CFD study of turbulent jet impingement on curved surface

doi:10.1016/j.cjche.2015.12.009

Abstract

Abstract: The heat transfer and flow characteristics of air jet impingement on a curved surface are investigated with computational fluid dynamics (CFD) approach. The first applied model is a one-equation SGS model for large eddy simulation (LES) and the second one is the SST-SAS hybrid RANS-LES. These models are utilized to study the flow physics in impinging process on a curved surface for different jet-to-surface (h/B) distances at two Reynolds numbers namely, 2960 and 4740 based on the jet exit velocity (U_e) and the hydraulic diameter (2B). The predictions are compared with the experimental data in the literature and also the results from RANS k-ε model. Comparisons show that both models can produce relatively good results. However, one-equation model (OEM) produced more accurate results especially at impingement region at lower jet-to-surface distances. In terms of heat transfer, the OEM also predicted better at different jet-to-surface spacings. It is also observed that both models show similar performance at higher h/B ratios.

Key words: Jet impingement, Curved surface, RAST one-equation model, Large eddy simulation, Heat transfer

摘要： The heat transfer and flow characteristics of air jet impingement on a curved surface are investigated with computational fluid dynamics (CFD) approach. The first applied model is a one-equation SGS model for large eddy simulation (LES) and the second one is the SST-SAS hybrid RANS-LES. These models are utilized to study the flow physics in impinging process on a curved surface for different jet-to-surface (h/B) distances at two Reynolds numbers namely, 2960 and 4740 based on the jet exit velocity (U_e) and the hydraulic diameter (2B). The predictions are compared with the experimental data in the literature and also the results from RANS k-ε model. Comparisons show that both models can produce relatively good results. However, one-equation model (OEM) produced more accurate results especially at impingement region at lower jet-to-surface distances. In terms of heat transfer, the OEM also predicted better at different jet-to-surface spacings. It is also observed that both models show similar performance at higher h/B ratios.

关键词: Jet impingement, Curved surface, RAST one-equation model, Large eddy simulation, Heat transfer

Javad Taghinia, Md Mizanur Rahman, Timo Siikonen. CFD study of turbulent jet impingement on curved surface[J]. Chin.J.Chem.Eng., 2016, 24(5): 588-596.

Javad Taghinia, Md Mizanur Rahman, Timo Siikonen. CFD study of turbulent jet impingement on curved surface[J]. Chinese Journal of Chemical Engineering, 2016, 24(5): 588-596.

References

[1] M.A.R. Sharif, K.K. Mothe, Parametric study of turbulent slot-jet impingement heat transfer from concave cylindrical surfaces, Int. J. Therm. Sci. 49(2010) 428-442.

[2] R.S. Amano, H. Brandt, Numerical study of turbulent axisymmetric jets impinging on a flat plate and flowing into an axisymmetric cavity, ASME J. Fluids Eng. 106(1984) 410-417.

[3] D. Lytle, R.W.Webb, Air jet impingement heat transfer at low nozzle-to-plate spacings, Int. J. Heat Mass Transfer 37(7) (1994) 1687-1697.

[4] C. Cornaro, A.S. Fleischer, R.J. Goldstein, Flow visualization of a round jet impinging on cylindrical surfaces, Exp. Therm. Fluid Sci. 20(1999) 66-78.

[5] S.D. Hwang, H.H. Cho, Effects of acoustic excitation positions on heat transfer and flow in axisymmetric impinging jet:main jet excitation and shear layer excitation, Int. J. Heat Fluid Flow 24(1) (2003) 199-209.

[6] L.A. El-Gabray, D.A. Kaminski, Numerical investigation of jet impingement with cross flow:Comparison of Yang-Shih and standard k-turbulence model, Numer. Heat Transfer A 47(2005) 441-469.

[7] J.M. Miao, C.Y. Wu, P.H. Chen, Numerical investigation of confined multiple-jet impingement cooling over a flat plate at different crossflow orientations, Numer. Heat Transfer A 55(2009) 1019-1050.

