Calculations of Steady and Pulsating Impinging Jets—An Assessment of 13 Widely used Turbulence Models

REFERENCES

• H. Martin , Heat and Mass Transfer between Impinging Gas Jets and Solid Surfaces , Adv. in Heat Transfer , vol. 13 , pp. 1 – 60 , 1977 .
   Google Scholar
• K. Jambunathan , E. Lai , M. A. Moss , and B. L. Button , A Review of Heat Transfer Data for Single Circular Jet Impingement , Int. J. Heat Fluid Flow , vol. 13 , pp. 106 – 115 , 1992 .
   Web of Science ®Google Scholar
• S. Polat , Heat and Mass Transfer in Impingement Drying , Drying Technol. , vol. 11 , pp. 1147 – 1176 , 1993 .
   Web of Science ®Google Scholar
• R. Viskanta , Heat Transfer to Impinging Isothermal Gas and Flame Jets , Exp. Thermal Fluid Sci. , vol. 6 , pp. 111 – 134 , 1993 .
   Web of Science ®Google Scholar
• J. W. Gauntner , J. N. B. Livingood , and P. Hrycak , Survey of Literature on Flow Characteristics of a Single Turbulent Jet Impinging on a Flat Plate, NASA TN D-5652 N70-18963 , Boulder , CO , USA , 1970 .
   Google Scholar
• R. Gardon and J. Conbonpue , Heat Transfer between a Flat Plate and Jets of Air Impinging on It , Int. Heat Transfer Conf. , pp. 454 – 459 , 1961 .
   Google Scholar
• E.-U. Schlünder and V. Gnielinksi , Wärme- und Stoffübergang zwischen Gut und aufprallendem Düsenstrahl , Chem. Ing. Tech. , vol. 39 , pp. 578 – 584 , 1967 .
   Web of Science ®Google Scholar
• T. J. Craft , L. J. W. Graham , and B. E. Launder , Impinging Jet Studies for Turbulence Model Assessment—II. An Examination of the Performance of Four Turbulence Models , Int. J. Heat Mass Transfer , vol. 36 , pp. 2685 – 2697 , 1993 .
   Web of Science ®Google Scholar
• P. Durbin , Separated Flow Computations with the k − ∊ − ν 2 Model , AIAA J. , vol. 33 , pp. 659 – 664 , 1995 .
   Google Scholar
• B. Merci , C. De Langhe , K. Lodefier , and E. Dick , Axisymmetric Impingement Heat Transfer with a Nonlinear k − ∊ Model , J. Thermophys. Heat Transfer , vol. 18 , pp. 100 – 107 , 2004 .
   Web of Science ®Google Scholar
• M. Behnia , S. Parneix , and P. A. Durbin , Prediction of Heat Transfer in an Axisymmetric Turbulent Jet Impinging on a Flat Plate , Int. J. Heat Mass Transfer , vol. 41 , pp. 1845 – 1855 , 1998 .
   Web of Science ®Google Scholar
• L. Thielen , K. Hanjalic , R. Manceau , and H. Jonker , Turbulence Modelling in a Single Normally Impinging Jet , Proc. 2001 ASME-PVP Conf., 3rd Int. Symp. Computer Technology Fluid/Thermal/Chemical Systems Industrial Applications , Atlanta , GA , 2001 .
   Google Scholar
• T. J. Craft , H. Iacovides , and Y. H. Yoon , Progress in the Use of Non-linear Two-Equation Models in the Computation of Convective Heat Transfer in Impinging and Separated Flows, Flow, Turbulence Combustion , vol. 63, pp. 59–80, 2000.
   Web of Science ®Google Scholar
• S. Polat , S. Huang , A. S. Mujumdar , and W. J. M. Douglas , Numerical Flow and Heat Transfer under Impinging Jets: A Review , Annu. Rev. Numer. Fluid Mech. Heat Transfer , vol. 2 , pp. 157 – 197 , 1989 .
   Google Scholar
• N. Zuckerman and N. Lior , Impingement Heat Transfer, Correlations and Numerical Modeling , J. Heat Transfer , vol. 127 , pp. 544 – 552 , 2005 .
   Web of Science ®Google Scholar
• T. Cziesla , E. Tandogan , and N. K. Mitra , Large-Eddy Simulation of Heat Transfer from Impinging Slot Jets , Numer. Heat Transfer A , vol. 32 , pp. 1 – 17 , 1997 .
   Web of Science ®Google Scholar
• M. M. Rahman and A. J. Bula , Conjugate Heat Transfer during Free Jet Impingement of a High Prandtl Number Fluid , Numer. Heat Transfer A , vol. 36 , pp. 139 – 162 , 1999 .
   Web of Science ®Google Scholar
• D. M. Schafer , S. Ramadhyani , and F. P. Incropera , Numerical Simulation of Laminar Convection Heat Transfer from an In-line Array of Discrete Sources to a Confined Rectangular Jet , Numer. Heat Transfer A , vol. 22 , pp. 121 – 141 , 1992 .
   Web of Science ®Google Scholar
• S. Z. Shuja , B. S. Yilbas , and M. O. Budair , Gas Jet Impingement on a Surface Having a Limited Constant Heat Flux Area: Various Turbulence Models , Numer. Heat Transfer A , vol. 36 , pp. 171 – 200 , 1999 .
   Web of Science ®Google Scholar
• Y. M. Kim , H. M. Shang , C. P. Chen , and T. S. Wang , Prediction of Confined Swirling Spray-Combusting Flows , Numer. Heat Transfer A , vol. 25 , pp. 1 – 19 , 1994 .
