0
Research Papers: Forced Convection

Experimental Validation of a Computational Fluid Dynamics Methodology for Transitional Flow Heat Transfer Characteristics of a Steady Impinging Jet

[+] Author and Article Information
Sajad Alimohammadi

Department of Mechanical and
Manufacturing Engineering,
Trinity College Dublin,
Dublin, Ireland
e-mail: alimohas@tcd.ie

Darina B. Murray

Department of Mechanical and
Manufacturing Engineering,
Trinity College Dublin,
Dublin, Ireland
e-mail: dmurray@tcd.ie

Tim Persoons

Department of Mechanical and
Manufacturing Engineering,
Trinity College Dublin,
Dublin, Ireland
e-mail: tim.persoons@tcd.ie

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 29, 2014; final manuscript received June 3, 2014; published online June 27, 2014. Assoc. Editor: W. Q. Tao.

J. Heat Transfer 136(9), 091703 (Jun 27, 2014) (9 pages) Paper No: HT-14-1049; doi: 10.1115/1.4027840 History: Received January 29, 2014; Revised June 03, 2014

This paper presents a computational fluid dynamics (CFD) methodology to accurately predict the heat transfer characteristics of an unconfined steady impinging air jet in the transitional flow regime, impinging on a planar constant-temperature surface. The CFD methodology is validated using detailed experimental measurements of the local surface heat transfer coefficient. The numerical model employs a transitional turbulence model which captures the laminar–turbulent transition in the wall jet which precisely predicts the intensity and extent of the secondary peak in the radial Nusselt number distribution. The paper proposes a computationally low-cost turbulence model which yields the most accurate results for a wide range of operating and geometrical conditions. A detailed analysis of the effect of mesh grid size and properties, inflow conditions, turbulence model, and turbulent Prandtl number Prt is presented. The numerical uncertainty is quantified by the grid convergence index (GCI) method. In the range of Reynolds number 6000 ≤ Re ≤ 14,000 and nozzle-to-surface distance 1 ≤ H/D ≤ 6, the model is in excellent agreement with the experimental data. For the case of H/D = 1 and Re = 14,000, the maximum deviations are 5%, 3%, and 2% in terms of local, area-averaged and stagnation point Nusselt numbers, respectively. Experimental and numerical correlations are presented for the stagnation point Nusselt number.

FIGURES IN THIS ARTICLE
<>
Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.

