Research Papers

Scaling of Convective Heat Transfer Enhancement Due to Flow Pulsation in an Axisymmetric Impinging Jet

[+] Author and Article Information
Tim Persoons

e-mail: tim.persoons@tcd.ie

Darina B. Murray

Department of Mechanical and
Manufacturing Engineering,
University of Dublin, Trinity College,
Parsons Building,
Dublin 2, Ireland

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received June 21, 2012; final manuscript received December 18, 2012; published online September 23, 2013. Assoc. Editor: Sujoy Kumar Saha.

J. Heat Transfer 135(11), 111012 (Sep 23, 2013) (10 pages) Paper No: HT-12-1301; doi: 10.1115/1.4024620 History: Received June 21, 2012; Revised December 18, 2012

Impinging jets are widely used to achieve a high local convective heat flux, with applications in high power density electronics and various other industrial fields. The heat transfer to steady impinging jets has been extensively researched, yet the understanding of pulsating impinging jets remains incomplete. Although some studies have shown a significant enhancement compared to steady jets, others have shown reductions in heat transfer rate, without consensus on the heat transfer mechanisms that determine this behavior. This study investigates the local convective heat transfer to a pulsating air jet from a long straight circular pipe nozzle impinging onto a smooth planar surface (nozzle-to-surface spacing 1 ≤ H/D ≤ 6, Reynolds numbers 6000 ≤ Re ≤ 14,000, pulsation frequency 9 Hz ≤ f ≤ 55Hz, Strouhal number 0.007 ≤ Sr = fD/Um ≤ 0.1). A different behavior is observed for the heat transfer enhancement in (i) the stagnation zone, (ii) the wall jet region and overall area average. Two different modified Strouhal numbers have been identified to scale the heat transfer enhancement in both regions: (i) Sr(H/D) and (ii) SrRe0.5. The average heat transfer rate increases by up to 75–85% for SrRe0.5 ≅ 8 (Sr = 0.1, Re = 6000), independent of nozzle-to-surface spacing. The stagnation heat transfer rate increases with nozzle-to-surface distance H/D. For H/D = 1 and low pulsation frequency (Sr < 0.025), a reduction in stagnation point heat transfer rate by 13% is observed, increasing to positive enhancements for Sr(H/D) > 0.1 up to a maximum enhancement of 48% at Sr(H/D) = 0.6.

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Garimella, S. V., Yeh, L.-T., and Persoons, T., 2012, “Thermal Management Challenges in Telecommunication Systems and Data Centers,” IEEE Trans. Compon., Packag. Manuf. Technol., 2(8), pp. 1307–1316. [CrossRef]
Agostini, B., Fabbri, M., Park, J. E., Wojtan, L., Thome, J. R., and Michel, B., 2007, “State of the Art of High Heat Flux Cooling Technologies,” Heat Transfer Eng., 28(4), pp. 258–281. [CrossRef]
Escher, W., Michel, B., and Poulikakos, D., 2010, “A Novel High Performance, Ultra Thin Heat Sink for Electronics,” Int. J. Heat Fluid Flow, 31(4), pp. 586–598. [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]
Persoons, T., O'Donovan, T. S., and Murray, D. B., 2009, “Heat Transfer in Adjacent Interacting Impinging Synthetic Jets,” Proceedings of ASME Heat Transfer Summer Conference, San Francisco, CA, Vol. 1: Heat Transfer in Electronic Equipment, ASME, San Francisco, CA, pp. 955–962.
Shadlesky, P. S., 1983, “Jet Impingement to a Plane Surface,” AIAA J., 21(8), pp. 1214–1215. [CrossRef]
Liu, T. S., and Sullivan, J. P., 1996, “Heat Transfer and Flow Structures in an Excited Circular Impinging Jet,” Int. J. Heat Mass Transfer, 39(17), pp. 3695–3706. [CrossRef]
O'Donovan, T. S., and Murray, D. B., 2007, “Effect of Acoustic Excitation on the Heat Transfer to an Impinging Air Jet,” Proceedings of the ASME-JSME Thermal Engineering Summer Heat Transfer Conference, Vancouver, BC, Canada, Paper No. HT2007–32800.
Sheriff, H. S. S., and Zumbrunnen, D. A. A., 1994, “Effect of Flow Pulsations on the Cooling Effectiveness of an Impinging Jet,” ASME J. Heat Transfer, 116(4), pp. 886–895. [CrossRef]
Azevedo, L. F. A., Webb, B. W., and Queiroz, M., 1994, “Pulsed Air Jet Impingement Heat Transfer,” Exp. Therm. Fluid Sci., 8(3), pp. 206–213. [CrossRef]
Hofmann, H. M., Movileanu, D. L., Kind, M., and Martin, H., 2007, “Influence of a Pulsation on Heat Transfer and Flow Structure in Submerged Impinging Jets,” Int. J. Heat Mass Transfer, 50(17–18), pp. 3638–3648. [CrossRef]
Camci, C., and Herr, F., 2002, “Forced Convection Heat Transfer Enhancement Using a Self-Oscillating Impinging Planar Jet,” ASME J. Heat Transfer, 124(4), p. 770. [CrossRef]
Zumbrunnen, D. A., and Aziz, M., 1993, “Convective Heat-Transfer Enhancement Due to Intermittency in an Impinging Jet,” ASME J. Heat Transfer, 115(1), pp. 91–98. [CrossRef]
Herwig, H., and Middelberg, G., 2008, “The Physics of Unsteady Jet Impingement and Its Heat Transfer Performance,” Acta Mech., 201(1–4), pp. 171–184. [CrossRef]
Mladin, E. C., and Zumbrunnen, D. A., 1997, “Local Convective Heat Transfer to Submerged Pulsating Jets,” Int. J. Heat Mass Transfer, 40(14), pp. 3305–3321. [CrossRef]
Behera, R. C., Dutta, P., and Srinivasan, K., 2007, “Numerical Study of Interrupted Impinging Jets for Cooling of Electronics,” IEEE Trans. Compon. Packag. Technol., 30(2), pp. 275–284. [CrossRef]
Farrington, R. B., and Clauncht, S. D., 1994, “Infrared Imaging of Large-Amplitude, Low-Frequency Disturbances on a Planar Jet,” AIAA J., 32(2), pp. 317–323. [CrossRef]
Smith, B. L., and Glezer, A., 2001, “The Formation and Evolution of Synthetic Jets,” Phys. Fluids, 10(9), pp. 2281–2297. [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]
Persoons, T., Saenen, T., Van Oevelen, T., and Baelmans, M., 2012, “Effect of Flow Pulsation on the Heat Transfer Performance of a Minichannel Heat Sink,” ASME J. Heat Transfer, 134(9), p. 091702. [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]
White, F. M., 1991, Viscous Fluid Flow, McGraw-Hill, New York.
Beranek, L. L., 1996, Acoustics, Acoustical Society of America, Woodbury, NY.
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]
Hoogendoorn, C. J., 1977, “Effect of Turbulence on Heat-Transfer at a Stagnation Point,” Int. J. Heat Mass Transfer, 20(12), pp. 1333–1338. [CrossRef]
Brdlik, P. M., and Savin, V. K., 1966, “Heat Transfer in the Vicinity of the Stagnation Point in an Axisymmetric Jet Flowing Over Flat Surfaces Normal to the Flow,” J. Eng. Phys., 10(4), pp. 241–245. [CrossRef]
Gauntner, J. W., LivingoodJ. N. B., HrycakP. D-N. A. S. A. T. N., GuzlntnerJ. W., and HrycukP., 1970, “Survey of Literature on Flow Characteristics of a Single Turbulent Jet Impinging on a Flat Plate,” NASA Technical Note TN D-5652, NASA, Washington, DC.


