Optimization of inverse-Prandtl of Dissipation in standard k-ε Turbulence Model for Predicting Flow Field of Crossflow Turbine
DOI:
https://doi.org/10.37934/cfdl.14.1.112127Keywords:
Computational fluid dynamics, turbulent flows, turbulence modeling, Reynolds-averaged Navier-stokes, crossflow water turbine, k-ε turbulence modelAbstract
Despite the successful use of the Standard model in simulating turbulent flow for many industrially relevant flows, the model is still less accurate for a range of important problems, such as unconfined flows, curved boundary layers, rotating flows, and recirculating flows. As part of the authors’ effort to extend the model applicability and reliability, this paper aims to study the effects of diffusivity parameter called the turbulent Prandtl number of dissipation rate () on the Standard model performance for predicting recirculating flow in a crossflow water turbine. The value of this parameter was varied from 0.5 to 1.5 in the CFD simulations, and the results were compared to the more sophisticated model, namely the RNG , which has been first qualitatively validated by an experimental result. In addition, the parameter value was also adjusted using the Multi-Linear Regression (MLR) method ranging from 0.42 to 1.5 to complement the CFD simulations. It was observed that reducing the value is effective in minimizing the average deviation of the turbulence properties concerning the RNG model. However, the adjusted model still faces difficulty in accurately predicting the pressure and velocity field. Based on this result, adjusting the constant in the Standard turbulence model has the potential to improve the model performance for modelling recirculating flow in terms of the turbulence properties, but still needs further investigation for the flow properties.
Downloads
References
Goldberg, U. C., D. K. Ota, and S. R. Chakravarthy. "Turbulence Modeling for Recirculating Flows—Reasons and Approach." In Instabilities and Turbulence in Engineering Flows, pp. 281-292. Springer, Dordrecht, 1993. https://doi.org/10.1007/978-94-011-1743-2_15
Peláez Restrepo, Juan Diego. "Study of the effect of the geometrical parameters of the runner and operation conditions on performance and flow characteristics in a cross flow turbine." PhD diss., Universidad EAFIT, 2014.
Reynolds, Osborne. "On the two manners of motion of water." In Proc. R. Instn Gt Brit, vol. 11, pp. 44-52. 1884.
Adanta, Dendy, Budiarso Budiarso, and Ahmad Indra Siswantara. "Assessment of turbulence modelling for numerical simulations into pico hydro turbine." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 46, no. 1 (2018): 21-31.
Darmawan, Steven, Ahmad Indra Siswantara, Budiarso, Asyari Daryus, Agus Tri Gunawan, Achmad Bayu Wijayanto, and Harto Tanujaya. "Turbulent Flow Analysis in Auxiliary Cross-Flow Runner of a Proto X-3 Bioenergy Micro Gas Turbine Using RNG k-ε Turbulence Model." ARPN Journal of Engineering and Applied Sciences 10, no. 16 (2015): 7086–7091.
Orszag, STEVEN A, and VICTOR Yakhot. "Renormalization Group Analysis of Turbulence." In Proceedings of the International Congress of Mathematicians, 1395–99, 1986.
Yakhot, Victor, and Steven A. Orszag. "Renormalization group analysis of turbulence. I. Basic theory." Journal of scientific computing 1, no. 1 (1986): 3-51. https://doi.org/10.1007/BF01061452
Yakhot, V. S. A. S. T. B. C. G., S. A. Orszag, Siva Thangam, T. B. Gatski, and CG1167781 Speziale. "Development of turbulence models for shear flows by a double expansion technique." Physics of Fluids A: Fluid Dynamics 4, no. 7 (1992): 1510-1520. https://doi.org/10.1063/1.858424
Hanjalic, K. "Closure models for incompressible turbulent flows." Lecture Notes at Von Kármán Institute 75 (2004).
Sammartano, Vincenzo, Costanza Aricò, Armando Carravetta, Oreste Fecarotta, and Tullio Tucciarelli. "Banki-Michell optimal design by computational fluid dynamics testing and hydrodynamic analysis." Energies 6, no. 5 (2013): 2362-2385. https://doi.org/10.3390/en6052362
Gebrehiwot, Mekonnen Gebreslasie, Josse De Baerdemaeker, and Martine Baelmans. "Numerical Analysis of a Cross-Flow Fan with Two Outlets." In 5th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics. Sun City, 2007.
Kim, Tae-An, D-W. Kim, S-K. Park, and Youn J. Kim. "Performance of a cross-flow fan with various shapes of a rearguider and an exit duct." Journal of mechanical science and technology 22, no. 10 (2008): 1876-1882. https://doi.org/10.1007/s12206-008-0726-9
Cheng, Wee Teck. "Experimental and numerical analysis of a crossflow fan." Naval Postgraduate School, California, 2003.
Sowa, A. N. D. R. Z. E. J. "Flow simulations in cross-flow fans using the finite element and finite volume methods." Task Quarterly 1 (2004).