References

Lytle, D., and Webb, B. W., 1994, “Air-Jet Impingement Heat-Transfer at Low Nozzle Plate Spacings,” Int. J. Heat Mass Transfer, 37(12), pp. 1687–1697. [CrossRef]
Lee, J., and Lee, S. S., 1999, “Stagnation Region Heat Transfer of a Turbulent Axisymmetric Jet Impingement,” Exp. Heat Transfer, 12(2), pp. 137–156. [CrossRef]
Katti, V., and Prabhu, S. V., 2008, “Experimental Study and Theoretical Analysis of Local Heat Transfer Distribution Between Smooth Flat Surface and Impinging Air Jet From a Circular Straight Pipe Nozzle,” Int. J. Heat Mass Transfer, 51(17–18), pp. 4480–4495. [CrossRef]
Viskanta, R., 1993, “Heat Transfer to Impinging Isothermal Gas and Flame Jets,” Exp. Therm. Fluid Sci., 6(2), pp. 111–134. [CrossRef]
Jambunathan, K., Lai, E., Moss, M. A., and Button, B. L., 1992, “A Review of Heat-Transfer Data for Single Circular Jet Impingement,” Int. J. Heat Fluid Flow, 13(2), pp. 106–115. [CrossRef]
O'Donovan, T. S., and Murray, D. B., 2007, “Jet Impingement Heat Transfer—Part I: Mean and Root-Mean-Square Heat Transfer and Velocity Distributions,” Int. J. Heat Mass Transfer, 50(17–18), pp. 3291–3301. [CrossRef]
O'Donovan, T. S., and Murray, D. B., 2007, “Jet Impingement Heat Transfer—Part II: A Temporal Investigation of Heat Transfer and Local Fluid Velocities,” Int. J. Heat Mass Transfer, 50(17–18), pp. 3302–3314. [CrossRef]
Shadlesky, P. S., 1983, “Jet Impingement to a Plane Surface,” AIAA J., 21(8), pp. 1214–1215. [CrossRef]
Persoons, T., McGuinn, A., and Murray, D. B., 2011, “A General Correlation for the Stagnation Point Nusselt Number of an Axisymmetric Impinging Synthetic Jet,” Int. J. Heat Mass Transfer, 54(17–18), pp. 3900–3908. [CrossRef]
Wang, T., and Dhanasekaran, T. S., 2010, “Calibration of a Computational Model to Predict Mist/Steam Impinging Jets Cooling With an Application to Gas Turbine Blades,” ASME J. Heat Transfer, 132(12), p. 122201. [CrossRef]
Draksler, M., and Koncar, B., 2009, “A Numerical Investigation on a Submerged, Axis-Symmetric Jet,” International Conference Nuclear Energy for New Europe 2009, Bled, Slovenia, September 14–17, pp. 822.1–822.9.
Caggese, O., Gnaegi, G., Hannema, G., Terzis, A., and Ott, P., 2013, “Experimental and Numerical Investigation of a Fully Confined Impingement Round Jet,” Int. J. Heat Mass Transfer, 65, pp. 873–882. [CrossRef]
Hadziabdic, M., and Hanjalic, K., 2008, “Vortical Structures and Heat Transfer in a Round Impinging Jet,” J. Fluid Mech., 596, pp. 221–260. [CrossRef]
Cziesla, T., Biswas, G., Chattopadhyay, H., and Mitra, N. K., 2001, “Large-Eddy Simulation of Flow and Heat Transfer in an Impinging Slot Jet,” Int. J. Heat Fluid Flow, 22(5), pp. 500–508. [CrossRef]
Kubacki, S., and Dick, E., 2010, “Simulation of Plane Impinging Jets With k–ω Based Hybrid RANS/LES Models,” Int. J. Heat Fluid Flow, 31(5), pp. 862–878. [CrossRef]
Langtry, R. B., and Menter, F. R., 2005, “Transition Modelling for General CFD Applications in Aeronautics,” 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 10–13, AIAA Paper No. 2005-522. [CrossRef]
Menter, F. R., Langtry, R. B., Likki, S. R., Suzen, Y. B., Huang, P. G., and Voelker, S., 2006, “A Correlation-Based Transition Model Using Local Variables Part 1—Model Formulation,” ASME J. Turbomach., 128(3), pp. 413–422. [CrossRef]
Langtry, R. B., 2006, “A Correlation-Based Transition Model Using Local Variables for Unstructured Parallelized CFD Codes,” Ph.D. thesis, Institute of Thermal Turbomachinery and Machinery Laboratory, University of Stuttgart, Stuttgart, Germany.
Colucci, D. W., and Viskanta, R., 1996, “Effect of Nozzle Geometry on Local Convective Heat Transfer to a Confined Impinging Air Jet,” Exp. Thermal Fluid Sci., 13(1), pp. 71–80. [CrossRef]
Persoons, T., Balgazin, K., Brown, K., and Murray, D. B., 2013, “Scaling of Convective Heat Transfer Enhancement Due to Flow Pulsation in an Axisymmetric Impinging Jet,” ASME J. Heat Transfer, 135(11), p. 111012. [CrossRef]
Valiorgue, P., Persoons, T., McGuinn, A., and Murray, D. B., 2009, “Heat Transfer Mechanisms in an Impinging Synthetic Jet for a Small Jet-to-Surface Spacing,” Exp. Therm. Fluid Sci., 33(4), pp. 597–603. [CrossRef]
Alimohammadi, S., Persoons, T., and Murray, D. B., 2014, “A Numerical–Experimental Study of Heat Transfer Enhancement Using Unconfined Steady and Pulsating Turbulent Air Jet Impingement,” 15th International Heat Transfer Conference (IHTC-15), Kyoto, Japan, August 10–15, Paper No. IHTC15–8765.
Alimohammadi, S., Persoons, T., Murray, D. B., Tehrani, M. S., Farhanieh, B., and Koehler, J., 2013, “A Validated Numerical-Experimental Design Methodology for a Movable Supersonic Ejector Compressor for Waste-Heat Recovery,” ASME J. Therm. Sci. Eng. Appl., 6(2), p. 021001. [CrossRef]
Vieser, T., Esch, W., and Menter, F., 2002, “Heat Transfer Predictions Using Advanced Two-Equation Turbulence Models,” CFX Technical Memorandum CFX: VAL 10/0602, ANSYS Inc., Canonsburg, PA.
Celik, I. B., Ghia, U., Roache, P. J., Freitas, C. J., Coleman, H., and Raad, P. E., 2008, “Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications,” ASME J. Fluids Eng., 130(7), p. 078001. [CrossRef]
Gao, N., and Ewing, D., 2006, “Investigation of the Effect of Confinement on the Heat Transfer to Round Impinging Jets Exiting a Long Pipe,” Int. J. Heat Fluid Flow, 27(1), pp. 33–41. [CrossRef]
Zuckerman, N., and Lior, N., 2006, “Jet Impingement Heat Transfer: Physics, Correlations, and Numerical Modelling,” Adv. Heat Transfer, 39, pp. 565–631. [CrossRef]
Reynolds, A. J., 1976, “The Variation of Turbulent Prandtl and Schmidt Numbers in Wakes and Jets,” Int. J. Heat Mass Transfer, 19(7), pp. 757–764. [CrossRef]
Antonia, R. A., and Kim, J., 1991, “Turbulent Prandtl Number in the Near-Wall Region of a Turbulent Channel Flow,” Int. J. Heat Mass Transfer, 34(7), pp. 1905–1908. [CrossRef]
Mayer, E., and Divoky, D., 1966, “Correlation of Intermittency With Preferential Transport of Heat and Chemical Species in Turbulent Shear Flows,” AIAA J., 4(11), pp. 1995–2000. [CrossRef]
Patankar, S. V., and Spalding, D. B., 1967, Heat and Mass Transfer in Boundary Layers, Morgan Grampian, London.
Browne, L. W. B., and Antonia, R. A., 1983, “Measurements of Turbulent Prandtl Number in a Plane Jet,” ASME J. Heat Transfer, 105(3), pp. 663–665. [CrossRef]
Kays, W. M., 1994, “Turbulent Prandtl Number—Where are We?,” ASME J. Heat Transfer, 116(2), pp. 284–295. [CrossRef]
Kawamura, H., Abe, H., and Matsuo, Y., 1999, “DNS of Turbulent Heat Transfer in Channel Flow With Respect to Reynolds and Prandtl Number Effects,” Int. J. Heat Fluid Flow, 20(3), pp. 196–207. [CrossRef]
Chidambaram, N., Dash, S. M., and Kenzakowski, D. C., 2001, “Scalar Variance Transport in the Turbulence Modelling of Propulsive Jets,” J. Propul. Power, 17(1), pp. 79–84. [CrossRef]
Churchill, S. W., 2002, “A Reinterpretation of the Turbulent Prandtl Number,” Ind. Eng. Chem. Res., 41(25), pp. 6393–6401. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Computational domain and boundary conditions used in the simulation of the unconfined axisymmetric impinging jet

