Spreading Resistance in Layers

Develop analytical algorithms for calculating the spreading resistance from an isoflux source to a two-layer flux channel with convective or conductive boundaries. Circular source on circular disk. Rectangular source on rectangular flux channel. The series solutions are easily programmed and are available as interactive web-based tools as http://www.mhtl.uwaterloo.ca/???

A separation of variables approach is used to calculated the spreading resistance from planar heat sources of arbitrary dimensions to a compound heat flux channel. Limiting cases are examined for circular, rectangular and strip sources to finite, compound channels, half spaces and semi-infinite flux tubes. Solutions are presented for both two and three dimensional.

Yovanovich, M.M., Muzychka, Y.S. and Culham, J.R., 1998, "Spreading Resistance of Isoflux Rectangles and Strips on Compound Flux Channels,", AIAA 36th Aerospace Sciences Meeting & Exhibit, Reno, NV, January 12-15. Yovanovich, M.M., Culham, J.R., and Teertstra, P., 1998, ``Analytical Modeling of Spreading Resistance in Flux Tubes, Half Spaces and Compound Disks,'' IEEE Transactions on Components, Packaging and Manufacturing Technology, Part A, Vol. 21, No. 1, pp. 168-176.