   Web of Science ®Google Scholar
• D. L. Besserman , S. Ramadhyani , and F. P. Incropera , Numerical Simulation of Laminar Flow and Heat Transfer for Liquid Jet Impingement Cooling of a Circular Heat Source with Annular Collection of the Spent Fluid , Numer. Heat Transfer A , vol. 20 , pp. 263 – 278 , 1991 .
   Web of Science ®Google Scholar
• H. M. Hofmann , Wärmeübergang beim pulsierenden Prallstrahl, Dissertation Universität Karlsruhe (TH) , Karlsruhe , Germany , 2005 .
   Google Scholar
• H. Hofmann , H. Martin , and M. Kind , Experimental Setup for Heat Transfer Measurements in Pulsating Impinging Jet Flow , Proc. Int. Symp. on Transient Convective Heat and Mass Transfer in Single and Two-Phase Flows , Cesme , Turkey , 2003 , pp. 373 – 381 .
   Google Scholar
• H. M. Hofmann , H. Martin , and M. Kind , Measurements on Steady State Heat Transfer and Flow Structure and New Correlations on Heat and Mass Transfer in Submerged Impinging Jets , Int. J. Heat Mass Transfer , to be published , 2007 .
   Web of Science ®Google Scholar
• H. M. Hofmann , D. Movileanu , H. Martin , and M. Kind , Influence of a Pulsation on Heat Transfer and Flow Structure in Submerged Impinging Jets , Int. J. Heat Mass Transfer , to be published , 2007 .
   Web of Science ®Google Scholar
• M. Wolfshtein , The Velocity and Temperature Distribution of One-Dimensional Flow with Turbulence Augmentation and Pressure Gradient , Int. J. Heat Mass Transfer , vol. 12 , pp. 301 – 318 , 1969 .
   Web of Science ®Google Scholar
• H. C. Chen and V. C. Patel , Near-Wall Turbulence Models for Complex Flows including Separation , AIAA J. , vol. 26 , pp. 641 – 648 , 1988 .
   Google Scholar
• B. E. Launder and D. B. Spalding , Lectures in Mathematical Models of Turbulence , Academic Press , London , 1972 .
   Google Scholar
• V. Yakhot and S. A. Orszag , Renormalization Group Analysis of Turbulence. I. Basic Theory , J. Sci. Comput. , vol. 1 , pp. 3 – 51 , 1986 .
   Google Scholar
• T. -H. Shih , W. W. Liou , A. Shabbir , Z. Yang , and J. Zhu , New k − ∊ Eddy Viscosity for High Reynolds Number Turbulent Flows , Comput. Fluids , vol. 24 , pp. 227 – 238 , 1995 .
   Web of Science ®Google Scholar
• M. M. Gibson and B. E. Launder , Ground Effects on Pressure Fluctuations in the Atmospheric Boundary Layer , J. Heat Transfer , vol. 86 , pp. 491 – 511 , 1978 .
   Google Scholar
• B. E. Launder , Second-Moment Closure: Present…and Future? Int. J. Heat Fluid Flow , vol. 10 , pp. 282 – 300 , 1989 .
   Web of Science ®Google Scholar
• B. E. Launder and N. Shima , Second-Moment Closure for the Near-Wall Sublayer: Development and Application , AIAA J. , vol. 27 , pp. 1319 – 1325 , 1989 .
   Google Scholar
• B. E. Launder and B. I. Sharma , Application of the Energy-Dissipation Model of Turbulence to the Calculation of Flow near a Spinning Disc, Lett. Heat Mass Transfer , vol. 1, pp. 131–138, 1974.
   Google Scholar
• W. P. Jones and B. E. Launder , The Prediction of Laminarization with a Two-Equation Model of Turbulence , Int. J. Heat Mass Transfer , vol. 15 , pp. 301 – 314 , 1972 .
   Web of Science ®Google Scholar
• R. Abid , A Two-Equation Turbulence Model for Compressible Flows , AIAA 22nd Fluid Dynamics, Plasma Dynamics and Laser Conf. , Honolulu , Hawaii , 1991 , pp. 1 – 10 .
   Google Scholar
• K. Abe , T. Kondoh , and Y. Nagano , A New Turbulence Model for Predicting Fluid Flow and Heat Transfer in Separating and Reattaching Flows—I. Flow Field Calculations , Int. J. Heat Mass Transfer , vol. 37 , pp. 139 – 151 , 1994 .
   Web of Science ®Google Scholar
• Y. Nagano and M. Tagawa , An Improved k − ∊ Model for Boundary Layer Flows , J. Fluids Eng. , vol. 112 , pp. 33 – 39 , 1990 .
   Web of Science ®Google Scholar
• D. C. Wilcox , Turbulence Modeling for CFD , DCW Industries , LaCanada , CA , 2000 .
   Google Scholar
• F. R. Menter , Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications , AIAA J. , vol. 32 , pp. 1598 – 1605 , 1994 .
   Web of Science ®Google Scholar
• S. H. Seyedein , M. Hasan , and A. S. Mujumdar , Modelling of a Single Confined Turbulent Slot Jet Impingement Using Various k − ∊ Turbulence Models , Appl. Math. Modell. , vol. 18 , pp. 526 – 537 , 1994 .
   Web of Science ®Google Scholar
• R. Courant , K. Friedrichs , and H. Levy , On the Partial Difference Equations of Mathematical Physics , IBM J. , vol. 6 , pp. 215 – 234 , 1967 .
   Google Scholar