Skip to main content Accessibility help
×
Home

Direct numerical simulation of a turbulent jet impinging on a heated wall

  • T. Dairay (a1), V. Fortuné (a2), E. Lamballais (a2) and L.-E. Brizzi (a2)

Abstract

Direct numerical simulation (DNS) of an impinging jet flow with a nozzle-to-plate distance of two jet diameters and a Reynolds number of 10 000 is carried out at high spatial resolution using high-order numerical methods. The flow configuration is designed to enable the development of a fully turbulent regime with the appearance of a well-marked secondary maximum in the radial distribution of the mean heat transfer. The velocity and temperature statistics are validated with documented experiments. The DNS database is then analysed focusing on the role of unsteady processes to explain the spatial distribution of the heat transfer coefficient at the wall. A phenomenological scenario is proposed on the basis of instantaneous flow visualisations in order to explain the non-monotonic radial evolution of the Nusselt number in the stagnation region. This scenario is then assessed by analysing the wall temperature and the wall shear stress distributions and also through the use of conditional averaging of velocity and temperature fields. On one hand, the heat transfer is primarily driven by the large-scale toroidal primary and secondary vortices emitted periodically. On the other hand, these vortices are subjected to azimuthal distortions associated with the production of radially elongated structures at small scale. These distortions are responsible for the appearance of very high heat transfer zones organised as cold fluid spots on the heated wall. These cold spots are shaped by the radial structures through a filament propagation of the heat transfer. The analysis of probability density functions shows that these strong events are highly intermittent in time and space while contributing essentially to the secondary peak observed in the radial evolution of the Nusselt number.

