Reduced order modeling and experimental validation of steady turbulent convection in connected domains

International Journal of Heat and Mass Transfer

Volumn 51, Issue 25-26, 2008, Pages 6063-6076

  Nie, Qihong ^a   Joshi, Yogendra ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Flow network modeling; Multi scale; Proper orthogonal decomposition; Reduced order modeling; Server cabinet

Indexed keywords

AEROSPACE VEHICLES; BEAMS AND GIRDERS; NUMERICAL ANALYSIS;

BRIDGE LENGTHS; CHIP PACKAGES; COMPLETE SYSTEMS; COMPONENT MODELS; COMPUTATIONAL SIMULATIONS; COMPUTATIONALLY EXPENSIVE; CONNECTED DOMAINS; ELECTRONIC RACKS; ELECTRONICS SYSTEMS; ERROR NORMS; EXPERIMENTAL MEASUREMENTS; EXPERIMENTAL VALIDATIONS; FLOW NETWORK MODELING; IN CHIPS; MULTI-SCALE; MULTIPLE LENGTH SCALES; NUMERICAL CALCULATIONS; PRESSURE FIELDS; PROPER ORTHOGONAL DECOMPOSITION; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED ORDER MODELING; REDUCED ORDER MODELS; REDUCED ORDERS; SCALE CHARACTERIZATIONS; SIMULATION ERRORS; SYSTEM COMPONENTS; SYSTEM LEVELS; THROUGH FLOWS; TIME CONSUMING; TRANSPORT PHENOMENONS; TURBULENT CONVECTIONS;

EXPERIMENTS;

EID: 55549137043     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2008.04.068     Document Type: Article

References (31)

1. J. Rambo, Reduced-Order Modeling of Multiscale Turbulent Convection: Application to Data Center Thermal Management, Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA, 2006.
2. N. Rolander, An Approach for the Robust Design of Air Cooled Data Center Server Cabinets, MSME thesis, Georgia Institute of Technology, Atlanta, GA, 2005.
3. Shapiro B. Creating reduced-order models for electronic systems: an overview and suggested use of existing model reduction and experimental system identification tools. IEEE Trans. Compon. Parts Manuf. Technol. 26 1 (2003) 165-172
4. Zuo Z., and Hoover L.R. Advanced thermal architecture for cooling of high power electronics. IEEE Trans. Compon. Pack. Technol. 25 4 (2002) 629-634
5. Holmes P., Lumley J.L., and Berkooz G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry (1996), Cambridge University Press, Cambridge, Great Britain pp. 86-127
6. Deane A.E., Kevrekidis I.G., Karniadakis G.E., and Orszag S.A. Low-dimensional models for complex geometry flows: application to grooved channels and circular cylinders. Phys. Fluids A 3 10 (1991) 2337-2354
7. Galletti B., Bruneau C.H., Zannetti L., and Iollo A. Low-order modeling of laminar flow regimes past a confined square cylinder. J. Fluid Mech. 503 (2004) 161-170
8. Ma X., and Karniadakis G.E. A low-dimensional model for simulating three-dimensional cylinder flows. J. Fluid Mech. 458 (2002) 181-190
9. Park H.M., and Cho D.H. Low dimensional modeling of flow reactors. Int. J. Heat Mass Transfer 39 16 (1996) 3311-3323
10. Sirovich L. Turbulence and dynamics of coherent structures, Parts I-III. Quart. Appl. Math. XLV 3 (1987) 561-590
11. E. Arian, M. Fahl, E.W. Sachs, Trust-region Proper Orthogonal Decomposition for Flow Control, ICASE Report, NAS1-97046, Langley Research Center, Hampton, VA, May 2000.
12. Park H.M., and Kim O.Y. Reduction of modes for the control of viscous flows. Int. J. Eng. Sci. 39 (2001) 177-200
13. Park H.M., and Jung W.S. The Karhunen-Loeve Galerkin Method for the inverse natural convection problems. Int. J. Heat Mass Transfer 44 1 (2001) 155-167
14. Ravindran S.S. A reduced order approach to optimal control of fluids using proper orthogonal decomposition. Int. J. Numer. Meth. Fluids 34 5 (2000) 425-448
15. Ravindran S.S. Adaptive reduced-order controllers for a thermal flow using proper orthogonal decomposition. SIAM J. Sci. Comput. 23 6 (2002) 1924-1942
16. Ravindran S.S. Control of flow separation over a forward-facing step by model reduction. Comput. Meth. Appl. Mech. Eng. 191 41 (2002) 4599-4617
17. Jorgensen B.H., Sorensen J.N., and Brons M. Low-dimensional modeling of a driven cavity flow with two free parameters. Theor. Comput. Fluid Dyn. 16 (2003) 299-317
18. Rempfer D. On low-dimensional Galerkin Models for fluid flow. Theor. Comput. Fluid Dyn. 14 2 (2000) 75-88
19. Ly H.V., and Tran H.T. Modeling and control of physical processes using proper orthogonal decomposition. Math. Comput. Model. 33 (2001) 223-236
20. Rowley C.W., Colonius T., and Murray R.M. Model reduction for compressible flows using pod and Galerkin projection. Physica D 189 (2004) 115-129
21. Utturkar Y., Zhang B., and Shyy W. Reduced-order description of fluid flow with moving boundaries by proper orthogonal decomposition. Int. J. Heat Fluid Flow 26 (2005) 276-288
22. J. Rambo, Y. Joshi, Reduced order modeling of steady turbulent flows using the POD, in: ASME Summer Heat Transfer Conference, San Francisco, CA, 2005.
23. Rambo J., and Joshi Y. Reduced-order modeling of turbulent forced convection with parametric conditions. Int. J. Heat Mass Transfer 50 3-4 (2007) 539-551
24. T. Kowalski, A. Radmehr, Thermal analysis of an electronics enclosure: coupling flow network modeling (FNM) and computational fluid dynamics (CFD), in: IEEE 16th Semiconductor Thermal Measurement and Management Symposium, San Jose, CA, 2000, pp. 60-67.
25. Belady C., Kelkar K.M., and Patankar S.V. Improving productivity in electronic packaging with flow network modeling (FNM). Electron. Cooling 5 1 (1995) 36-40
26. B. Lian, T. Dishongh, D. Pullen, H. Yan, J. Chen, Flow network modeling for improving flow distribution of microelectronics burn-in-oven, in: The 7th Intersociety Conference on Thermal and Mechanical Phenomena in Electronic Systems, Las Vegas, NV, 2000, pp. 81-91.
27. Kader B. Temperature and concentration profiles in fully turbulent boundary layers. Int. J. Heat Mass Transfer 24 9 (1981) 1541-1544
28. Christensen E.A., Brons M., and Sorensen J.N. Evaluation of proper orthogonal decomposition - based techniques applied to parameter dependent nonturbulent flows. SIAM J. Sci. Comput. 21 4 (2000) 1419-1434
29. Idelchik I.E. Handbook of Hydraulic Resistance (1994), CRC Press, Florida pp. 8.1-8.30
30. Patankar S.V. Numerical Heat Transfer and Fluid Flow (1980), MacGraw Hill, New York pp. 121-135
31. X. Wei, Stacked Microchannel Heat Sinks for Liquid Cooling of Microelectronics Devices, Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA, 2004.