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Outline

An Approach to Robust Design of Turbulent Convective Systems

2006, Journal of Mechanical Design

https://doi.org/10.1115/1.2202882

Abstract

The complex turbulent flow regimes encountered in many thermal-fluid engineering applications have proven resistant to the effective application of systematic design because of the computational expense of model evaluation and the inherent variability of turbulent systems. In this paper the integration of a novel reduced order turbulent convection modeling approach based upon the proper orthogonal decomposition technique with the application of robust design principles implemented using the compromise decision support problem is investigated as an effective design approach for this domain. In the example application considered, thermally efficient computer server cabinet configurations that are insensitive to variations in operating conditions are determined. The computer servers are cooled by turbulent convection and have unsteady heat generation and cooling air flows, yielding substantial variability, yet have some of the most stringent operational requirements of any engineering ...

References (44)

  1. Pope, S.B., Turbulent Flows. 2000, New York: Cambridge University Press.
  2. Launder, B.E. and Spalding, D.B., Lectures in Mathematical Models of Turbulence. 1972, London, England: Academic Press.
  3. Schmidt, R. and Iyengar, M. "Effect of Data Center Layout on Rack Inlet Air Temperatures". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005-73385.
  4. Schmidt, R., Karki, K.C., Kelkar, K.M., Radmehr, A., and Patankar, S.V. "Measurements and Predictions of the Flow Distribution Through Perforated Tiles in Raised Floor Data Centers". The Pacific Rim / ASME International Electronics Packaging Technical Conference and Exhibition. 2001. Kauai, Hawaii, IPACK2001-15728.
  5. Patel, C., Bash, C., Belady, C., Stahl, L., and Sullivan, D. "Computational Fluid Dynamics Modeling of High Compute Density Data Centers to Assure System Inlet Air Specifications". IPACK'01 -The Pacific Rin/ASME International Electronics Packaging Technical Conference and Exhibition. 2001. Kauai, Hawaii: ASME, IPACK2001-15622.
  6. Iwasaki, H. and Ishizuka, M. "Natural Convection Air Cooling Characteristics of Plate Fins in a Ventilated Electronic Cabinet". ITHERM 1998 -Eight Intersociety Conference of Thermal and Thermomechanical Phenomena in Electronic Systems. 1998. Seattle, Washington, p. 124-129.
  7. Patel, C.D., Sharma, R., Bash, C., and Beitelmal, M. "Thermal Considerations in Cooling of Large Scale High Compute Density Data Centers". ITHERM 2002 -Eight Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems. 2002. San Diego, California, p. 767-776.
  8. Shrivastava, S., Sammakia, B., Schmidt, R., and Iyengar, M. "Comparative Analysis of Different Data Center Airflow Management Configurations". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005-73234.
  9. Rambo, J. and Joshi, Y. "Multi-Scale Modeling of High Power Density Data Centers". InterPACK03 -The Pacific Rim / ASME International Electronics Packaging Technical Conference and Exhibition. 2003. Kauai, Hawaii, InterPack2003-35297.
  10. Rambo, J. and Joshi, Y., Thermal Modeling of Technology Infrastructure Facilities: A Case Study of Data Centers, in The Handbook of Numerical Heat Transfer,p. 821-849, W.J. Minkowycz, E.M. Sparrow, and J.Y. Murthy, Editors. New York: Taylor and Francis, 2006.
  11. Shah, A., Carey, V., Bash, C., and Patel, C. "Exergy-Based Optimization Strategies for Multi- Component Data Center Thermal Management: Part I, Analysis". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005-73137.
  12. Iyengar, M., Schmidt, R., Sharma, A., McVicker, G., Shrivastava, S., Sri-Jayantha, S., Amemiya, Y., Dang, H., Chainer, T., and Sammakia, B. "Thermal Characterization of Non-Raised Floor Air Cooled Data Centers Using Numerical Modeling". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005-73387.
  13. Bhopte, S., Agonafer, D., Schmidt, R., and Sammakia, B. "Optimization of Data Center Room Layout to Minimize Rack Inlet Air Temperature". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005-73027.
  14. Holmes, P., Lumley, J.L., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry. 1996, Great Britain: Cambridge University Press.
  15. Chen, W., Allen, J.K., Tsui, K., and Mistree, F., 1996, "A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors". ASME Journal of Mechanical Design. 118: p. 478-485.
  16. Mistree, F., Hughes, O.F., and Bras, B., The Compromise Decision Support Problem and the Adaptive Linear Programming Algorithm, in AIAA Structural Optimization: Status and Promise,p. 247-286, M.P. Kamat, Editor. Washington, D.C.: AIAA, 1993.