Copyright

Corresponding author

Email address for correspondence: tdairay@hotmail.fr

References

Hide All
Ashforth-Frost, S., Jambunathan, K. & Whitney, C. F. 1997 Velocity and turbulence characteristics of a semiconfined orthogonally impinging slot jet. Exp. Therm. Fluid Sci. 14 (1), 6067.
Baughn, J. W. & Shimizu, S. 1989 Heat transfer measurements from a surface with uniform heat flux and an impinging jet. Trans. ASME J. Heat Transfer 111, 10961098.
Beaubert, F. & Viazzo, S. 2003 Large eddy simulations of plane turbulent impinging jets at moderate Reynolds numbers. Intl J. Heat Fluid Flow 24 (4), 512519.
Blackwelder, R. F. & Kaplan, R. E. 1976 On the wall structure of the turbulent boundary layer. J. Fluid Mech. 76 (1), 89112.
Buchlin, J. M. 2011 Convective heat transfer in impinging-gas-jet arrangements. J. Appl. Fluid Mech. 4 (2), 137149.
Chung, Y. M. & Luo, K. H. 2002 Unsteady heat transfer analysis of an impinging jet. Trans. ASME J. Heat Transfer 124 (6), 10391048.
Chung, Y. M., Luo, K. H. & Sandham, N. D. 2002 Numerical study of momentum and heat transfer in unsteady impinging jets. Intl J. Heat Fluid Flow 23 (5), 592600.
Cooper, D., Jackson, D. C., Launder, B. E. & Liao, G. X. 1993 Impinging jet studies for turbulence model assessment – I. Flow-field experiments. Intl J. Heat Mass Transfer 36 (10), 26752684.
Dailey, G. M. 2000 Design and calculation issues. In Aero-Thermal Performance of Internal Cooling Systems in Turbomachines, VKI for Fluid Dynamics Lecture Series, vol. 3, pp. A1A70.
Dairay, T., Fortuné, V., Lamballais, E. & Brizzi, L. E. 2014 LES of a turbulent jet impinging on a heated wall using high-order numerical schemes. Intl J. Heat Fluid Flow 50, 177187.
Deshpande, M. D. & Vaishnav, R. N. 1982 Submerged laminar jet impingement on a plane. J. Fluid Mech. 114, 213226.
Dewan, A., Dutta, R. & Srinivasan, B. 2012 Recent trends in computation of turbulent jet impingement heat transfer. Heat Transfer Engng 33 (4–5), 447460.
Didden, N. & Ho, C.-M. 1985 Unsteady separation in a boundary layer produced by an impinging jet. J. Fluid Mech. 160, 235256.
Dubief, Y. & Delcayre, F. 2000 On coherent-vortex identification in turbulence. J. Turbul. 1, 122.
El Hassan, M., Assoum, H. H., Sobolik, V., Vétel, J., Abed-Meraim, K., Garon, A. & Sakout, A. 2012 Experimental investigation of the wall shear stress and the vortex dynamics in a circular impinging jet. Exp. Fluids 52 (6), 14751489.
Gardon, R. & Akfirat, J. C. 1965 The role of turbulence in determining the heat-transfer characteristics of impinging jets. Intl J. Heat Mass Transfer 8 (10), 12611272.
Gauntner, J. W., Livingood, J. N. B. & Hrycak, P.1970 Survey of literature on flow characteristics of a single turbulent jet impinging on a flat plate. NASA Tech. Rep. TN D-5652 NTIS N70-18963.
Hadziabdic, M. & Hanjalic, K. 2008 Vortical structures and heat transfer in a round impinging jet. J. Fluid Mech. 596, 221260.
Hall, J. W. & Ewing, D. 2006 On the dynamics of the large-scale structures in round impinging jets. J. Fluid Mech. 555, 439458.
Hunt, J. C. R., Wray, A. A. & Moin, P.1988 Eddies, stream and convergence zones in turbulent flows. Report CTR-S88, Center For Turbulence Research.
Jambunathan, K., Lai, R., Moss, A. & Button, B. L. 1992 A review of heat transfer data for single circular jet impingement. Intl J. Heat Fluid Flow 13, 106115.
Kim, J. 1985 Turbulence structures associated with the bursting event. Phys. Fluids 28, 5258.
Kravchenko, A. G. & Moin, P. 1997 On the effect of numerical errors in large eddy simulation of turbulent flows. J. Comput. Phys. 131, 310322.
Laizet, S. & Lamballais, E. 2009 High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy. J. Comput. Phys. 228, 59896015.
Laizet, S., Lamballais, E. & Vassilicos, J. C. 2010 A numerical strategy to combine high-order schemes, complex geometry and parallel computing for high resolution DNS of fractal generated turbulence. Comput. Fluids 39 (3), 471484.
Laizet, S. & Li, N. 2011 Incompact3d: a powerful tool to tackle turbulence problems with up to $O(10^{5})$ computational cores. Intl J. Numer. Meth. Fluids 67 (11), 17351757.
Lamballais, E., Fortuné, V. & Laizet, S. 2011 Straightforward high-order numerical dissipation via the viscous term for direct and large eddy simulation. J. Comput. Phys. 230, 32703275.
Lee, J. & Lee, S.-J. 1999 Stagnation region heat transfer of a turbulent axisymmetric jet impingement. Expl Heat Transfer 12 (2), 137156.
Lele, S. K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 1642.
Lesieur, M., Métais, O. & Comte, P. 2005 Large-Eddy Simulation of Turbulence. Cambridge University Press.
