Uses of impinging jet devices for heat transfer are described, with a focus on cooling applications within turbine systems. Numerical simulation techniques and results are described, and the relative strengths and drawbacks of the $k-\epsilon ,$$k-\omega ,$ Reynolds stress model, algebraic stress models, shear stress transport, and $v2f$ turbulence models for impinging jet flow and heat transfer are compared. Select model equations are provided as well as quantitative assessments of model errors and judgments of model suitability.

Issue Section:

Technology Review
Topics:

Computer simulation,
Flow (Dynamics),
Heat transfer,
Jets,
Modeling,
Turbulence,
Stress,
Errors,
Cooling,
Viscosity,
Nozzles,
Turbines
1.

Ferrari

, J.

, Lior

, N.

, and Slycke

, J.

, 2003

, “An Evaluation of Gas Quenching of Steel Rings by Multiple-jet Impingement

,” J. Mater. Process. Technol.

, 136

(1-3

), pp. 190

–201

.2.

Martin

, H.

, 1977

, “Heat and Mass Transfer between Impinging Gas Jets and Solid Surfaces

,” Adv. Heat Transfer

, 13

, pp. 1

–60

.3.

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

.4.

Donaldson

, C. D.

, and Snedeker

, R. S.

, 1971

, “A Study of Free Jet Impingement. Part 1. Mean Properties of Free and Impinging Jets

,” J. Fluid Mech.

, 45

(2

), pp. 281

–319

.5.

Viskanta

, R.

, 1993

, “Heat Transfer to Impinging Isothermal Gas and Flame Jets

,” Exp. Therm. Fluid Sci.

, 6

, pp. 111

–134

.6.

Han, J.-C., Dutta, S., and Ekkad, S., 2000,

*Gas Turbine Heat Transfer and Cooling Technology*, Taylor and Francis, New York.7.

Taniguchi

, H.

, Miyamae

, S.

, Arai

, N.

, and Lior

, N.

, 2000

, “Power Generation Analysis for High Temperature Gas Turbine in Thermodynamic Process

,” AIAA J.

, 16

, pp. 557

–561

.8.

Lee

, J.

, and Lee

, S

, 2000

, “The Effect of Nozzle Configuration on Stagnation Region Heat Transfer Enhancement of Axisymmetric Jet Impingement

,” Int. J. Heat Mass Transfer

, 43

, pp. 3497

–3509

.9.

Burmeister, L. C., 1993,

*Convective Heat Transfer*, Wiley, New York.10.

Kang

, S. H.

, and Greif

, R.

, 1992

, “Flow and Heat Transfer to a Circular Cylinder with a Hot Impinging Jet

,” Int. J. Heat Mass Transfer

, 35

, pp. 2173

–2183

.11.

Beaubert

, F.

, and Viazzo

, S.

, 2002

, “Large Eddy Simulation of a Plane Impinging Jet

,” C. R. Mecanique

, 330

, pp. 803

–810

.12.

Gao

, S.

, and Voke

, P. R.

, 1995

, “Large-eddy Simulation of Turbulent Heat Transport in Enclosed Impinging Jets

,” Int. J. Heat Fluid Flow

, 16

, pp. 349

–356

.13.

Ha¨llqvist, T., 2003, “Numerical Study of Impinging Jets with Heat Transfer,” Licentiate Thesis, Royal Institute of Technology, Stockholm, Sweden.

14.

Olsson

, M.

, and Fuchs

, L.

, 1998

, “Large Eddy Simulations of a Forced Semiconfined Circular Impinging Jet

,” Phys. Fluids

, 10

(2

), pp. 476

–486

.15.

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

, pp. 500

–508

.16.

Chen, C.-J., and Jaw, S.-Y., 1998,

*Fundamentals of Turbulence Modeling*, Taylor and Francis, Washington, D. C.17.

Craft

, T. J.

, Graham

, L. J. W.

, and Launder

, B. E.

, 1993

, “Impinging Jet Studies for Turbulence Model Assessment—II. An Examination of the Performance of Four Turbulence Models

,” Int. J. Heat Mass Transfer

, 36

, pp. 2685

–2697

.18.

Bouainouche

, M.

, Bourabaa

, N.

, Desmet

, B.

, 1997

, “Numerical Study of the Wall Shear Stress Produced by the Impingement of a Plane Turbulent Jet on a Plate

,” Int. J. Numer. Methods Heat Fluid Flow

, 7

, pp. 548

–564

.19.

Heyerichs

, K.

, and Pollard

, A.

, 1996

, “Heat Transfer in Separated and Impinging Turbulent Flows

,” Int. J. Heat Mass Transfer

, 39

, pp. 2385

–2400

.20.

Cooper

, D.

, Jackson

, C.

