Abstract
This report concentrates on fully turbulent confined round impinging jets with focus on heat transfer and the source mechanism of the impinging tones. Direct numerical simulations were performed with Reynolds numbers of Re = 3300 (subsonic and supersonic) and Re = 8000 (subsonic) using grid sizes of 512 × 512 × 512 respectively 1024 × 1024 × 1024 points. The transient flow field is analysed using a dynamic mode decomposition (DMD). It is shown that there is a dominant frequency with which the heat transfer at the impinging plate fluctuates. The corresponding structures are the vortex rings developing in the shear layer of the free jet region of the impinging jet. The same structures are together with the standoff shock responsible for the discrete tones referred to as impinging tones emitted by supersonic impinging jets.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adams, N.A., Shariff, K.: A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems. J. Comput. Phys. 127, S.27–S.51 (1996). http://dx.doi.org/10.1006/jcph.1996.0156. doi:10.1006/jcph.1996.0156
Bogey, C., de Cacqueray, N., Bailly, C.: A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations. J. Comput. Phys. 228(5), 1447–1465 (2009). http://dx.doi.org/http://dx.doi.org/10.1016/j.jcp.2008.10.042. doi:http://dx.doi.org/10.1016/j.jcp.2008.10.042. ISSN 0021–9991
Buchlin, J.: Convective heat transfer in impinging-gas-jet arrangements. J. Appl. Fluid Mech. 4(3), 137–149 (2011)
Chung, Y.M., Luo, K.H.: Unsteady heat transfer analysis of an impinging jet. J. Heat Transf. 124(6), 1039–1048 (2002). http://dx.doi.org/10.1115/1.1469522. ISBN 0022–1481
Cziesla, T., Biswas, G., Chattopadhyay, H., Mitra, N.: Large-eddy simulation of flow and heat transfer in an impinging slot jet. Int. J. Heat Fluid Flow 22(5), 500–508 (2001). http://dx.doi.org/http://dx.doi.org/10.1016/S0142-727X(01)00105-9. doi:http://dx.doi.org/10.1016/S0142--727X(01)00105--9. ISSN 0142–727X
Dairay, T., Fortuné, V., Lamballais, E., Brizzi, L.-E.: Direct numerical simulation of a turbulent jet impinging on a heated wall. J. Fluid Mech. 764, 362–394 (2015). http://dx.doi.org/10.1017/jfm.2014.715. doi:10.1017/jfm.2014.715. ISSN 1469–7645
Eidson, T.M., Erlebacher, G.: Implementation of a fully balanced periodic tridiagonal solver on a parallel distributed memory architecture. Concurrency Pract. Experience 7(4), S.273–S.302 (1995)
Hattori, H., Nagano, Y.: Direct numerical simulation of turbulent heat transfer in plane impinging jet. Int. J. Heat Fluid Flow 25(5), 749–758 (2004) http://dx.doi.org/http://dx.doi.org/10.1016/j.ijheatfluidflow.2004.05.004. doi:http://dx.doi.org/10.1016/j.ijheatfluidflow.2004.05.004. ISSN 0142–727X. Selected papers from the 4th International Symposium on Turbulence Heat and Mass Transfer
Henderson, B.: The connection between sound production and jet structure of the supersonic impinging jet. J. Acoust. Soc. Am. 111(2), S.735–S.747 (2002). http://dx.doi.org/http://dx.doi.org/10.1121/1.1436069. doi:http://dx.doi.org/10.1121/1.1436069
Henderson, B., Powell, A.: Experiments concerning tones produced by an axisymmetric choked jet impinging on flat plates. J. Sound Vib. 168(2), S.307–S.326 (1993). http://dx.doi.org/http://dx.doi.org/10.1006/jsvi.1993.1375. doi:http://dx.doi.org/10.1006/jsvi.1993.1375. ISSN 0022–460X
Ho, C.-M., Nosseir, N.S.: Dynamics of an impinging jet. Part 1. The feedback phenomenon. J. Fluid Mech. 105(4), S.119–S.142 (1981). http://dx.doi.org/10.1017/S0022112081003133. doi:10.1017/S0022112081003133. ISSN 1469–7645
Hrycak, P.: Heat Transfer from Impinging Jets. A Literature Review. New Jersey Institute of Technology, Newark, NJ (1981). Forschungsbericht
Jambunathan, K., Lai, E., Moss, M., Button, B.: A review of heat transfer data for single circular jet impingement. Int. J. Heat Fluid Flow 13(2), S.106–S.115 (1992). http://dx.doi.org/http://dx.doi.org/10.1016/0142-727X(92)90017-4. doi:http://dx.doi.org/10.1016/0142--727X(92)90017--4
Janetzke, T.: Experimentelle Untersuchungen zur Effizienzsteigerung von Prallkühlkonfigurationen durch dynamische Ringwirbel hoher Amplitude, TU Berlin, Dissertation (2010)
Jungho Lee, S.-J.L.: Stagnation region heat transfer of a turbulent axisymmetric jet impingement. Exp. Heat Transfer 12(2), 137–156 (1999). http://dx.doi.org/10.1080/089161599269753. doi:10.1080/089161599269753
