guard is found to be 0.8. The porous model of the FLUENT computer code is used to simulate the debris guard. The inertial resistance and viscous resistance used to simulate the porous model is tabulated in Table 1. Table 1: Inertial resistance and viscous resistance Inertial resistance viscous resistance Direction 1 3.4 2.238. 10 -5 Direction 2 34000 2.238. 10 -5 Direction 3 34000 2.238. 10 -5 4. PROCEDURE AND CALCULATION In the present study, the ejector analysis has been carried out in two parts Case I: Ejector without debris guard: There are four analyses carried out by varying outlet pressure of the ejector as shown in Table 2. Table -2: Input Data Primary inlet Secondary inlet Outlet Case I P0, bar T0, K P0,Bar T0, K P, Bar T0, K I) 10 411 0.9098 300 0.9 300 ii) 10 411 0.9098 300 0.6 300 iii) 10 411 0.9098 300 0.3 300 iv) 10 411 0.9098 300 0.1 300 Case II: Ejector with debris guard Ejector flow analysis has been carried out for one operating condition as given in Table 3. Table -3: Input data Primary inlet Secondary inlet outlet Case II P0, bar T0, K P0,Bar Case II P0, bar T0, K I) 10 411 0.9098 I) 10 411 The following performance parameters have been determined from the analyses. 4.1 Primary flow through nozzle For a given inlet stagnant pressure Pg and temperature Tg, the mass flow through the nozzle at choking condition is given by the following gas dynamic equation
  • 5. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India The above equation gives the mass flow passing through primary duct. 4.2 Total pressure loss Total pressure loss across debris guard is calculated by following formula Back pressure 0.9 bar Back pressure 0.6 bar Back pressure 0.3 bar Back pressure 0.1 bar 105 …………. (2) 4.3 Entrainment ratio (E.R) Entrainment ratio is defined as ratio of primary mass flow rate to the secondary mass flow rate. ER = M (PRY.DUCT)/ M(SEC.DUCT) ...................(3) 5. RESULTS AND DISCUSSION 5.1 Ejector flow analysis – CASE I The ejector analyses have been carried out for a fixed primary inlet pressure and varying the outlet back pressure. Figure 5 shows the Mach number distribution in Case I (a) to (d). It can be observed that the flow in the Convergent-divergent nozzle accelerates to Mach number of 3.1. The secondary air flow mixes with the primary air in the mixing and straight ducts. The exit Mach number increases as the back pressure has been reduced. It attains a Mach number of 0.4, 0.65, 0.8 and 1.0 respectively. It can be observed that the Mach number at the convergent divergent nozzle and the ejector exit region have Mach number more than 1.0 in Case-I(d) condition. This is a special case of double choking found in the ejector. The entrainment of the secondary mass flow rate cannot be increased beyond this back pressure. Mach Fig 5: Mach number distribution for Case I Condition
  • 6. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India The static pressure distribution in all four cases has been shown in Figure 6 (a to d) for all the cases. 106 Static pressure (N/m2) a) Back pressure 0.9 bar b) Back pressure 0.6 bar c) Back pressure 0.3 bar d) Back pressure 0.1 bar Fig 6: Static pressure distribution for case i Table 4 shows the mass flows determined for all four conditions. It can be observed that the mass flow rate at the exit of ejector has been decreasing. Table 4: Mass flows in ejector-case I Back pressure, bar Primary mass flow rate, kg/s Secondary mass flow rate, kg/s Outlet mass flow rate kg/s 0.9 18.01 45.41 63.42 0.6 18.01 56.29 74.3 0.3 18.01 60.01 78.01 0.1 18.01 62.53 81.46 Table 5 shows the entrainment ratio determined for the above conditions. Table 5: Entrainment ratio Back pressure, bar Entrainment ratio 0.9 0.40 0.6 0.32 0.3 0.30 0.1 0.29
  • 7. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India 107 5.2 Ejector flow analysis with debris guard CASE II The ejector with debris guard condition is analysed by treating debris guard as porous material and appying suitable porous model across debris guard Figure 7 shows the Mach number distribution in Case II. It can be observed that the convergent divergent nozzle exit plane has a Mach number of 3.1. Figure 8 and 9 show the static pressure and total pressure distribution along the ejector. It can be seen that there is a large difference in total pressure near the debris guard. The flow faces an obstruction of debris guard and hence velocity vectors reduce at the exit plane of duct. Mach Fig 7: Mach number distribution for case II condition Static pressure (N/m2) Fig 8: Static pressure distribution for Case II Total Pressure (N/m2) Fig 9: Total pressure distribution for case II Mass flows passing through the ejector is shown in Table 6. As compared to the mass flows in Table 4, the secondary mass flow has become less for a constant primary flow of 18.01 kg/s. The secondary mass flows have decreased from 45.41 kg/s to 36.07 kg/s.
  • 8. Proceedings of the 2nd International Conference on Current Trends in Engineering and Management ICCTEM -2014 17 – 19, July 2014, Mysore, Karnataka, India 108 Table 6: Mass flows in ejector Case II Back pressure, bar Primary mass flow, kg/s Secondary mass flow (kg/s) Outlet, Kg/s 0.9 18.01 36.07 54.08 Table 7 shows the mass flow entrainment and the total pressure loss across the debris guard. The entrainment ratio has become 0.5 from 0.4. Table 7: Entrainment ratio Back pressure, bar Entrainment ratio Pressure loss (%) 0.9 0.50 8.56 6. CONCLUSIONS In the present study, the ejector flow analyses have been carried out with and wihtout debris guard using ANSYS FLUENT software. The ejector flow without debris guard has been analysed for four back pressures to determine the double choking condition of the ejector. The ejector flow with debris guard has been analysed using porous model approach. It was found that the entrainment ratio has increased for the case with debris guard as compared to case wihtout debris guard for the back presuure of 0.9 bar. There is a total pressure loss of 8.56% found due to the debris guard which reduces the ejector mass flow from 45.41 kg/s to 36.07 kg/s. ACKNOWLEDGEMENT The authors would like to thank Dr. C P Ramanarayanan, Director, GTRE, Bangalore for giving permission to publish the paper. The authors acknowledge the help rendered by Mr. Gaarthick and Mr. Sanjay, Apprentices for creating the model and grid of the geometry. REFERENCES [1] Keenan J.H. and Neuman, “An investigation of ejector design by anlysis and experiment” Massachusetts institute of technology,1948. [2] B.J Huang, J.M. Chang, C.P Wang, “1-D analysis of ejector performance” International Journal of Refrigeration 22 (1999) 354-364. [3] T. Sriveerakul, S. Aphornratana, K. Chunnanond, “Flow structure of steam ejector influenced by operating pressure and geometries” International Journal of Thermal Science 46, (2007) 823-833. [4] Wojciech Sobieski, “Performance of air-air ejector,an attempt at numerical modeling” TASK QUARTERLY- 7 No 3, (2003) 449-457. [5] S.Gurulingam, A.Kaisselvane, N.Algumurthy. “Numerical study of performance improvement of jet ejector” IJERA, vol.2 December 2012, pp 1650-1653. [6] Jocob Kenneth Corman, “Optimization of small gas ejector used in navy diving system” Duke university,2012. [7] Pierre van Eeden and Dario Ercolani, “A method for prediction of gas/gas ejector performance” Impiantistica Italiana, 2013. [8] Fluent User’s Guide, v. 14.5, 2013 [9] Gambit User’s Guide V. 2.4.6, 2008