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TECHNICAL NOTES

Three-Dimensional Conjugate Heat Transfer in a Horizontal Channel With Discrete Heating

[+] Author and Article Information
Qinghua Wang, Yogesh Jaluria

Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, Piscataway, NJ 08854-8058

J. Heat Transfer 126(4), 642-647 (Mar 24, 2004) (6 pages) doi:10.1115/1.1773195 History: Received May 22, 2003; Revised March 24, 2004
Copyright © 2004 by ASME
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References

Wang,  Q., and Jaluria,  Y., 2002, “Instability and Heat Transfer in Mixed Convection Flow in a Horizontal Duct With Discrete Heat Sources,” Numer. Heat Transfer, 42, pp. 445–463.
Nakayama,  W., 1997, “Forced Convective/Conductive Conjugate Heat Transfer in Microelectronic Equipment,” Annu. Rev. Heat Transfer, 8, pp. 1–45.
Sugavanam,  R., Ortega,  A., and Choi,  C. Y., 1995, “A Numerical Investigation of Conjugate Heat Transfer From a Flush Heat Source on a Conductive Board in Laminar Channel Flow,” Int. J. Heat Mass Transfer, 38, pp. 2969–2984.
Kim,  S. Y., Sung,  H. J., and Hyun,  J. M., 1992, “Mixed Convection From Multiple-Layered Board With Cross-Streamwise Periodic Boundary Conditions,” Int. J. Heat Mass Transfer, 35(11), pp. 2941–2952.
Ramadhyani,  S., Moffatt,  D. F., and Incropera,  F. P., 1985, “Conjugate Heat Transfer From Small Isothermal Heat Sources Embedded in a Large Substrate,” Int. J. Heat Mass Transfer, 28(10), pp. 1945–1952.
Nigen,  J. S., and Amon,  C. H., 1994, “Time-Dependent Conjugate Heat Transfer Characteristics of Self-Sustained Oscillatory Flows in a Grooved Channel,” J. Fluids Eng., 116, pp. 449–507.
Nicolas,  X., Luijkx,  J. M., and Platten,  J. K., 2000, “Linear Stability of Mixed Convection Flows in Horizontal Rectangular Channels of Finite Transversal Extension Heated From Below,” Int. J. Heat Mass Transfer, 43, pp. 589–610.
Yu,  C. H., Chang,  M. Y., Huang,  C. C., and Lin,  T. F., 1997, “Unsteady Vortex Rolls Structures in a Mixed Convection Air Flow Through a Horizontal Plane Channel: A Numerical Study,” Int. J. Heat Mass Transfer, 40, pp. 505–518.
Chang,  M. Y., Yu,  C. H., and Lin,  T. F., 1997, “Flow Visualization and Numerical Simulation of Transverse and Mixed Vortex Roll Formation in Mixed Convection of Air in a Horizontal Flat Duct,” Int. J. Heat Mass Transfer, 40, pp. 1907–1922.
Lir,  J. T., Chang,  M. Y., and Lin,  T. F., 2001, “Vortex Flow Patterns Near Critical State for Onset of Convection in Air Flow Through a Bottom Heated Horizontal Flat Duct,” Int. J. Heat Mass Transfer, 44, pp. 705–719.
Lin,  W. L., Ker,  Y. T., and Lin,  T. F., 1996, “Experimental Observation and Conjugate Heat Transfer Analysis of Vortex Flow Development in Mixed Convection of Air in a Horizontal Rectangular Duct,” Int. J. Heat Mass Transfer, 39, pp. 3667–3683.
Choi,  C. Y., and Kim,  S. J., 1996, “Conjugate Mixed Convection in a Channel: Modified Five Percent Deviation Rule,” Int. J. Heat Mass Transfer, 39, pp. 1223–1234.
Shah, R. K., and London, A. L., 1978, Laminar Flow Forced Convection in Ducts, Academic Press, Inc., New York, NY.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.

Figures

Grahic Jump Location
(a) Geometrical configuration for three-dimensional flow in a duct with flush-mounted discrete heat sources; (b) stream-wise arrangement of sources; (c) spanwise arrangement of sources
Grahic Jump Location
The distributions of temperature (top figure) and the local Nusselt number (bottom figure) on the fluid-solid interface, in the case of two streamwise-deployed heat sources, with Re=500, Gr=106,rk=50,Wh=1, and S=2
Grahic Jump Location
The effect of axial spacing S between heat sources on the average temperature (top figure), the normalized average temperature (middle figure), and the normalized ratio of conductive heat transfer to total heat input (bottom figure) from the heat sources, in the case of two streamwise-deployed sources, for Re=500, Gr=106, and rk=50
Grahic Jump Location
The effect of conductivity ratio rk on the average temperature (top figure) and ratio of conduction to total heat transfer of heat sources (bottom figure), in the case of two streamwise-deployed sources, at Re=500, Gr=106, and S=1. HEAT1 and HEAT2 represent the first and the second heat sources in the streamwise direction, respectively.
Grahic Jump Location
Variations of the average temperature (top figure) and ratio of convection to total heat transfer (bottom figure) over heat sources, with Reynolds numbers, in the case of two streamwise-deployed sources, at Gr=106 and rk=10. HEAT1 and HEAT2 represent the first and the second heat sources in the streamwise direction, respectively.
Grahic Jump Location
Variation of the average temperature with the spatial arrangement of the second heat source on the bottom, in the case of two streamwise-deployed sources, for Gr=106,rk=10,S=1, Re=100 (top figure), and Re=500 (bottom figure)
Grahic Jump Location
The temperature distribution (top figure) and the local Nusselt number (bottom figure) on the fluidsolid interface, in the case of two spanwise-deployed sources, for Re=500, Gr=106,rk=10,Wh=1, and Sh=1
Grahic Jump Location
The average temperature and the ratio of direct convection to total heat transfer (top figure), and the ratios of heat transfer in each direction to total heat transfer (bottom figure) from the heat sources at different spanwise spacings Sh, in the case of two spanwise-deployed sources, for Re=500, Gr=106,Wh=1, and rk=10. CD-UPS, DWS, WAL, and CNT represent heat conduction in the directions to the upstream, to the downstream, to the side-wall, and to the axis, respectively.

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