Conjugated heat transfer with the unsteady surface-element method
The unsteady surface-element method was originally developed for transient conduction heat transfer between two bodies in thermal contact over a small area. The method uses a Duhamel integral to express the problem as a set of integral equations. The method is computationally superior to finite-difference of finite-element methods because only the interface between the bodies must be discretized, and analytical solutions are possible at early and late times. This method is extended here to transient conjugated heat transfer, the simultaneous flow of heat through a fluid and an adjacent solid. The geometry of interest is a strip heater on a thick wall cooled by laminar air flow. The motivating application is the flush-mounted hot-film anemometer. Another application is the forced-convection cooling of electronic components. The semi-infinite wall and the slab wall geometry are examined for a step change in the strip heater output. For the semi-infinite wall, a new analytical solution is developed for the average temperature on the strip heater at early times. The steady-state results agree very well with an existing numerical solution. The slab-wall geometry Nusselt numbers compare favorably with literature calibration curves form hot-film shear-stress sensors.
- Research Organization:
- Michigan State Univ., East Lansing (USA)
- OSTI ID:
- 5214961
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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