✦ LIBER ✦
Stability and accuracy of power-series method for one-dimensional heat conduction with non-uniform grid systems
✍ Scribed by Kazuhiro Fukuyo
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 284 KB
- Volume
- 34
- Category
- Article
- ISSN
- 1099-2871
No coin nor oath required. For personal study only.
✦ Synopsis
The power-series method, a finite analytic approach to heat transfer and fluid flow problems that is based on power-series expansion, was applied to a one-dimensional heat-conduction problem to evaluate its stability and accuracy. Application to a specific heat-conduction problem with non-uniform grid systems showed that it had stability within the ranges 10 -5 < ∆t, ∆x E , and ∆x W , a < 10 5 , and 10 -5 < β < 10 5 . Comparison of its solutions with those by the fully implicit and Stefanovic-Stephan methods showed that this method yielded more accurate and robust solutions.