Choi, Young-Do, Jae-Ik Lim, You-Taek Kim, and Young-Ho Lee. "Performance and internal flow characteristics of a cross-flow hydro turbine by the shapes of nozzle and runner blade." Journal of fluid science and technology 3, no. 3 (2008): 398-409. https://doi.org/10.1299/jfst.3.398
De Andrade, Jesús, Christian Curiel, Frank Kenyery, Orlando Aguillón, Auristela Vásquez, and Miguel Asuaje. "Numerical investigation of the internal flow in a Banki turbine." International Journal of Rotating Machinery 2011 (2011). https://doi.org/10.1155/2011/841214
Kim, I. C., Joji Wata, Mohammed R. Ahmed, and Y. H. Lee. "CFD study of a ducted cross flow turbine concept for high efficiency tidal current energy extraction." In Proceedings of Asian Wave and Tidal Energy Conference 2012, pp. 400-405. 2012.
Qi-fei, Li, Quan Hui, and Li Ren-nian. "Influences of guide vanes airfoil on hydraulic turbine runner performance." Procedia Engineering 28 (2012): 703-708. https://doi.org/10.1016/j.proeng.2012.01.794
Launder, Brian Edward, and Dudley Brian Spalding. "The numerical computation of turbulent flows." In Numerical prediction of flow, heat transfer, turbulence and combustion, pp. 96-116. Pergamon, 1983. https://doi.org/10.1016/B978-0-08-030937-8.50016-7
Lakshminarayana, B. "Turbine cooling and heat transfer." Fluid Dynamics and Heat Transfer of Turbomachinery (1996): 597-721. https://doi.org/10.1002/9780470172629
Marshall, Elizabeth Marden, and André Bakker. "Computational fluid mixing." Handbook of industrial mixing: science and practice (2004): 257-343. https://doi.org/10.1002/0471451452.ch5
Choudhury, D. "Introduction to the renormalization group method and turbulence modeling (Technical Memorandum TM-107, Fluent Inc. 1993)." Google Scholar.
Thangam, S., and Charles G. Speziale. "Turbulent flow past a backward-facing step-A critical evaluation of two-equation models." AIAA journal 30, no. 5 (1992): 1314-1320. https://doi.org/10.2514/3.11066
AVVA, R. K., S. J. Kline, and J .H. Ferziger. "Technical Report TF-33." California, 1988.
Sindir, Munir Mehmet Suat. A numerical study of turbulent flows in backward-facing step geometries: a comparison of four models of turbulence. University of California, Davis, 1982.
Thangamftc, S. "Turbulent separated flow past a backward." (1991).
Speziale, CharlesG. "On NonlinearK-l AndK-Modelsof Turbulence." J. Fluid Mech 178 (1987): 459–75. https://doi.org/10.1017/S0022112087001319
Gunadi, Gun Gun R., Ahmad Indra Siswantara, Budiarso Budiarso, Hariyotejo Pujowidodo, Candra Damis Widiawaty, and Dendy Adanta. "Analysis of Inverse-Prandtl of Dissipation in Standard k-? Turbulence Model for Predicting Flow Field of Crossflow Wind Turbine." CFD Letters 12, no. 4 (2020): 68-78. https://doi.org/10.37934/cfdl.12.4.6878
Orszag, Steven A. "Renormalisation group modelling and turbulence simulations." Near-wall turbulent flows (1993).
Pujowidodo, Hariyotejo, Ahmad Indra Siswantara, Budiarso, Gun Gun R. Gunadi, and Asyari Daryus. "Turbulence model and validation of air flow in crossflow turbine nozzle." In AIP Conference Proceedings, vol. 2001, no. 1, p. 060006. AIP Publishing LLC, 2018. https://doi.org/10.1063/1.5050007
Widiawaty, Candra Damis, Ahmad Indra Siswantara, Budiarso, Asyari Daryus, Gun Gun Ramdlan Gunadi, and Hariyotejo Pujowidodo. "Investigation the effect of superficial velocity to the heat transfer in bubbling regime of fluidization using CFD simulation." In AIP Conference Proceedings, vol. 2187, no. 1, p. 020024. AIP Publishing LLC, 2019. https://doi.org/10.1063/1.5138279
Siswantara, A. I., H. Pujowidodo, M. A. Budiyanto, GG Ramdlan Gunadi, and C. D. Widiawaty. "An investigation turbulence model of standard k- to get optimum parameters of turbulence constants (cµ, c1, and c2) of compressible fluid dynamics in a confined jet." Journal of Southwest Jiaotong University 56, no. 5 (2021). https://doi.org/10.35741/issn.0258-2724.56.5.26
Roache, Patrick J. Verification and validation in computational science and engineering. Vol. 895. Albuquerque, NM: Hermosa, 1998.
Downloads
Published
How to Cite
Issue
Section
