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Direct numerical simulation of turbulent heat transfer in a T-junction

Published online by Cambridge University Press:  27 April 2018

M. Georgiou  and
M. V. Papalexandris Open the ORCID record for M. V. Papalexandris [Opens in a new window]
M. Georgiou
Affiliation:
Institute of Mechanics, Materials and Civil Engineering, Université catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
M. V. Papalexandris*
Affiliation:
Institute of Mechanics, Materials and Civil Engineering, Université catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
*
†Email address for correspondence: [email protected]
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Abstract

In this paper we report on a direct numerical simulation (DNS) of turbulent heat transfer in a T-junction. In particular, we study the interaction between two liquid streams, a hot horizontal cross-flow and a cold vertical liquid jet coming from above, in a T-junction of rectangular cross-section. We discuss in detail the instantaneous flow structures and present results for the first- and second-order statistics of the flow quantities, and for the budget of the turbulent kinetic energy. Further, we present results of the power spectral density of the velocity and temperature signals at selected locations of the flow field. Our analysis elucidates the properties of the important features of the flow such as the large recirculation bubble and the secondary separation zones that are formed in the vicinity of the entry of the jet. According to our simulations, thermal mixing is mainly driven by the shear layer between the two streams and, to a lesser extent, by the shear layer between the incoming jet and the large recirculation bubble. Thermal mixing is further enhanced by turbulence generation in the regions of adverse pressure gradients downstream of the large recirculation bubble. Within the framework of our study, we have also conducted a wall-resolved large-eddy simulation (LES) of the flow of interest so as to assess its predictive capacity. Overall, the LES predictions agree satisfactorily with our DNS data; the most noticeable discrepancy is that the LES produces mildly diffused profiles for the second-order statistics in the regions of intense turbulence production.

JFM classification

Turbulent Flows: Stratified turbulence Turbulent Flows: Turbulent convection Mixing: Turbulent mixing
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 845 , 25 June 2018 , pp. 581 - 614
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Copyright
© 2018 Cambridge University Press 

