A new analytic technique for 3-D heat transfer from a cylinder with two or more axially interacting eccentrically embedded vessels with application to countercurrent blood flow
✍ Scribed by Y.L. Wu; S. Weinbaum; L.M. Jiji
- Book ID
- 104136072
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 656 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0017-9310
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✦ Synopsis
Ahstract--A new approximate analytic solution technique is developed for treating the heat exchange between two or more axially interacting vessels which are eccentrically embedded in a cylinder. The cylinder exchanges heat by convection with the environment and has a non-uniform surface temperature due to the vessel eccentricity. The flow in the vessels can be either countercurrent or unidirectional. The solution is constructed by superposition of a new solution for a single embedded vessel which exactly satisfies the boundary conditions when the thermal conductivity of the fluid is equal to that of the cylinder material and is a very good approximation when these conductivities are not equal. Comparison with an exact solution for a single embedded vessel, when the conductivities are not equal, shows that the approximate solution results in very minor errors for a wide range of the governing parameters. As an application of the new technique the two-vessel solution is used to examine the countercurrent heat exchange in a human arm.