  17. Simpson, T., Peplinski, J., Koch, P., and Allen, J., 2001, "Metamodels for Computer-Based Engineering Design: Survey and Recommendations". Engineering With Computers. 17: p. 129- 150.
  18. Loeve, M., Probability Theory. 1955, Princeton, NJ: Van Nostrand.
  19. Rambo, J. and Joshi, Y. "Reduced Order Modeling of Steady Turbulent Flows Using the POD". ASME Summer Heat Transfer Conference. 2005. San Francisco, California, USA: ASME, HT2005-72143.
  20. Rolander, N., 2005 "An Approach for the Design of Data Center Server Cabinets for Thermal Efficiency," MS Thesis, MS, George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.
  21. Lumley, J., The Structure of Inhomogeneous Turbulent Flows, in Atmospheric Turbulence and Radio Wave Propagation, p. 166-178, A.M. Yaglom and V.I. Tatarsky, Editors. Nauka, Moscow, 1967.
  22. Aubry, N., Holmes, P., Lumley, J., and Stone, E., 1988, "The Dynamics of Coherent Structures in the Wall Region of a Turbulent Boundary Layer". Journal of Fluid Mechanics. 192: p. 155-173.
  23. Sirovich, L., 1987, "Turbulence and the Dynamics of Coherent Structures, Part II: Symmetries and Transformations". Quart. Appl. Math. XLV(N3): p. 573-582.
  24. Berkooz, G., Holmes, P., Lumley, J., and Mattingly, J., 1997, "Low-Dimensional Models of Coherent Structures in Turbulence". Physics Reports -Review Section of Physics Letters. 287(N4): p. 338-384.
  25. Webber, G., Handler, R., and Sirovich, L., 1997, "The Karhunen-Loeve Decomposition of Minimal Channel Flow". Physics of Fluids. 9(4): p. 1054-1066.
  26. Moin, P. and Moser, R., 1989, "Characteristic-Eddy Decomposition of Turbulence in a Channel". Journal of Fluid Mechanics. 200: p. 417-509.
  27. Ball, K., Sirovich, L., and Keefe, L., 1991, "Dynamical Eigenfunction Decomposition of Turbulent Channel Flow". International Journal for Numerical Methods in Fluids. 12: p. 585-604.
  28. Rambo, J. and Joshi, Y. "Physical Models in Data Center Airflow Simulations". IMECE-03 - ASME International Mechanical Engineering Congress and R&D Exposition. 2003. Washington D.C., IMECE03-41381.
  29. Boucher, T.D., Auslander, D.M., Bash, C.E., Federspiel, C.C., and Patel, C.D. "Viability of Dynamic Cooling Control in a Data Center Environment". Inter Society Conference on Thermal Phenomena. 2004: IEEE, p. 593-600.
  30. Sharma, R.K., Bash, C., Patel, C.D., Friedrich, R.J., and Chase, J.S., "Balance of Power: Dynamic Thermal Management for Internet Data Centers". 2003, Whitepaper issued by Hewlet Packard Laboratories Palo Alto, Technical Report: HPL-2003-5.
  31. Patel, C., Sharma, R., Bash, C., and Graupner, S. "Energy Aware Grid: Global Workload Placement based on Energy Efficiency". International Mechanical Engineering Congress and Exposition. 2003. Washington, D.C., IMECE 2003-41443.
  32. VanGilder, J.W. and Schmidt, R. "Airflow Uniformity Through Perforated Tiles in a Raised-Floor Data Center". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005- 73375.
  33. Radmehr, A., Schmidt, R., Karki, K.C., and Patankar, S.V. "Distributed Leakage Flow in Raised- Floor Data Centers". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005-73273.
  34. Fluent Incorporated, Fluent v. 6.1 Users Manual. 2001, Lebanon, New Hampshire: Fluent Incorporated.
  35. Rolander, N., Rambo, J., Joshi, Y., and Mistree, F. "Robust Design if Air-Cooled Server Cabinets for Thermal Efficiency". ASME InterPACK. 2005. San Francisco, California, USA: ASME, IPACK2005-73171.
  36. Deane, A.E., Kevrekidis, I.G., Karniadakis, G.E., and Orszag, S.A., 1991, "Low-Dimensional Models for Complex Geometry Flows: Application to Grooved Channels and Circular Cylinders". Physics of Fluids A. 3(10): p. 2337-2354.
  37. Ma, X. and Karniadakis, G.E., 2002, "A Low-Dimensional Model for Simulating Three- Dimensional Cylinder Flows". Journal of Fluid Mechanics. 458: p. 181-190.
  38. Park, H.M. and Cho, D.H., 1996, "Low Dimensional Modeling of Flow Reactors". International Journal of Heat and Mass Transfer. 36: p. 359-368.
  39. Sirovich, L. and Tarman, I.H., 1998, "Extensions to the Karhunen-Loeve based Approximations of Complicated Phenomena". Computer Methods in Applied Mechanics and Engineering. 155: p. 359-368.
  40. Patankar, S.V., Numerical Heat Transfer and Fluid Flow. 1980, New York: McGraw Hill.
  41. Phadke, M.S., Quality Engineering using Robust Design. 1989, Englewood Cliffs, New Jersey: Prentice Hall.
  42. Gill, P., Murray, E.W., and Wright, M.H., Practical Optimization. 1981, London: Academic Press.
  43. Rambo, J. and Joshi, Y., 2005, "Arranging Servers in a Data Processing Cabinet to Optimize Thermal Performance". ASME Journal of Electronics Packaging. (Publication appearing in Dec 2005).
  44. Mourelatos, Z.P. and Liang, J. "An Efficient Unified Approach for Reliability and Robustness in Engineering Design". NSF Workshop on Reliable Engineering Computing. 2004. Savannah, Georgia, p. 127-138.