Research Papers: Jets, Wakes, and Impingment Cooling

Heat Transfer Due to an Impinging Jet in a Confined Space

[+] Author and Article Information
G. Nasif

Department of Mechanical,
Automotive and Materials Engineering,
University of Windsor,
Windsor, ON N9B 3P4, Canada
e-mail: nasifg@uwindsor.ca

R. M. Barron, R. Balachandar

Department of Mechanical,
Automotive and Materials Engineering,
University of Windsor,
Windsor, ON N9B 3P4, Canada

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 4, 2013; final manuscript received July 21, 2014; published online August 26, 2014. Assoc. Editor: Jim A. Liburdy.

J. Heat Transfer 136(11), 112202 (Aug 26, 2014) (10 pages) Paper No: HT-13-1337; doi: 10.1115/1.4028242 History: Received July 04, 2013; Revised July 21, 2014

A numerical investigation using unsteady three-dimensional Reynolds-averaged Navier–Stokes (RANS) equations with the k-ω SST (shear stress transport) turbulent model was conducted to determine the flow and thermal characteristics of an unsubmerged axisymmetric oil jet in air, impinging normally on to a heated flat disk with finite radius, bounded by cylindrical walls kept at constant temperature. A 10 mm thick disk subjected to a high uniform heat flux was located at impingement distances ranging from 40 to 80 mm from the nozzle exit, for nozzle exit diameters of d = 1.0, 2.0, and 4.0 mm. The volume of fluid (VOF) method with a high-resolution interface-capturing (HRIC) scheme was implemented in STAR-CCM+. A new methodology was developed to predict the stagnation zone and local heat transfer coefficients. Contrary to previous research, it is shown that the radial extent of the stagnation zone is not fixed but depends on the gradient of radial velocity along the disk. The normalized local Nusselt number profile along the disk radius is found to be weakly dependent on Reynolds number for a given nozzle size. It is also shown that the local Nusselt number is not uniform in the stagnation region as reported by experimental studies but depends on the distribution of the near-wall radial velocity gradient. Using the computational results, new correlations to predict the dimensionless radial velocity gradient and Nusselt number have been developed. The present correlations are dimensionally balanced, eliminating a deficiency in earlier correlations noted in the literature.

