Investigation into the performance of turbulence models for fluid flow and heat transfer phenomena in electronic applications

Computational Fluid Dynamics (CFD) is gradually becoming a powerful and almost essential tool for the design, development and optimization of engineering applications. However the mathematical modelling of the erratic turbulent motion remains the key issue when tackling such flow phenomena. The reliability of CFD analysis depends heavily on the turbulence model employed together with the wall functions implemented. In order to resolve the abrupt changes in the turbulent energy and other parameters situated at near wall regions a particularly fine mesh is necessary which inevitably increases the computer storage and run-time requirements. Turbulence modelling can be considered to be one of the three key elements in CFD. Precise mathematical theories have evolved for the other two key elements, grid generation and algorithm development. The principal objective of turbulence modelling is to enhance computational procedures of efficient accuracy to reproduce the main structures of three dimensional fluid flows. The flow within an electronic system can be characterized as being in a transitional state due to the low velocities and relatively small dimensions encountered. This paper presents simulated CFD results for an investigation into the predictive capability of turbulence models when considering both fluid flow and heat transfer phenomena. Also a new two-layer hybrid k/spl epsiv//kl turbulence model for electronic application areas will be presented which holds the advantages of being cheap in terms of the computational mesh required and is also economical with regards to run-time.

[1]  H. L. Norris,et al.  Turbulent channel flow with a moving wavy boundary , 1975 .

[2]  Dereje Agonafer,et al.  LVEL turbulence model for conjugate heat transfer at low Reynolds numbers , 1996 .

[3]  F. R. Menter,et al.  Influence of freestream values on k-omega turbulence model predictions , 1992 .

[4]  D. Wilcox.  Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

[5]  R. Martinuzzi,et al.  Energy balance for turbulent flow around a surface mounted cube placed in a channel , 1996 .

[6]  M.S.J. Hashmi,et al.  Numerical prediction of electronic component heat transfer: an industry perspective , 2003, Ninteenth Annual IEEE Semiconductor Thermal Measurement and Management Symposium, 2003..

[7]  E. Meinders.  Experimental study of heat transfer in turbulent flows over wall-mounted cubes. , 1998 .

[8]  K.K. Dhinsa,et al.  Turbulence modelling and it's impact on CFD predictions for cooling of electronic components , 2004, The Ninth Intersociety Conference on Thermal and Thermomechanical Phenomena In Electronic Systems (IEEE Cat. No.04CH37543).

[9]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[10]  R.C. Wilcox,et al.  Uncertainty modeling of data and uncertainty propagation for risk studies , 2003, Fourth International Symposium on Uncertainty Modeling and Analysis, 2003. ISUMA 2003..

[11]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[12]  V. C. Patel,et al.  Turbulence models for near-wall and low Reynolds number flows - A review , 1985 .

[13]  David C. Wilcox,et al.  The remarkable ability of turbulence model equations to describe transition , 1992 .

[14]  Hector Iacovides,et al.  Parametric and Numerical Study of Fully-Developed Flow and Heat Transfer in Rotating Rectangular Ducts , 1990 .

[15]  F. Menter.  Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[16]  F. Menter.  Improved two-equation k-omega turbulence models for aerodynamic flows , 1992 .

[17]  K. Hanjalić,et al.  Local convective heat transfer from an array of wall-mounted cubes , 1998 .

[18]  V. C. Patel,et al.  Near-wall turbulence models for complex flows including separation , 1988 .

[19]  F. Menter.  ZONAL TWO EQUATION k-w TURBULENCE MODELS FOR AERODYNAMIC FLOWS , 1993 .

[20]  C. Tropea,et al.  The Flow Around Surface-Mounted, Prismatic Obstacles Placed in a Fully Developed Channel Flow (Data Bank Contribution) , 1993 .

[21]  Kemal Hanjalic,et al.  Vortex structure and heat transfer in turbulent flow over a wall-mounted matrix of cubes , 1999 .

[22]  Peter Rodgers,et al.  Prediction of Microelectronics Thermal Behavior in Electronic Equipment: Status, Challenges and Future Requirements , 2004 .

[23]  Peter Rodgers,et al.  An Experimental Assessment of Computational Fluid Dynamics Predictive Accuracy for Electronic Component Operational Temperature , 2003 .

[24]  M. Wolfshtein.  The velocity and temperature distribution in one-dimensional flow with turbulence augmentation and pressure gradient , 1969 .

[25]  C. Bailey,et al.  Investigation into the performance of turbulence models for fluid flow and heat transfer phenomena in electronic applications , 2005, IEEE Transactions on Components and Packaging Technologies.

[26]  D. Wilcox.  Turbulence modeling for CFD , 1993 .

[27]  L. Prandtl.  7. Bericht über Untersuchungen zur ausgebildeten Turbulenz , 1925 .

[28]  C. Bailey,et al.  Low Reynolds number turbulence models for accurate thermal simulations of electronic components , 2004, 5th International Conference on Thermal and Mechanical Simulation and Experiments in Microelectronics and Microsystems, 2004. EuroSimE 2004. Proceedings of the.