Lele, S.K.: Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103(1), 16–42 (1992). http://dx.doi.org/10.1016/0021-9991(92)90324-R. doi:10.1016/0021–9991(92)90324–R
Panda, J.: Shock oscillation in underexpanded screeching jets. J. Fluid Mech. 363, S.173–S.198 (1998). http://dx.doi.org/10.1017/S0022112098008842. doi:10.1017/S0022112098008842. ISSN 1469–7645
Pirozzoli, S., Bernardini, M., Grasso, F.: Characterization of coherent vortical structures in a supersonic turbulent boundary layer. J. Fluid Mech. 613, 205–231 (2008). http://dx.doi.org/10.1017/S0022112008003005. doi:10.1017/S0022112008003005. ISSN 1469–7645
Powell, A.: The sound-producing oscillations of round underexpanded jets impinging on normal plates. J. Acoust. Soc. Am. 83, S.515–S.533 (1988)
Powell, A., Umeda, Y., Ishii, R.: Observations of the oscillation modes of choked circular jets. J. Acoust. Soc. Am. 92(5), S.2823–S.2836 (1992). http://dx.doi.org/http://dx.doi.org/10.1121/1.404398. doi:http://dx.doi.org/10.1121/1.404398
Schmid, P.J.: Dynamic mode decomposition of numerical and experimental data. J. Fluid Mech. 656, 5–28 (2010). http://dx.doi.org/10.1017/S0022112010001217. doi:10.1017/S0022112010001217. ISSN 1469–7645
Schmid, P.: Application of the dynamic mode decomposition to experimental data. 50(4), 1123–1130 (2011). http://dx.doi.org/10.1007/s00348-010-0911-3. doi:10.1007/s00348–010–0911–3. ISBN 0723–4864
Schmid, P.J., Sesterhenn, J.L.: Dynamic mode decomposition of numerical and experimental data. In: 61st APS meeting of American Physical Society, San Antonio, p. S.208 (2008)
Schulze, J.: Adjoint based jet-noise minimization, TU Berlin, Dissertation (2013)
Sesterhenn, J.L.: A characteristic–type formulation of the Navier–Stokes equations for high order upwind schemes. Comput. Fluids 30(1), S.37–S.67 (2001)
Sinibaldi, G., Lacagnina, G., Marino, L., Romano, G.P.: Aeroacoustics and aerodynamics of impinging supersonic jets: analysis of the screech tones. Phys. Fluids (1994-present) 25(8) (2013). http://dx.doi.org/http://dx.doi.org/10.1063/1.4819333. doi:http://dx.doi.org/10.1063/1.4819333
Tam, C.K.W.: Supersonic jet noise. Annu. Rev. Fluid Mech. 27(1), 17–43 (1995). http://dx.doi.org/10.1146/annurev.fl.27.010195.000313. doi:10.1146/annurev.fl.27.010195.000313
Uzun, A., Kumar, R., Hussaini, M.Y., Alvi, F.S.: Simulation of tonal noise generation by supersonic impinging jets. AIAA J. 51(7), S.1593–S.1611 (2013). http://dx.doi.org/10.2514/1.J051839. doi:10.2514/1.J051839
Viskanta, R.: Heat transfer to impinging isothermal gas and flame jets. Exp. Thermal Fluid Sci. 6(2), S.111–S.134 (1993). http://dx.doi.org/http://dx.doi.org/10.1016/0894-1777(93)90022-B. doi:http://dx.doi.org/10.1016/0894--1777(93)90022--B
Weigand, B., Spring, S.: Multiple jet impingement - a review. Heat Transf. Res. 42(2), S.101–S.142 (2011). ISSN 1064–2285
Wilke, R., Sesterhenn, J.L.: Direct numerical simulation of heat transfer of a round subsonic impinging jet. In: Notes on Numerical Fluid Mechanics and Multidisciplinary Design Bd. 127, pp. S.147–S.159. Springer, Berlin (2014)
Wilke, R., Sesterhenn, J.L.: Numerical simulation of impinging jets. In: High Performance Computing in Science and Engineering ‘14, pp. S.275–S.287. Springer, Berlin (2015)
Zuckerman, N., Lior, N.: Impingement heat transfer: correlations and numerical modeling. J. Heat Transf. 127(5), 544–552 (2005). http://dx.doi.org/10.1115/1.1861921. ISBN 0022–1481
Acknowledgements
The simulations were performed on the national supercomputer Cray XE6 (Hermit) and Cray XC40 (Hornet) at the High Performance Computing Center Stuttgart (HLRS) under the grant numbers GCS-NOIJ/12993 and GCS-ARSI/44027.
The authors gratefully acknowledge support by the Deutsche Forschungsgemeinschaft (DFG) as part of collaborative research center SFB 1029 “Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamics”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Wilke, R., Sesterhenn, J. (2016). Numerical Simulation of Subsonic and Supersonic Impinging Jets. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ’15. Springer, Cham. https://doi.org/10.1007/978-3-319-24633-8_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-24633-8_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-24631-4
Online ISBN: 978-3-319-24633-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)