Research Article

Analyzing the Turbulent Flow Characteristics by Utilizing k-? Turbulence Model.

Md. Safayet Hossain
Chittagong University of Engineering & Technology
Md. Ishtiaque Hossain
Chittagong University of Engineering & Technology
* Corresponding author
Somit Pramanik
Chittagong University of Engineering & Technology
Dr. Jamal Uddin Ahamed
Chittagong University of Engineering & Technology
DOI icon 10.24018/ejeng.2017.2.11.510

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Submitted 2017-11-09
Published 2017-11-29

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Article Main Content

This study attempts to illustrate the behavior of a fully developed turbulent flow by using k-? turbulence model. A two dimensional smooth bend channel is adopted for this experiment and water was chosen as working fluid. The Reynolds number was gradually increased to predict the diversity in turbulent kinetic energy (TKE), turbulent dissipation rate, turbulent intensity and eddy viscosity. Primarily the flow has been solved by employing three distinct k-? turbulence models namely, Standard, Renormalization-group (RNG) and Realizable model. After experimenting with ten different sample (from 74E03 to 298E03) of Reynolds numbers, each of these analyses explicitly showed that Standard k-? model gives much higher value of any aforementioned turbulent properties with respect to other two equation turbulence models. Later it’s been discovered that TKE obtained from Standard k-? model is almost same as Realizable k-? model (for Re=298E03, the difference is about 1.8%). It has been observed that the skin friction coefficient at the bend region obtained from different two equation models (Standard, Realizable and RNG k-? model and Standard k-? model) are almost similar to each other for each sample of Reynolds number. Quadrilateral elements were taken into consideration for grid generation in this analysis. Also, to decrease cost and to achieve further accuracy as well as reduced time consumption mapped faced meshing was utilized.
Keywords: CFD k-? RNG skin friction factor TKE

References

  1. Jongtae Kim, Mohan Yadav and Seungjin Kim, “Characteristics of secondary flow induced by 90-degree elbow in turbulent pipe flow,” Engineering Applications of Computational Fluid Mechanics Vol. 8, No. 2, pp. 229–239 (2014).
     Google Scholar
  2. Beibei Feng, Shiming Wang, Shengqiang Li, Xingtuan Yang, and Shengyao Jiang, “Experimental and numerical study on pressure distribution of 90° elbow for flow measurement,” Hindawi Publishing Corporation, Science and Technology of Nuclear Installations, Volume 2014, Article ID-964585.
     Google Scholar
  3. Prasun Dutta and Nityananda Nand, “Effect of Reynolds Number and curvature ratio on single phase turbulent flow in pipe bends,” Mechanics and Mechanical Engineering, Vol. 19, No. 1 (2015)
     Google Scholar
  4. Min Chen and Zhiguo Zhang, “Numerical simulation of turbulent driven secondary flow in a 90° bend pipe,” Advanced Materials Research Vols. 765-767 (2013) pp 514-519.
     Google Scholar
  5. Abdelkrim Miloud, Mohammed Aounallah, Mustapha Belkadi, Lahouari Adjlout, Omar Imine and Bachir Imine, “Turbulent flow computation in a circular U-Bend,” EPJ Web of Conferences 67, 02075 (2014).
     Google Scholar
  6. Rana Roy Chowdhury, Suranjan Biswas, Md. Mahbubul Alam and A. K. M. Sadrul Islam, “Turbulent flow analysis on bend and downstream of the bend for different curvature ratio,” AIP Conference Proceedings 1754, 040020 (2016).
     Google Scholar
  7. Yan Wang, Quanlin Dong, and Pengfei Wang, “Numerical investigation on fluid flow in a 90-degree curved pipe with large curvature ratio,” Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2015, Article ID 548262.
     Google Scholar
  8. Muhammad 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 3(2014) 269 e277.
     Google Scholar
  9. Prasun Dutta, Sumit Kumar Saha, Nityananda Nandi and Nairit Pal, “Numerical study on flow separation in 90° pipe bend under high Reynolds number by k-ε modelling,” Engineering Science and Technology, an International Journal 19 (2016) 904–910.
     Google Scholar
  10. Tarek A. Mekhail, Walid A. Aissa, Soubhi A. Hassanein, and Osama Hamdy, “CFD simulation of dilute gas-solid flow in 90˚ square bend,” Energy and Power Engineering, 2011, 3, 246-252.
     Google Scholar
  11. Prasun Dutta and Nityananda Nandi, “Effect of bend curvature on velocity & pressure distribution from straight to a 90° pipe bend - A Numerical Study,” REST Journal on Emerging trends in Modelling and Manufacturing 2(4) 2016, 103-108.
     Google Scholar
  12. William Yang and Benny Kuan, “Experimental investigation of dilute turbulent particulate flow inside a curved 90◦ bend,” Chemical Engineering Science 61 (2006) 3593–360.
     Google Scholar
  13. Sowjanya Vijiapurapu and Jie Cui, “Performance of turbulence models for flows through rough pipes,” Applied Mathematical Modelling 34 (2010) 1458–1466.
     Google Scholar
  14. Sumit kumar saha and Nityananda nandi, “Change in flow separation and velocity distribution due to effect of guide vane installed in a 90° pipe bend,” Mechanics and Mechanical Engineering Vol. 21, No. 2 (2017) 353–361 Lodz University of Technology.
     Google Scholar
  15. Leo H. O. Hellstrom, Metodi B. Zlatinov, Alexander J. Smits and Guongjun Cao, “Turbulent pipe flow through a 90° bend.” Seventh International Symposium on Turbulence and Shear Flow Phenomena 2011.
     Google Scholar
  16. Manish Kumar Rathore, Dilbag Singh Mondloe and Satish Upadhyay, “Computational Investigation of Fluid Flow 90° Bend Pipe Using Finite Volume Approach,” International Research Journal of Engineering and Technology (IRJET), Volume: 04 Issue: 06, June -2017.
     Google Scholar
  17. P. Dutta and N. Nandi, “Study on pressure drop characteristics of single phase turbulent flow in pipe bend for high Reynolds number,” ARPN Journal of Engineering and Applied Sciences, Vol. 10, no. 5, March 2015.
     Google Scholar
  18. B. E. Launder and D. B. Spalding. “Lectures in Mathematical Models of Turbulence.” Academic Press, London, England. 1972.
     Google Scholar
  19. V. Yakhot and S. A. Orszag. "Renormalization Group Analysis of Turbulence I Basic Theory". Journal of Scientific Computing. 1(1). 1–51. 1986.
     Google Scholar
  20. T.-H. Shih, W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu. "A New k-ε Eddy-Viscosity Model for High Reynolds Number Turbulent Flows - Model Development and Validation". Computers Fluids. 24(3). 227–238. 1995.
     Google Scholar
  21. S. A. Orszag, V. Yakhot, W. S. Flannery, F. Boysan, D. Choudhury, J. Maruzewski, and B. Patel. "Renormalization Group Modeling and Turbulence Simulations". In International Conference On Near-Wall Turbulent Flows, Tempe, Arizona. 1993.
     Google Scholar
  22. W. C. Reynolds. "Fundamentals of turbulence for turbulence modeling and simulation". Lecture Notes for Von Karman Institute Agard Report No. 755. 1987.
     Google Scholar
  23. M. S. Solum, R. J. Pugmire, and D. M. Grant. "Energy and Fuels.” 3. 187. 1989.
     Google Scholar