Computational Fluid Dynamics Analysis of Compressible Flow Through a Converging-Diverging Nozzle using the k-ε Turbulence Model
The thrust produced by a rocket motor is mainly dependent upon the expansion of the product gases through a nozzle. The nozzle is used to accelerate the gases produced in the combustion chamber and convert the chemical-potential energy into kinetic energy so that the gases exit the nozzle at very high velocity. It converts the high pressure, high temperature, and low-velocity gas in the combustion chamber into high-velocity gas of lower pressure and low temperature. The design of a nozzle has particular importance in determining the thrust and performance of a rocket. In recent years, it has received considerable attention as it directly impacts the overall performance of the rocket. This paper aims to analyze the variation of flow parameters like pressure, Mach number, and velocity using Finite Volume Method (FVM) solver with the standard k-ε turbulence model in Computational Fluid Dynamics (CFD). The simulation of shockwave inside the divergent nozzle section through CFD is also investigated. In this regard, a nozzle has been designed using Design Modeler, and CFD analysis of flow through the nozzle has been carried out using ANSYS Fluent. The model results are compared with theoretically calculated results, and the difference is negligible.
Keywords:Converging-Diverging (C-D) nozzle, CFD, ANSYS Fluent, shockwave, k-ε turbulence model
V. Jayakumar, S. Madhu, A. Muniappan, A. H. Ansari, S. N. Kumar, “Investigation of thermal characteristics in solid rocket nozzle with insulate using Cad/Cae”, International Journal of Pure and Applied Mathematics, Vol. 119, No. 7, pp. 443-456, 2018
S. Sofyan, V. Wuwung, “RX-320 rocket static pressure combustion chamber prediction and validation by using inverse method”, Jurnal Teknologi Dirgantara, Vol. 16, No. 1, pp. 45-58, 2018 DOI: https://doi.org/10.30536/j.jtd.2018.v16.a2866
N. D. Deshpande, S. S. Vidwans, P. R. Mahale, R. S. Joshi, K. Jagtap, “Theoretical and CFD analysis of de-Laval nozzle”, International Journal of Mechanical and Production Engineering, Vol. 2, No. 4, pp. 33-36, 2014
P. Natta, V. R. Kumar, Y. H. Rao, “Flow analysis of rocket nozzle using computational fluid dynamics (CFD)”, International Journal of Engineering Research and Applications, Vol. 2, No. 5, pp. 1226-1235, 2012
K. M. Pandey, A. P. Singh, “CFD analysis of conical nozzle for mach 3 at various angles of divergence with fluent software”, International Journal of Chemical Engineering and Applications, Vol. 1, No. 2, pp. 179-185, 2010 DOI: https://doi.org/10.7763/IJCEA.2010.V1.31
V. Ramji, R. Mukesh, I. Hasan, “Design and numerical simulation of convergent divergent nozzle”, Applied Mechanics and Materials, Vol. 852, pp. 617-624, 2016 DOI: https://doi.org/10.4028/www.scientific.net/AMM.852.617
M. S. Hossain, M. F. Raiyan, N. H. Jony, “Comparative study of supersonic nozzles”, International Journal of Research in Engineering and Technology, Vol. 3, No. 10, pp. 351-357, 2014 DOI: https://doi.org/10.15623/ijret.2014.0310056
P. Biju Kuttan, M. Sajesh, “Optimization of divergent angle of a rocket engine nozzle using computational fluid dynamics”, The International Journal Of Engineering and Science, Vol. 2, No. 2, pp. 196-207, 2013
G. Mohan Kumar, D. X. Fernando, R. M. Kumar, “Design and optimization of de Lavel nozzle to prevent shock induced flow separation”, Advances in Aerospace Science and Applications, Vol. 3, No. 2, pp. 119-124, 2013
G. Satyanarayana, C. Varun, S. Naidu, “CFD analysis of convergent-divergent nozzle”, Acta Technica Corviniensis-Bulletin of Engineering, Vol. 6, No. 3, pp. 139, 2013
B. V. V. Naga Sudhakar, B. P. C. Sekhar, P. N. Mohan, M. D. Touseef Ahmad, “Modeling and simulation of convergent-divergent nozzle using computational fluid dynamics”, International Research Journal of Engineering and Technology, Vol. 3, No. 8, pp. 346-350, 2016
A. S. Swaroopini, M. G. Kumar, T. N. Kumar, “Numerical simulation and optimization of high-performance supersonic nozzle at different conical angles”, International Journal of Research in Engineering and Technology, Vol. 4, No. 9, pp. 268-273, 2015 DOI: https://doi.org/10.15623/ijret.2015.0409049
M. Ahsan, “Numerical analysis of friction factor for a fully developed turbulent flow using k–ε turbulence model with enhanced wall treatment”, Beni-Suef University Journal of Basic and Applied Sciences, Vol. 3, No. 4, pp. 269-277, 2014 DOI: https://doi.org/10.1016/j.bjbas.2014.12.001
N. A. Najar, D. Dandotiya, F. A. Najar, “Comparative analysis of k-ε and spalart-allmaras turbulence models for compressible flow through a convergent-divergent nozzle”, The International Journal of Engineering and Science, Vol. 2, No. 8, pp. 8-17, 2013
N. Rolander, J. Rambo, Y. Joshi, J. K. Allen, F. Mistree, “An approach to robust design of turbulent convective systems”, Journal of Mechanical Design, Vol. 128, No. 4, pp. 844-855, 2006 DOI: https://doi.org/10.1115/1.2202882
M. Elashmawy, “3D-CFD simulation of confined cross-flow injection process using single piston pump”, Engineering, Technology & Applied Science Research, Vol. 7, No. 6, pp. 2308-2312, 2017 DOI: https://doi.org/10.48084/etasr.1561
K. Pansari, S. A. K. Jilani, “Numerical investigation of the performance of convergent divergent nozzle”, International Journal of Modern Engineering Research, Vol. 3, No. 5, pp. 2662-2666, 2013
A. K. Reji, G. Kumaresan, A. S. Menon, J. Parappadi, A. P. Harikrishna, A. Mukundan, “Simulation and validation of supersonic flow through a convergent-divergent nozzle”, International Journal of Pure and Applied Mathematics, Vol. 119, No. 12, pp. 2135-2142, 2018
M. Elashmawy, A. Alghamdi, I. Badawi, “Investigation of the effect of pipeline size on the cross flow injection process”, Engineering, Technology & Applied Science Research, Vol. 6, No. 3, pp. 1023-1028, 2016 DOI: https://doi.org/10.48084/etasr.727
A. A. Khan, T. R. Shembharkar, “Viscous flow analysis in a convergent-divergent nozzle”, International Journal of Computational Engineering Research, Vol. 3, No. 5, pp. 5-15, 2008
How to Cite
MetricsAbstract Views: 1748
PDF Downloads: 3320
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.