, Launder

, B. E.

, and Liao

, G. X.

, 1993

, “Impinging Jet Studies for Turbulence Model Assessment—I. Flow-field Experiments

,” Int. J. Heat Mass Transfer

, 36

, pp. 2675

–2684

.21.

Craft

, T. J.

, Launder

, B. E.

, and Suga

, K.

, 1996

, “Development and Application of a Cubic Eddy-Viscosity Model of Turbulence

,” Int. J. Heat Fluid Flow

, 17

, pp. 108

–115

.22.

Turgeon

, E.

, and Pelletier

, D.

, 2001

, “Verification and Validation of Adaptive Finite Element Method for Impingement Heat Transfer

,” J. Thermophys. Heat Transfer

, 15

, pp. 284

–292

.23.

Merci

, B.

, Vierendeels

, I.

, DeLange

, C.

, and Dick

, E.

, 2003

, “Numerical Simulation of Heat Transfer of Turbulent Impinging Jets with Two-Equation Turbulence Models

,” Int. J. Numer. Methods Heat Fluid Flow

, 13

, pp. 110

–132

.24.

Souris

, N.

, Liakos

, H.

, Founti

, M.

, Palyvos

, J.

, and Markatos

, N.

, 2002

, “Study of Impinging Turbulent Jet Flows Using the Isotropic Low-Reynolds Number and the Algebraic Stress Methods

,” Comput. Mech.

, 28

, pp. 381

–389

.25.

Heck

, U.

, Fritsching

, K.

, and Bauckhage

, K.

, 2001

, “Fluid Flow and Heat Transfer in Gas Jet Quenching of a Cylinder

,” Int. J. Numer. Methods Heat Fluid Flow

, 11

, pp. 36

–49

.26.

Wilcox, D. C., 2002,

*Turbulence Modeling For CFD*, DCW Industries, La Can˜ada, CA.27.

Park

, T. H.

, Choi

, H. G.

, Yoo

, J. Y.

, and Kim

, S. J.

, 2003

, “Streamline Upwind Numerical Simulation of Two-Dimensional Confined Impinging Slot Jets

,” Int. J. Heat Mass Transfer

, 46

, pp. 251

–262

.28.

Chen

, Q.

, and Modi

, V.

, 1999

, “Mass Transfer in Turbulent Impinging Slot Jets

,” Int. J. Heat Mass Transfer

, 42

, pp. 873

–887

.29.

Shih

, T.-H.

, Liou

, W. W.

, Shabbir

, A.

, Yang

, Z.

, and Zhu

, J.

, 1995

, “A New k-ε Eddy-Viscosity Model for High Reynolds Number Turbulent Flows—Model Development and Validation

,” Comput. Fluids

, 24

(3

), pp. 227

–238

.30.

Abdon

, A.

, and Sunden

, B.

, 2001

, “Numerical Investigation of Impingement Heat Transfer using Linear and Nonlinear Two-Equation Turbulence Models

,” Numer. Heat Transfer, Part A

, 40

, pp. 563

–578

.31.

Park

, T. S.

, and Sung

, H. J.

, 2001

, “Development of a Near-wall Turbulence Model and Application to Jet Impingement Heat Transfer

,” Int. J. Heat Fluid Flow

, 22

, pp. 10

–18

.32.

Chen, C.-J., and Jaw, S.-Y., 1998,

*Fundamentals of Turbulence Modeling*, Taylor and Francis, Washington, D. C.33.

Funazaki, K., and Hachiya, K., 2003 “Systematic Numerical Studies on Heat Transfer and Aerodynamic Characteristics of Impingement Cooling Devices Combined with Pins,” Proceedings of ASME Turbo Expo 2003, 16–19 June 2003, Atlanta, GA.

34.

Demuren, A. O., 1994, “Calculations of 3D Impinging Jets in Crossflow with Reynolds Stress Models,”

*Heat Transfer in Turbomachinery*, R. J. Goldstein, D. E. Metzger, A. I. Leontiev, eds., Begell House, New York, pp. 527–540.35.

Shi

, Y.

, Ray

, M. B.

, and Mujumdar

, A. S.

, 2002

, “Computational Study of Impingement Heat Transfer under a Turbulent Slot Jet

,” Ind. Eng. Chem. Res.

, 41

, pp. 4643

–4651

.36.

Behnia

, M.

, Parneix

, S.

, Durbin

, P. A.

, 1998

, “Prediction of Heat Transfer in an Axisymmetric Turbulent Jet Impinging on a Flat Plate

,” Int. J. Heat Mass Transfer

, 41

, pp. 1845

–1855

.37.

Behnia

, M.

, Parneix

, S.

, Shabany

, Y.

, and Durbin

, P. A.