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Ma, C. F., 2003, “Impingement Heat Transfer With Meso-scale Fluid Jets,” College of Environmental and Energy Engineering, Beijing Polytechnic University, China, Technical Report No. 100022.
Ichimiya, K., Takema, S., Morimoto, S., Kunugi, T., and Akino, N., 2001, “Movement of Impingement Heat Transfer by a Single Circular Jet With a Confined Wall,” Int. J. Heat Mass Transfer, 44(16), pp. 3095–3102. [CrossRef]
Ashforth, S., Jambunathan, K., and Whitney, C. F., 1997, “Velocity and Turbulence Characteristics of Semiconfined Orthogonally Impinging Slot Jet,” Exp. Therm. Fluid Sci., 14(1), pp. 60–67. [CrossRef]
Liu, X., Gabour, L. A., and Lienhard, J. H., 1993, “Stagnation-Point Heat Transfer During Impinging of Laminar Liquid Jets: Analysis Including Surface Tension,” ASME J. Heat Transfer, 115(1), pp. 99–105. [CrossRef]
Liu, X., and Lienhard, J. H., 1989, “Liquid Jet Impingement Heat Transfer on a Uniform Flux Surface,” Proceedings of the 26th ASME/AIChE National Heat Transfer Conference, Philadelphia, PA.
Agarwal, A. K., Goyal, S. K., and Srivastava, D. K., 2011, “Time Resolved Numerical Modeling of Oil Jet Cooling of a Medium Duty Diesel Engine Piston,” Int. Commun. Heat Mass Transfer, 38(8), pp. 1080–1085. [CrossRef]
Hewakandamby, B. N., 2009, “A Numerical Study of Heat Transfer Performance of Oscillatory Impinging Jets,” Int. J. Heat Mass Transfer, 52(1–2), pp. 396–406. [CrossRef]
Xu, F., and Gadala, M. S., 2006, “Heat Transfer Behaviour in the Impingement Zone Under Circular Water Jet,” Int. J. Heat Mass Transfer, 49(21–22), pp. 3785–3799. [CrossRef]
Rahman, M. M., Bula, A. J., and Leland, J., 1999, “Conjugate Heat Transfer During Free Jet Impingement of a High Prandtl Number Fluid,” Numer. Heat Transfer, Part B, 36(2), pp. 139–162. [CrossRef]
Behnia, M., Parneix, S., and Durbin, P. A., 1998, “Prediction of Heat Transfer in an Axisymmetric Turbulent Jet Impinging on a Flat Plate,” Int. J. Heat Mass Transfer, 41(12), pp. 1845–1855. [CrossRef]
Stevens, J., and Webb, B. W., 1991, “Local Heat Transfer Coefficients Under an Axisymmetric, Single Phase Liquid Jet,” ASME J. Heat Transfer, 113(1), pp. 71–78. [CrossRef]
Lienhard, J. H., 2006, “Heat Transfer by Impingement of Circular Free-Surface Liquid Jets,” Proceedings of 18th National and 7th ISHMT-ASME Heat and Mass Transfer Conference, Guwahati, India.
Nasif, G., Barron, R. M., and Balachandar, R., 2013, “Jet Impingement Heat Transfer: Stationary Disc,” Proceedings of International Conference on Advancements and Futuristic Trends in Mechanical and Materials Engineering, Kapurthala, Punjab, India.
Stevens, J., Pan, Y., and Webb, B. W., 1992, “Effect of Nozzle Configuration on Transport in the Stagnation Zone of Axisymmetric Impinging Free-Surface Liquid Jets—Part 1,” ASME J. Heat Transfer, 114(4), pp. 874–879. [CrossRef]
Liu, X., Lienhard, J. H., and Lombara, S., 1991, “Convective Heat Transfer by Impingement of Circular Liquid Jets,” ASME J. Heat Transfer, 113(3), pp. 571–582. [CrossRef]
Versteeg, H. K., and Malalasekera, W., 2007, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, 2nd ed., Pearson Education Ltd., Harlow, UK.
Wilcox, D. C., 1998, Turbulence Modeling for CFD, 2nd ed., DCW Industries Inc., La Canada, CA.
Wilcox, D. C., 1994, “Simulation of Transition With a Two-Equation Turbulence Model,” AIAA J., 32(2), pp. 247–255. [CrossRef]
Menter, F. R., 1992, “Improved Two-Equation k-ω Turbulence Models for Aerodynamic Flows,” Technical Report NASA TM-103975.
Hoffmann, K., and Chiang, S., 2000, Computational Fluid Dynamics, Vol. 3, 4th ed., Engineering Education System, KS. [PubMed] [PubMed]
CD-adapco, 2012, STAR-CCM+, V7.02.008, User Manual.
Zaleski, S., 2002, “Simulations of High Reynolds Number Breakup of Liquid-Gas Interfaces (Lecture Series),” Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, Belgium.
Leonard, B. P., 1991, “The ULTIMATE Conservative Difference Scheme Applied to Unsteady One-Dimensional Advection,” Comput. Meth. Appl. Mech. Eng., 88(1), pp. 17–74. [CrossRef]
Ubbink, O., and Issa, R. I., 1999, “Method for Capturing Sharp Fluid Interfaces on Arbitrary Meshes,” J. Comput. Phys., 153(1), pp. 26–50. [CrossRef]
Muzaferija, S., Peric, M., Sames, P., and Schelin, T., 1998, “A Two-Fluid Navier-Stokes Solver to Simulate Water Entry,” Proceedings of 22nd Symposium on Naval Hydrodynamics, Washington, D.C.
Waclawczyk, T., and Koronowicz, T., 2008, “Comparison of CICSAM and HRIC High-Resolution Schemes for Interface Capturing,” J. Theor. Appl. Mech., 46(2), pp. 325–345.
Gutfinger, C., 1975, Topics in Transport Phenomena, Hemisphere Publishing Corporation, New York.
Kays, W. M., 1994, “Turbulent Prandtl Number—Where Are We?,” ASME J. Heat Transfer, 116(2), pp. 284–295. [CrossRef]
Behnia, M., Parneix, S., and Durbin, P., 1996, “Simulation of Jet Impingement Heat Transfer with the k-ɛ-v2 Model,” Annual Research Briefs, Center for Turbulence Research, Stanford University, Stanford, CA.
Miyamoto, M., Sumikawa, J., Akiyoshi, T., and Nakamura, T., 1980, “Effects of Axial Heat Conduction in a Vertical Flat Plate on Free Convection Heat Transfer,” Int. J. Heat Mass Transfer, 23(11), pp. 1545–1553. [CrossRef]
Pozzi, A., and Lupo, M., 1988, “The Coupling of Conduction with Laminar Natural Convection Along a Flat Plate,” Int. J. Heat Mass Transfer, 31(9), pp. 1807–1814. [CrossRef]
Vynnycky, M., and Kimura, S., 1996, “Transient Conjugate Free Convection Due to a Heated Vertical Plate,” Int. J. Heat Mass Transfer, 39(5), pp. 1067–1080. [CrossRef]
Cengel, Y. A., and Ghajar, A. J., 2011, Heat and Mass Transfer: Fundamental and Application, 4th ed., McGraw-Hill, New York.
Sharan, A., 1984, “Jet-Disc Boiling Burnout Predictions and Application to Solar Receivers,” Master's thesis in Mechanical Engineering, University of Houston, Houston, TX.
Wang, X. S., Dagan, Z., and Jiji, L. M., 1989, “Heat Transfer Between a Circular Free Impinging Jet and a Solid Surface with Nonuniform Wall Temperature or Heat Flux—1,” Int. J. Heat Mass Transfer, 32(7), pp. 1351–1360. [CrossRef]
Nasif, G., Barron, R. M., Balachandar, R., and Iqbal, O., 2013, “Simulation of Jet Impingement Heat Transfer,” Proceedings of ASME ICEF Fall Technical Conference, Dearborn, MI, Oct. 13–16. [CrossRef]
Zuckerman, N., and Lior, N., 2006, “Jet Impingement Heat Transfer: Physics, Correlations and Numerical Modeling,” Adv. Heat Transfer, 39, pp. 565–631. [CrossRef]


