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Analytical Solution for Heat Flow in Cylinder and Its Application in Calculating Converter Skin Temperature
Technical Paper
2000-01-0301
ISSN: 0148-7191, e-ISSN: 2688-3627
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Event:
SAE 2000 World Congress
Language:
English
Abstract
In the catalytic converter, the thermal conductivity of the insulation material (intumescent mat) placed between the ceramic catalyst and the metal shell is strongly dependent on the temperature, resulting in the solving of non-linear heat conduction equations. In this paper, the analytic solution for the steady heat flow in a cylinder with temperature dependent conductivity is given. Using this analytic solution for the mat and including convection and radiation at the converter skin, an analytical expression for calculating converter skin temperature is obtained. This expression can be easily incorporated in a Fortran code to calculate the temperatures.
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Citation
Li, F., "Analytical Solution for Heat Flow in Cylinder and Its Application in Calculating Converter Skin Temperature," SAE Technical Paper 2000-01-0301, 2000, https://doi.org/10.4271/2000-01-0301.Also In
References
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- Carslaw S. Jaeger J.C. “ Conduction of Heat in Solids ,” Second Clarendon Press 1986
- Hoyer Kevin Delphi Automobile Systimes 1999
- Anton Howard “Calculus with analytic geometry” Third John Wiley & Sons 1988