, 1999

, “Numerical Study of Turbulent Heat Transfer in Confined and Unconfined Impinging Jets

,” Int. J. Heat Fluid Flow

, 20

, pp. 1

–9

.38.

Sveningsson

, A.

, and Davidson

, L.

, 2003

, “Assessment of Realizability Constraints and Boundary Conditions in v2-f Turbulence Models

,” Turbulence, Heat, and Mass Transfer

, 4

, pp. 585

–592

.39.

Thielen

, L.

, Jonker

, H. J. J.

, and Hanjalic´

, K.

, 2003

, “Symmetry Breaking of Flow and Heat Transfer in Multiple Impinging Jets

,” Int. J. Heat Fluid Flow

, 24

, pp. 444

–453

.40.

Menter, F. R., “Zonal Two Equation k-ω Turbulence Models for Aerodynamic Flows,” AIAA-93-2906.

41.

Esch, T., Menter, F., and Vieser, W., 2003, “Heat Transfer Predictions Based on Two-Equation Turbulence Models,” TED-AJ03-542, The 6th ASME-JSME Thermal Engineering Joint Conference, 16–20, March 2003.

42.

Goldstein

, R. J.

, and Behbahani

, A. I.

, 1982

, “Impingement of a Circular Jet With and Without Crossflow

,” Int. J. Heat Mass Transfer

, 25

, pp. 1377

–1382

.43.

Goldstein

, R. J.

, Behbahani

, A. I.

, and Heppelmann

, K. K.

, 1986

, “Streamwise Distribution of the Recovery Factor and the Local Heat Transfer Coefficient to an Impinging Circular Air Jet

,” Int. J. Heat Mass Transfer

, 29

, pp. 1227

–1235

.44.

Lytle

, D.

, and Webb

, B. W.

, 1994

, “Air Jet Impingement Heat Transfer at low Nozzle-plate Spacings

,” Int. J. Heat Mass Transfer

, 37

, pp. 1687

–1697

.45.

Meola

, C.

, de Luca

, L.

, and Carlomagno

, G. M.

, 1996

, “Influence of Shear Layer Dynamics on Impingement Heat Transfer

,” Exp. Therm. Fluid Sci.

, 13

, pp. 29

–37

.46.

Mohanty

, A. K.

, and Tawfek

, A. A.

, 1993

, “Heat Transfer Due to a Round Jet Impinging Normal to a Flat Surface

,” Int. J. Heat Mass Transfer

, 36

, pp. 1639

–1647

.47.

Tawfek

, A. A.

, 1996

, “Heat Transfer and Pressure Distributions of an Impinging Jet on a Flat Surface

,” Heat Mass Transfer

, 32

, pp. 49

–54

.48.

Wen

, M.-Y.

, and Jang

, K.-J.

, 2003

, “An Impingement Cooling on a Flat Surface by Using Circular Jet with Longitudinal Swirling Strips

,” Int. J. Heat Mass Transfer

, 46

(24

), pp. 4657

–4667

.49.

Chan

, T. L.

, Leung

, C. W.

, Jambunathan

, K. J

, Ashforth-Frost

, S.

, Zhou

, Y.

, and Liu

, M. H.

, 2002

, “Heat Transfer Characteristics of a Slot Jet Impinging on a Semi-circular Convex Surface

,” Int. J. Heat Mass Transfer

, 45

, pp. 993

–1006

.50.

Florschuetz

, L. W.

, Truman

, C. R.

, and Metzger

, D. E.

, 1981

, “Streamwise Flow and Heat Transfer Distributions for Jet Array Impingement with Crossflow

,” ASME J. Heat Transfer

, 103

, pp. 337

–342

.51.

Gori

, F.

, and Bossi

, L.

, 2003

, “Optimal Slot Height in the Jet Cooling of a Circular Cylinder

,” Appl. Therm. Eng.

, 23

, pp. 859

–870

.52.

Huber

, A. M.

, and Viskanta

, R.

, 1994

, “Effect of Jet-Jet Spacing on Convective Heat Transfer to Confined, Impinging Arrays of Axisymmetric Jets

,” Int. J. Heat Mass Transfer

, 37

, pp. 2859

–2869

.53.

San

, J. Y.

, and Lai

, M.

, 2001

, “Optimum Jet-to-Jet Spacing of Heat Transfer for Staggered Arrays of Impinging Air Jets

,” Int. J. Heat Mass Transfer

, 44

, pp. 3997

–4007

.54.

Goldstein

, R.

, and Seol

, W. S.

, 1991

, “Heat Transfer to a Row of Impinging Circular Air Jets Including the Effect of Entrainment

,” Int. J. Heat Mass Transfer

, 34

, pp. 2133

–2147

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