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References

Antoniadis, P. D. & Papalexandris, M. V. 2015 Dynamics of shear layers at the interface of a highly porous medium and a pure fluid. Phys. Fluids 27, 014104.CrossRefGoogle Scholar
Antoniadis, P. D. & Papalexandris, M. V. 2016 Numerical study of unsteady, thermally-stratified shear flows in superposed porous and pure-fluid domains. Intl J. Heat Mass Transfer 96 (C), 643–659.CrossRefGoogle Scholar
Bernal, L. P. & Roshko, A. 1986 Streamwise vortex structure in plane mixing layers. J. Fluid Mech. 170, 499–525.Google Scholar
Bourassa, C. & Thomas, F. O. 2009 An experimental investigation of a highly accelerated turbulent boundary layer. J. Fluid Mech. 634, 359–404.Google Scholar
Chassaing, P., Antonia, R. A., Anselmet, F., Joly, L. & Sarkar, S. 2002 Variable Density Fluid Turbulence. Kluwer.CrossRefGoogle Scholar
Choi, H. & Moin, P. 1994 Effects of the computational time step on numerical solutions of turbulent flow. J. Comput. Phys. 113 (1), 1–4.CrossRefGoogle Scholar
Corcos, G. M. & Lin, S. J. 1984 The mixing layer: deterministic models of a turbulent flow. Part 2. The origin of the three-dimensional motion. J. Fluid Mech. 139, 67–95.CrossRefGoogle Scholar
Dean, W. R. 1927 Xvi. Note on the motion of fluid in a curved pipe. Phil. Mag. 4 (20), 208–223.Google Scholar
Favre, A. 1983 Turbulence: space–time statistical properties and behavior in supersonic flows. Phys. Fluids 26 (10), 2851–2863.Google Scholar
Flores, O. & Jimenez, J. 2010 Hierarchy of minimal flow units in the logarithmic layer. Phys. Fluids 22 (7), 071704.Google Scholar
Fröhlich, J., Mellen, C. P., Rodi, W., Temmerman, L. & Leschziner, M. A. 2005 Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions. J. Fluid Mech. 526, 19–66.Google Scholar
Gauder, P., Selvam, P. K., Kulenovic, R. & Laurien, E. 2016 Large eddy simulation studies on the influence of turbulent inlet conditions on the flow behavior in a mixing tee. Nucl. Engng Des. 298, 51–63.Google Scholar
Georgiou, M. & Papalexandris, M. V. 2017a Numerical study of turbulent flow in a rectangular T-junction. Phys. Fluids 29 (6), 065106.CrossRefGoogle Scholar
Georgiou, M. & Papalexandris, M. V. 2017b Turbulent mixing in T-junctions: the role of the temperature as an active scalar. Intl J. Heat Mass Transfer 115 (B), 793–809.CrossRefGoogle Scholar
Hirota, M., Asano, H., Nakayama, H., Asano, T. & Hirayama, S. 2006 Three-dimensional structure of turbulent flow in mixing T-junction. JSME Intl J. B 49 (4), 1070–1077.Google Scholar
Hirota, M., Mohri, E., Asano, H. & Goto, H. 2010 Experimental study on turbulent mixing process in cross-flow type T-junction. Intl J. Heat Fluid Flow 31 (5), 776–784.Google Scholar
Howard, R. J. A. & Serre, E. 2015 Large-eddy simulation in a mixing tee junction: high-order turbulent statistics analysis. Intl J. Heat Fluid Flow 51, 65–77.CrossRefGoogle Scholar
Howard, R. J. A. & Serre, E. 2017 Large eddy simulation in Code_Saturne of thermal mixing in a T-junction with brass walls. Intl J. Heat Fluid Flow 63, 119–127.Google Scholar
Hu, L. W. & Kazimi, M. S. 2006 LES benchmark study of high cycle temperature fluctuations caused by thermal striping in a mixing tee. Intl J. Heat Fluid Flow 27 (1), 54–64.CrossRefGoogle Scholar
Huang, P. G., Coleman, G. N. & Bradshaw, P. 1995 Compressible turbulent channel flows: DNS results and modelling. J. Fluid Mech. 305, 185–218.CrossRefGoogle Scholar
Hunt, J. C. R., Wray, A. A. & Moin, P.1988 Eddies, stream, and convergence zones in turbulent flows. Center For Turbulence Research, Report CTR-S88.Google Scholar
Jayaraju, S.T, Komen, E. M. J. & Baglietto, E. 2010 Suitability of wall-functions in large eddy simulation for thermal fatigue in a T-junction. Nucl. Engng Des. 240 (10), 2544–2554.Google Scholar
Kamide, H., Igarashi, M., Kawashima, S., Kimura, N. & Hayashi, K. 2009 Study on mixing behavior in a tee piping and numerical analyses for evaluation of thermal striping. Nucl. Engng Des. 239 (1), 58–67.Google Scholar
Kickhofel, J., Prasser, H. M., Selvam, P. K., Laurien, E. & Kulenovic, R. 2016 T-junction cross-flow mixing with thermally driven density stratification. Nucl. Engng Des. 309, 23–39.CrossRefGoogle Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.CrossRefGoogle Scholar
Kuczaj, A. K., Komen, E. M. J. & Loginov, M. S. 2010 Large-eddy simulation study of turbulent mixing in a T-junction. Nucl. Engng Des. 240 (9), 2116–2122.CrossRefGoogle Scholar
Kuhn, S., Braillard, O., Ničeno, B. & Prasser, H. M. 2010 Computational study of conjugate heat transfer in T-junctions. Nucl. Engng Des. 240 (6), 1548–1557.Google Scholar
Kuschewski, M., Kulenovic, R. & Laurien, E. 2013 Experimental setup for the investigation of fluid–structure interactions in a t-junction. Nucl. Engng Des. 264, 223–230.CrossRefGoogle Scholar
Le, H., Moin, P. & Kim, J. 1997 Direct numerical simulation of turbulent flow over a backward-facing step. J. Fluid Mech. 330, 349–374.Google Scholar
Lee, J. I., Hu, L.-W., Saha, P. & Kazimi, M. S. 2009 Numerical analysis of thermal striping induced high cycle thermal fatigue in a mixing tee. Nucl. Engng Des. 239 (5), 833–839.Google Scholar
Lessani, B. & Papalexandris, M. V. 2006 Time-accurate calculation of variable density flows with strong temperature gradients and combustion. J. Comput. Phys. 212 (1), 218–246.Google Scholar