Grahic Jump Location
Fig. 1

Jet and film flow showing hydrodynamic evolution

Grahic Jump Location
Fig. 6

Contours of radial velocity gradient ∂ur/∂r and radial extent of the stagnation zone for d = 2.0 mm at H/d=30; (a) Red=4000, (b) Red=8000, (c) Red=12,000 and (d) Red=16,000

Grahic Jump Location
Fig. 5

Comparison of computed local Nusselt number with correlation given by Eq. (2); H = 60 mm, d=2 mm

Grahic Jump Location
Fig. 4

Comparison of computed stagnation zone Nusselt number with correlation given by Eq. (1), for H=60 mm

Grahic Jump Location
Fig. 3

Effect of domain confinement on local Nusselt number obtained for nozzle size d = 4.0 mm at H/d=15 and Red=12,000

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Fig. 2

Computational domain and relevant boundary conditions

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Fig. 7

Dependence of: (a) stagnation point radial velocity gradient and (b) dimensionless radial velocity gradient, on the parameter uf/d

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Fig. 8

Variation of stagnation zone Nusselt number with Reynolds number

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Fig. 9

Local Nusselt number Nu normalized by Nuo, H=60 mm: (a) H/d = 60, (b) H/d = 30, (c) H/d = 15

Grahic Jump Location
Fig. 10

Temperature distribution across the fluid film at three different locations downstream of the stagnation point, H=60 mm, Red = 12,000: (a) H/d = 30, (b) H/d = 15

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Fig. 11

Temperature distribution at the interface between the oil sheet and impinging surface, H=60 mm, Red = 12,000: (a) H/d = 30, (b) H/d = 15

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Fig. 12

Distribution of radial velocity beneath the stagnation region (A): (a) d = 1.0 mm, Red = 8000, (b) d = 2.0 mm, Red = 16,000, (c) d = 4.0 mm, Red = 16,000

Grahic Jump Location
Fig. 13

Effect of Reynolds number on: (a) stagnation zone average temperature, (b) disk average temperature; H=60 mm

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Fig. 14

Contours of temperature for the constant heat flux disk, for different nozzle sizes and jet Reynolds numbers; H=60 mm



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