Lodato, G., Vervisch, L. & Domingo, P. 2009 A compressible wall-adapting similarity mixed model for large-eddy simulation of the impinging round jet. Phys. Fluids 21 (3), 035102.
Lytle, D. & Webb, B. W. 1994 Air jet impingement heat transfer at low nozzle–plate spacings. Intl J. Heat Mass Transfer 37, 16871697.
Manceau, R., Carpy, S. & Alfano, D. 2002 A rescaled $\overline{v^{2}}f$ model: first application to separated and impinging flows. Engng Turbul. Modelling Exp. 5, 107116.
Martin, H. 1977 Heat and mass transfer between impinging gas jets and solid surfaces. Adv. Heat Transfer 13, 160.
Miller, P. 1995 A study of wall jets resulting from single and multiple inclined jet impingement. Aeronaut. J. 99 (986), 201216.
Moin, P. & Mahesh, K. 1998 Direct numerical simulation: a tool in turbulence research. Annu. Rev. Fluid Mech. 30, 539578.
Narayanan, V. & Patil, V. A. 2007 Oscillatory thermal structures induced by unconfined slot jet impingement. Exp. Therm. Fluid Sci. 32 (2), 682695.
Nordstrom, J., Nordin, N. & Henningson, D. S. 1999 The fringe region technique and the Fourier method used in the direct numerical simulation of spatially evolving viscous flows. SIAM J. Sci. Comput. 20 (4), 13651393.
Obot, N. T., Douglas, W. J. M. & Mujumdar, A. S.1982 Effect of semi-confinement on impingement heat transfer. In Proceedings of 7th International Heat Transfer Conference, vol. 3, pp. 395–400.
O’Donovan, T. S. & Murray, D. B. 2007 Jet impingement heat transfer – part II: a temporal investigation of heat transfer and local fluid velocities. Intl J. Heat Mass Transfer 50, 33023314.
Orlandi, P. & Verzicco, R. 1993 Vortex rings impinging on walls: axisymmetric and three-dimensional simulations. J. Fluid Mech. 256, 615646.
Popiel, C. O. & Trass, O. 1991 Visualization of a free and impinging round jet. Exp. Therm. Fluid Sci. 4, 253264.
Rohlfs, W., Haustein, H. D., Garbrecht, O. & Kneer, R. 2012 Insights into the local heat transfer of a submerged impinging jet: influence of local flow acceleration and vortex–wall interaction. Intl J. Heat Mass Transfer 55 (25), 77287736.
Roux, S., Fénot, M., Lalizel, G., Brizzi, L.-E. & Dorignac, E. 2011 Experimental investigation of the flow and heat transfer of an impinging jet under acoustic excitation. Intl J. Heat Mass Transfer 54 (15), 32773290.
Roux, S., Fénot, M., Lalizel, G., Brizzi, L.-E. & Dorignac, E. 2014 Evidence of flow vortex signatures on wall fluctuating temperature using unsteady infrared thermography for an acoustically forced impinging jet. Intl J. Heat Fluid Flow 50, 3850.
Sagaut, P. 2005 Large Eddy Simulation of Incompressible Flow: An Introduction, 2nd edn. Springer.
Swearingen, J. D., Crouch, J. D. & Handler, R. A. 1995 Dynamics and stability of a vortex ring impacting a solid boundary. J. Fluid Mech. 297, 128.
Tsubokura, M., Kobayashi, T., Tanigushi, N. & Jones, W. P. 2003 A numerical study on the eddy structures of impinging jet excited at the inlet. Intl J. Heat Fluid Flow 24, 500511.
Uddin, N., Neumann, S.-O. & Weigand, B. 2013 LES simulations of an impinging jet: on the origin of the second peak in the Nusselt number distribution. Intl J. Heat Mass Transfer 57 (1), 356368.
Vejrazka, J., Tihon, J., Marty, P. & Sobolik, V. 2005 Effect of an external excitation on the flow structure in a circular impinging jet. Phys. Fluids 17, 114.
Violato, D., Ianiro, A., Cardone, G. & Scarano, F. 2012 Three-dimensional vortex dynamics and convective heat transfer in circular and chevron impinging jets. Intl J. Heat Fluid Flow 37, 2236.
Viskanta, R. 1993 Heat transfer to impinging isothermal gas and flame jets. Exp. Therm. Fluid Sci. 6 (2), 111134.
Walker, J. D. A., Smith, C. R., Cerra, A. W. & Doligalski, T. L. 1987 The impact of a vortex ring on a wall. J. Fluid Mech. 181, 99140.
Webb, B. W. & Ma, C.-F. 1995 Single-phase liquid jet impingement heat transfer. Adv. Heat Transfer 26, 105217.
Wilke, R. & Sesterhenn, J. 2015 Direct numerical simulation of heat transfer of a round subsonic impinging jet. In Active Flow and Combustion Control 2014, pp. 147159. Springer.
Yeh, F. C. & Stepka, F. S.1984 Review and status of heat-transfer technology for internal passages of air-cooled turbine blades. NASA Tech. Rep. 2232.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

JFM classification

Related content

Powered by UNSILO

Direct numerical simulation of a turbulent jet impinging on a heated wall

  • T. Dairay (a1), V. Fortuné (a2), E. Lamballais (a2) and L.-E. Brizzi (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.