Lessani, B. & Papalexandris, M. V. 2008 Numerical study of turbulent channel flow with strong temperature gradients. Intl J. Numer. Method. H 18 (3/4), 545–556.Google Scholar
Lessani, B. & Zainali, A. 2009 Numerical investigation of stably stratified turbulent channel flow under non-Boussinesq conditions. J. Turbul. 10 (8), 1–25.CrossRefGoogle Scholar
Lilly, D. K. 1992 A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 4 (3), 633–635.Google Scholar
Lin, C. H., Chen, M. S. & Ferng, Y. M. 2016 Investigating thermal mixing and reverse flow characteristics in a T-junction by way of experiments. Appl. Therm. Engng 99, 1171–1182.Google Scholar
Lin, S. J. & Corcos, G. M. 1984 The mixing layer: deterministic models of a turbulent flow. Part 3. The effect of plane strain on the dynamics of streamwise vortices. J. Fluid Mech. 141, 139–178.Google Scholar
Lu, T., Jiang, P. X., Guo, Z. J., Zhang, Y. W. & Li, H. 2010 Large-eddy simulations (LES) of temperature fluctuations in a mixing tee with/without a porous medium. Intl J. Heat Mass Transfer 53 (21–22), 4458–4466.CrossRefGoogle Scholar
Moin, P., Squires, K., Cabot, W. & Lee, S. 1991 A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A 3 (11), 2746–2757.Google Scholar
Muppidi, S. & Mahesh, K. 2007 Direct numerical simulation of round turbulent jets in crossflow. J. Fluid Mech. 574, 59–84.CrossRefGoogle Scholar
Naik-Nimbalkar, V. S., Patwardhan, A. W., Banerjee, I., Padmakumar, G. & Vaidyanathan, G. 2010 Thermal mixing in T-junctions. Chem. Engng Sci. 65 (22), 5901–5911.CrossRefGoogle Scholar
Popiel, C. O. & Wojtkowiak, J. 1998 Simple formulas for thermophysical properties of liquid water for heat transfer calculations (from 0 °C to 150 °C). Heat Transfer Engng 19 (3), 87–101.CrossRefGoogle Scholar
Rhie, C. M. & Chow, W. L. 1983 Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21 (11), 1525–1532.CrossRefGoogle Scholar
Rogers, M. M. & Moser, R. D. 1992 The three-dimensional evolution of a plane mixing layer: the Kelvin–Helmholtz rollup. J. Fluid Mech. 243, 183–226.CrossRefGoogle Scholar
Sakowitz, A., Mihaescu, M. & Fuchs, L. 2013 Effects of velocity ratio and inflow pulsations on the flow in a T-junction by large eddy simulation. Comput. Fluids 88, 374–385.Google Scholar
Sakowitz, A., Mihaescu, M. & Fuchs, L. 2014 Turbulent flow mechanisms in mixing T-junctions by large eddy simulations. Intl J. Heat Fluid Flow 45, 135–146.CrossRefGoogle Scholar
Selvam, P. K., Kulenovic, R. & Laurien, E. 2015 Large eddy simulation on thermal mixing of fluids in a T-junction with conjugate heat transfer. Nucl. Engng Des. 284, 238–246.Google Scholar
Skote, M. & Henningson, D. S. 2002 Direct numerical simulation of a separated turbulent boundary layer. J. Fluid Mech. 471, 107–136.CrossRefGoogle Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to R 𝜃 = 1410. J. Fluid Mech. 187, 61–98.CrossRefGoogle Scholar
Sreenivasan, K. R. 1982 Laminarescent, relaminarizing and retransitional flows. Acta Mech. 44, 1–48.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.Google Scholar
de Tilly, A. & Sousa, J. M. M. 2008 An experimental study of heat transfer in a two-dimensional T-junction operating at a low momentum flux ratio. Intl J. Heat Mass Transfer 51 (3), 941–947.Google Scholar
Tunstall, R., Laurence, D., Prosser, R. & Skillen, A. 2016a Benchmarking LES with wall-functions and RANS for fatigue problems in thermal–hydraulics systems. Nucl. Engng Des. 308, 170–181.CrossRefGoogle Scholar
Tunstall, R., Laurence, D., Prosser, R. & Skillen, A. 2016b Large eddy simulation of a T-junction with upstream elbow: the role of dean vortices in thermal fatigue. Appl. Therm. Engng 107, 672–680.Google Scholar
Wagner, W. & Kretzschmar, H.-J. 2008 International Steam Tables – Properties of Water and Steam Based on the Industrial Formulation IAPWS-IF97. Springer.Google Scholar
Walker, C., Simiano, M., Zboray, R. & Prasser, H. M. 2009 Investigations on mixing phenomena in single-phase flow in a T-junction geometry. Nucl. Engng Des. 239 (1), 116–126.CrossRefGoogle Scholar
Zang, T. A. 1991 Numerical simulation of the dynamics of turbulent boundary layers: perspectives of a transition simulator. Phil. Trans. R. Soc. Lond. A 336 (1641), 95–102.Google Scholar
Zonta, F., Marchioli, C. & Soldati, A. 2012 Modulation of turbulence in forced convection by temperature-dependent viscosity. J. Fluid Mech. 697, 150–174.CrossRefGoogle Scholar

Georgiou and Papalexandris supplementary movie 1

Animation of the temperature field at the xy-plane and at the spanwise station z=0. The two shear layers that are formed at the corners of the jet exit provide the main mechanism for thermal mixing between the two streams. In this animation we can also distinguish the large recircultion bubble at the top wall next to the jet exit.

Download Georgiou and Papalexandris supplementary movie 1(Video)
Video 12.5 MB

Georgiou and Papalexandris supplementary movie 2

Animation of the temperature field at the yz plane and at the station x=-0.5, i.e. close to the origin of the primary shear layer. In this animation we can clearly distinguish the mushroom-like structures that are formed at the interface of the two streams.

Download Georgiou and Papalexandris supplementary movie 2(Video)
Video 3.5 MB