Application of the Galerkin method to calculation of temperature in a body exposed to periodically varying boundary conditions

✍ Scribed by John Dewey Jones

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 544 KB
• Volume: 26
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620260607

✦ Synopsis

Determination of the temperature fluctuations in the combustion-chamber walls of an engine is one of many engineering applications requiring calculation of the temperature distribution in a body exposed to periodically varying boundary conditions. In this paper it is shown that, under suitable circumstances, the temperature distribution within such a body can be resolved into spatially varying and temporally varying terms. Repeated application of the Galerkin method allows this temperature distribution to be approximated by the solution of a complex matrix equation. The solution method is rapid, stable, and can be taken to any desired accuracy. A sample calculation is shown for the cylinder liner of an insulated diesel engine, taking into account the effects of time-varying convective and radiative heat transfer and frictional heating.