[8] H.Y. So, H.G. Yoon, M.K. Chung, Large eddy simulation of flow characteristics in an unconfined slot impinging jet with various nozzle-to-plate distances, Int. J. Mech. Sci. Technol. 25(3) (2011) 721-729.

[9] J. Taghinia, M.M. Rahman, T. Siikonen, Numerical investigation of twin-jet impingement with hybrid-type turbulence modeling, Appl. Therm. Eng. 73(1) (2014) 648-657.

[10] R.S. Bunker, D.E.Metzger, Local heat transfer in internally cooled turbine airfoil leading edge regions. Part I:Impingement cooling without film coolant extraction, J. Turbomach. 12(1990) 451-458.

[11] C. Gau, C.M. Chung, Surface curvature effect on slot-air-jet impingement cooling flow and heat transfer process, J. Heat Transfer 113(1991) 858-864.

[12] D.H. Lee, Y.S. Chung, D.S. Kim, Turbulent flow and heat transfer measurements on a curved surface with a fully developed round impinging jet, Int. J. Heat Fluid Flow 18(1997) 160-169.

[13] D.H. Lee, Y.S. Chung,M.G. Kim, Turbulent heat transfer froma convex hemispherical surface to a round impinging jet, Int. J. Heat Mass Transfer 42(1999) 1147-1156.

[14] J. Taghinia, M.M. Rahman, T. Siikonen, Heat transfer and flow analysis of jet impingement on concave surfaces, Appl. Therm. Eng. 84(2015) 448-459.

[15] N. Souris, H. Liakos, Impinging jet cooling on concave surfaces, AICHE J. 50(2004) 1672-1683.

[16] M. Choi, H.S. Yoo, G. Yang, J.S. Lee, D.K. Sohn, Measurement of impinging jet flow and heat transfer on a semi-circular concave surface, Int. J. Heat Mass Transfer 43(2000) 1811-1822.

[17] N. Kayansayan, S. Kucuka, Impingement cooling of a semi-cylindrical concave channel by confined slot-air-jet, Exp. Therm. Fluid Sci. 25(2001) 383-396.

[18] M. Frageau, F. Saeed, I. Paraschivoiu, Numerical heat transfer correlation for array of hot-air jets impinging on a 3-dimensional concave surface, J. Aircr. 42(2005) 665-670.

[19] T.J. Craft, H. Iacovides, N.A. Mostafa, Modelling of three-dimensional jet array impingement and heat transfer on a concave surface, Int. J. Heat Fluid Flow 29(2008) 687-702.

[20] D. Singh, B. Premachandran, S. Kohli, Experimental and numerical investigation of jet impingement cooling of a circular cylinder, Int. J. Heat Mass Transfer 60(2013) 672-688.

[21] J. Taghinia, M.M. Rahman, T. Siikonen, One-equation sub-grid scale model with variable eddy-viscosity coefficient, Comput. Fluids 107(2015) 155-164.

[22] F.R. Menter, Two-equation eddy-viscosity turbulence model for engineering application, AIAA J. 32(8) (1994) 1598-1605.

[23] F.R. Menter, Y. Egorov, The scale-adaptive simulation method for unsteady turbulent flow predictions. Part1:theory and model description, Flow Turbul. Combust. 85(2010) 113-138.

[24] J.C. Rotta, Statistische Theorie Nichthomogener Turbulenz, Z. Phys. (1951) 547-572.

[25] C.M.Winkler, A.J. Dorgan, M.Mani, Scale adaptive simulations of turbulent flows on unstructured grids, 20th AIAA Computational Fluid Dynamics Conference, AIAA, Honolulu, Hawaii June 27-302011, pp. 2011-3559.

[26] M.M. Rahman, T. Siikonen, A. Miettinen, A pressure-correction method for solving fluid flow problems on a collocated grid, Numer. Heat Transfer B Fundam. 32(1997) 63-84.

[27] M.M. Rahman, T. Siikonen, An explicit algebraic Reynolds stress model in turbulence, Int. J. Num. Methods Fluids 52(2006) 1135-1157.