General solution for thermal spreading and system resistances of a circular source on a finite circular cylinder with uniform side and end cooling is presented. The solution is applicable for a general axisymmetric heat flux distribution which reduces to three important distributions including isoflux and equivalent isothermal flux distributions. The dimensionless system resistance depends on four dimensionless system parameters. It is shown that several special cases presented by many researchers arise directly from the general solution. Tabulated values and correlation equations are presented for several cases where the system resistance depends on one system parameter only. When the cylinder sides are adiabatic, the system resistance is equal to the one-dimensional resistance plus the spreading resistance. When the cylinder is very long and side cooling is small, the general relationship reduces to the case of an extended surface (pin fin) with end cooling and spreading resistance at the base. The special case of an equivalent isothermal circular source on a very thin infinite circular disk is presented.
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June 2003
Technical Papers
Thermal Resistances of Circular Source on Finite Circular Cylinder With Side and End Cooling
M. M. Yovanovich, Distinguished Professor Emeritus, Principal Scientific Advisor,
M. M. Yovanovich, Distinguished Professor Emeritus, Principal Scientific Advisor,
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
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M. M. Yovanovich, Distinguished Professor Emeritus, Principal Scientific Advisor,
Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Contributed by the Electronic and Photonic Packaging Division for publication in the JOURNAL OF ELECTRONIC PACKAGING. Manuscript received by the EPPD Division February 25, 2002. Guest Editors: Y. Muzychka and R. Culham.
J. Electron. Packag. Jun 2003, 125(2): 169-177 (9 pages)
Published Online: June 10, 2003
Article history
Received:
February 25, 2002
Online:
June 10, 2003
Citation
Yovanovich, M. M. (June 10, 2003). "Thermal Resistances of Circular Source on Finite Circular Cylinder With Side and End Cooling ." ASME. J. Electron. Packag. June 2003; 125(2): 169–177. https://doi.org/10.1115/1.1568124
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