Grahic Jump Location
Fig. 2

Schematic diagram of the experimental setup: (a) pipe nozzle, (b) mass flow meter, (c) pressure reducer valve, (d) instrumented isothermally heated plate, (e) embedded heat flux sensor, and (f) data acquisition unit and computer

Grahic Jump Location
Fig. 3

Heat transfer coefficient at the stagnation point of a steady impinging jet plotted as Nu0/(Re0.5Pr0.4) as a function of nozzle-to-surface spacing H/D

Grahic Jump Location
Fig. 4

(a) Radial distribution of Nusselt number for different mesh sizes, F1 to F5, listed in Table 1 (Re = 6000, H/D = 1) and (b) local distribution of numerical uncertainty (GCI(%)) as error band on the selected mesh size for simulation (F4)

Grahic Jump Location
Fig. 5

Comparison of radial distribution of Nusselt number for different inlet velocity profiles to experimental data (Re = 6000, H/D = 1; error bars display exp. uncertainty)

Grahic Jump Location
Fig. 6

Radial distribution of (a) normalized turbulence kinetic energy and (b) radial velocity gradient (s−1) near the wall (at 0.01D) for different inlet velocity profiles (Re = 6000, H/D = 1)

Grahic Jump Location
Fig. 7

Comparison of radial distribution of Nusselt number for different (a) inlet turbulence intensities (%), (b) turbulence models, and (c) turbulent Prandtl numbers to experimental data (Re = 6000, H/D = 1; Exp. uncertainty = 6%)

Grahic Jump Location
Fig. 8

Comparison of radial distribution of Nusselt number for different Reynolds numbers to experimental data (H/D = 1; Re = 6000, 10,000, and 14,000; error bars display exp. uncertainty)

Grahic Jump Location
Fig. 9

Comparison of radial distribution of Nusselt number for different nozzle-to-surface distances to experimental data: (a) H/D = 2, (b) H/D = 3, (c) H/D = 4, and (d) H/D = 6 (Re = 6000, 10,000, and 14,000; error bars display exp. uncertainty)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In