- Author
- Panagiotou, T. | Delichatsios, M. A.
- Title
- Numerical Solution for the Surface Temperature Rise History of a Material Including Surface Reradiation Losses. Technical Report.
- Coporate
- Factory Mutual Research Corp., Norwood, MA
- Sponsor
- National Institute of Standards and Technology,
- Report
- FMRC J.I. 0Q0J1.BU; RC89-BT-3, December 1989, 92 p.
- Contract
- NBS-GRANT-60NANB5D0560
- Keywords
- solids | surface temperature | heat flux | equations | formulations | computer programs | algorithms | numerical analysis | pilot ignition
- Identifiers
- continuation method
- Abstract
- A new numerical method has been developed for calculating the surface temperature history of a thermally thick solid exposed to a fixed external heat flux including reradiation losses. The non-linear Volterra equation, which describes the surface temperature, has been solved by the continuation method. A corrector algorithm has also been used to check the accuracy and validity of the method. For large times, a different algorithm based on an Abel transformation of the original equation has been used to avoid instabilities which develop because of the singular behavior of the equation at large times. The numerical solution has been used to validate asymptotic and approximate solutions of the non-linear Volterra equation. These approximate solutions are required for the interpretation of time to ignition experimental data for the surface temperature rise history of a homogeneous noncharring material during the preheating period before pyrolysis starts.