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Performance evaluation of air ejectors using artificial neural network approach

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Abstract

Ejectors are implemented in energy conservation applications such as power and refrigeration systems and fuel cell stacks due to their passive nature and geometrical simplicity. Ejectors work on the principle of thermal compression that utilizes low-grade energy to produce a compression effect. A low-enthalpy secondary fluid gets compressed through gasdynamic interactions with a co-flowing high-enthalpy primary flow in ejectors. The aerodynamic choking of the secondary flow within an ejector leads to two modes of ejector operation: (a) critical flow regime and (b) mixed flow regime. Several low-fidelity models for analyzing ejectors have been proposed in the literature. These models are adequate for the rapid design of specific categories of ejectors. However, they yield notable deviations of 20-25% with experimental measurements for different operating conditions. On the other hand, computational fluid dynamics (CFD) simulations for ejectors are computationally expensive. Furthermore, they require a careful selection of numerical solvers and turbulence models to predict performance and flow characteristics accurately. This paper presents a data-driven artificial neural network (ANN) model to predict the critical parameters of supersonic ejectors. The model is trained using experimental measurement for air ejectors at various operating and geometrical parameters. The ANN model consists of five input parameters, representing operating and geometrical parameters of ejectors to estimate two output parameters: (a) entrainment ratio and (b) operating regime. The trained ANN model predicts the entrainment ratio with a maximum deviation of about 7% and classifies the ejector operational mode with an accuracy of 100%.

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Abbreviations

A:

Area (m\( ^{2} \))

\( C_{d} \) :

Discharge coefficient

\( \gamma \) :

Specific heat ratio

L/H:

Mixing duct length to height ratio

\( \dot{m} \) :

mass flow rate (kg/s)

\( \mu \) :

Mean

\( P_{o} \) :

Stagnation pressure

R:

Characteristics gas constant (8314 J/kg K)

\( \sigma \) :

Standard deviation

\( T_{o} \) :

Stagnation temperature

W:

Weight associated with neurons in ANN

ANN:

Artificial neural network

AR:

Area ratio

CF:

Confusion matrix

CFD:

Computational fluid dynamics

CR:

compression ratio

ER:

Entrainment ratio

MDL:

Mixing duct length

NAR:

Nozzle area ratio

OR:

Operating regime

ReLU:

Rectified linear unit

RMSE:

Root mean square error

SPR:

Stagnation pressure ratio

e:

Exit flow

p:

Primary flow

s:

Secondary flow

References

  1. Kumar AR and Gopalapillai R 2018 Physics of vacuum generation in zero-secondary flow ejectors. Physics of Fluids, 30(6): 066102

    Article  Google Scholar 

  2. Besagni G, Mereu R and Inzoli F 2016 Ejector refrigeration: A comprehensive review. Renewable and Sustainable Energy Reviews, 53: 373–407

    Article  Google Scholar 

  3. Padilla R V, Too Y C S, Benito R, McNaughton R and Stein W 2016 Thermodynamic feasibility of alternative supercritical CO\(_{2}\) brayton cycles integrated with an ejector. Applied energy, 169: 49–62

    Article  Google Scholar 

  4. Rao S M V and Jagadeesh G 2010 Vector evaluated particle swarm optimization (VEPSO) of supersonic ejector for hydrogen fuel cells. Journal of Fuel Cell Science and Technology, 7(4)

  5. Alperin M and Wu J J 1983 Thrust augmenting ejectors, Part I. AIAA J., 21(10): 1428–1436

    Article  Google Scholar 

  6. Shi L, Zhao G, Yang Y, Gao D, Qin F, Wei X and He G 2019 Research progress on ejector mode of rocket-based combined-cycle engines. Progress in Aerospace Sciences, 107: 30–62

    Article  Google Scholar 

  7. Lord W, Jones C, Stern A and Krejsa V, Headand E 1990 Mixer-ejector nozzle for jet noise suppression. In: 26th Joint Propulsion Conference, page 1909

  8. Rao S M V and Jagadees G 2009 Aerodynamic design of supersonic ejectors for wind tunnel applications. In: National Conference on Wind Tunnel Testing, 2: 6

  9. Kracík J, Dvořák V, and Kolář J 2014 Development of air to air ejector for supersonic wind tunnel. In: EPJ Web of Conferences, volume 67, page 02059. EDP Sciences

  10. Gupta P, Rao SMV and Kumar P 2019 Experimental investigations on mixing characteristics in the critical regime of a low-area ratio supersonic ejector. Physics of Fluids, 31(2): 026101

    Article  Google Scholar 

  11. Karthick S K, Rao S M V, Jagadeesh G and Reddy K P J 2018 Experimental parametric studies on the performance and mixing characteristics of a low area ratio rectangular supersonic gaseous ejector by varying the secondary flow rate. Energy, 161: 832–845

    Article  Google Scholar 

  12. Kumar K, Gupta H K and Kumar P 2020 Analysis of a hybrid transcritical co2 vapor compression and vapor ejector refrigeration system.Applied Thermal Engineering, 181: 115945

    Article  Google Scholar 

  13. Chunnanond K, Satha S and Aphornratana 2004 An experimental investigation of a steam ejector refrigerator: the analysis of the pressure profile along the ejector. Appl. Therm. Eng., 24(2-3): 311–322

  14. Keenan J H and Neumann E P 1942 A simple air ejector Journal of Applied Mechanics, 64: 75–84

    Article  Google Scholar 

  15. Keenan J H, Neumann E P and Lustwerk F 1950 An investigation of ejector design by analysis and experiment.J. Appl. Mech., pages 299–317: 1950