Grahic Jump Location
Fig. 1

Schematic of the impinging pulsating jet test facility. (a) pipe nozzle, (b) dummy pipe nozzle, (c) pneumatic valve, (d) square wave generator and amplifier, (e) mass flow controller, (f) pressure regulator and buffer vessel (not shown), (g) isothermally heated instrumented surface on traversing stage, (h) flush-mounted heat flux and embedded surface temperature sensors, and (i) computer with data acquisition system.

Grahic Jump Location
Fig. 2

Theoretical nozzle velocity for (○) f = 9 Hz (St = 156), (□) 27 Hz (St = 468), (△) 40 Hz (St = 693), and (♢) 55 Hz (St = 953). (a) Time-resolved mean velocity Um(t) and (b) velocity profiles at the start of the ejection phase U(r, f·t = 0) (···) and the end U(r, f·t = ½) (—).

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

Local Nusselt number profiles for a steady impinging jet at (a) H/D = 1 and (b) H/D = 6

Grahic Jump Location
Fig. 5

Local Nusselt number profiles for (a) H/D = 1 and Re = 6000, (b) H/D = 1 and Re = 10,000, (c) H/D = 6 and Re = 6000, and (d) H/D = 6 and Re = 10,000. The solid line represents steady flow. Markers represent pulsating flow at f = 9 Hz (○), 27 Hz (△), 36 Hz (♢), 40 Hz (▹), and 55 Hz (□).

Grahic Jump Location
Fig. 6

Local time-averaged (—) and fluctuating (−−) Nusselt number profiles for H/D = 2 and (a) Re = 6000 and (b) Re = 10,000. The solid and dashed lines represent steady flow. Markers represent pulsating flow at f = 9 Hz (○) and 55 Hz (□).

Grahic Jump Location
Fig. 7

Frequency dependence of the area-averaged (—) and stagnation point heat transfer rate (···) plotted as (a)–(c) Frössling number Fr = Nu/(Re0.5Pr0.4(H/D)0.0436) and (d)–(f) heat transfer enhancement δNu, for H/D = 1 (a), 2 (b), and 6 (c), and Re = 6000 (○), 10,000 (□), and 14,000 (△).

Grahic Jump Location
Fig. 8

Scaling of (a) stagnation point and (b) area-averaged heat transfer enhancement δNu as a function of Sr(H/D) and Sr(Re)0.5. Markers represent the experimental data, with solid and hollow markers for H/D = 1–2 and 3–6, respectively.




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