  16. Fabri J and Siestrunck R 1958 Supersonic air ejectors. Advances in applied mechanics, 5: pp.1-34

    Article  MATH  Google Scholar 

  17. Huang B J, Chang J M, Wang C P and Petrenko V A 1999 A 1-D analysis of ejector performance. International Journal of Refrigeration, 22(5): 354–364

    Article  Google Scholar 

  18. Lamberts O, Chatelain P and Bartosiewicz Y 2018 Numerical and experimental evidence of the fabri-choking in a supersonic ejector. International Journal of Heat and Fluid Flow, 69: 194–209

    Article  Google Scholar 

  19. Gupta P, Kumar P and Rao S M V 2022 newblock Artificial neural network model for single-phase real gas ejectors. Applied Thermal Engineering, 201: 117615

    Article  Google Scholar 

  20. Gupta P, Kumar P and Rao S M V Artificial neural network based shape optimization of supersonic ejectors in the critical flow regime.Available at SSRN 4054176.

  21. Chen W, Chong D, Yan J and Liu J 2013 The numerical analysis of the effect of geometrical factors on natural gas ejector performance. Applied Thermal Engineering, 59(1-2): 21–29

    Article  Google Scholar 

  22. Varga S, Oliveira A C, and Diaconu B 2009 Influence of geometrical factors on steam ejector performance–A numerical assessment. Int. J. Refrig., 32(7): 1694–1701

    Article  Google Scholar 

  23. Gupta P, Rao S M V and Kumar P 2019 Effect of mixing duct geometry of supersonic ejector in the critical flow regime. In: Proceedings of the 32nd International Symposium of Shock Wave July 14–19, NUS Singapore, Singapore

  24. Hemidi A, Henry F, Leclaire S, Seynhaeve J M, and Bartosiewicz Y 2009 CFD analysis of a supersonic air ejector. Part I: Experimental validation of single-phase and two-phase operation. Appl. Therm. Eng., 29(8-9): 1523–1531

  25. Bartosiewicz Y, Aidoun Z, Desevaux P and Mercadier Y 2005 Numerical and experimental investigations on supersonic ejectors.International Journal of Heat and Fluid Flow, 26(1): 56–70

    Article  Google Scholar 

  26. Gupta P, Rao S M V and Kumar P 2021 Numerical studies of a supersonic air ejector using large eddy simulation. In: Proceedings of the 26thNational and 4th International ISHMT-ASTFE Heat and Mass Transfer Conference December 17–20, 2021, IIT Madras, Chennai-600036, Tamil Nadu, India. Begel House Inc., 2021

  27. Croquer S, Lamberts O, Poncet S, Moreau S and Bartosiewicz Y 2022 Large eddy simulation of a supersonic air ejector. Appl. Therm. Eng., 209: 118177

    Article  Google Scholar 

  28. Bouhanguel A, Desevaux P and Gavignet E 2015 Visualization of flow instabilities in supersonic ejectors using Large Eddy Simulation. J. Vis., 18(1): 17–19

    Article  Google Scholar 

  29. Sözen A and Akçayol M A 2004 Modelling (using artificial neural networks) the performance parameters of a solar-driven ejector-absorption cycle. Appl. Energy, 79(3):309–325, 2004

  30. Kalogirou S A 2001 Artificial neural networks in renewable energy systems applications: A review. Renew. Sustain. Energy Rev., 5(4): 373–401

    Article  Google Scholar 

  31. Sözen A, Arcakliolu E and Özalp M 2003 A new approach to thermodynamic analysis of ejector–absorption cycle: Artificial Neural Networks. Appl. Therm. Eng., 23(8): 937–952

    Article  Google Scholar 

  32. Rashidi M M and Raoofi A, Aghagoliand R 2017 Thermodynamic analysis of the ejector refrigeration cycle using the artificial neural network. Energy, 129: 201–215

    Article  Google Scholar 

  33. Haoran C and Wenjian C 2014 Artificial neural network modeling for variable area ratio ejector. In: 2014 9th IEEE Conference on Industrial Electronics and Applications, pages 220–225. IEEE

  34. Rusly E, Aye L, Charters W W S and Ooi A 2005 CFD analysis of ejector in a combined ejector cooling system. Int. J. Refrig., 28(7): 1092–1101

    Article  Google Scholar 

  35. Lee M S, Lee H, Hwang Y, Radermacher R, and Jeong HM 2016 Optimization of two-phase r600a ejector geometries using a non-equilibrium cfd model. Appl. Therm. Eng., 109: 272–282

    Article  Google Scholar 

  36. Chollet E 2021 Deep learning with Python. Simon and Schuster

    Google Scholar 

  37. Brownlee J 2016 Deep learning with Python: develop deep learning models on Theano and TensorFlow using Keras. Machine Learning Mastery

  38. Al-Masri A 2019 How does back-propagation in Artificial Neural Networks work. Towards Data Science

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Acknowledgements

The authors acknowledge the funding received from IISc Startup Grant, and DST for the Project.

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Correspondence to Pradeep Gupta.

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Gupta, P., Rao, S.M.V. & Kumar, P. Performance evaluation of air ejectors using artificial neural network approach. Sādhanā 48, 45 (2023). https://doi.org/10.1007/s12046-023-02087-2

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  • DOI: https://doi.org/10.1007/s12046-023-02087-2

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