- Author
- Green, A.
- Title
- Simple Mathematical Model for the Brandschacht Test.
- Coporate
- Swedish National Testing Institute, Boras, Sweden
- Report
- SP REPORT 1995:45, 1995, 27 p.
- Keywords
- mathematical models | flame spread | cone calorimeters | computation | heat release rate | ignition time | building materials | equations | pyrolysis | flame height
- Identifiers
- numerical solution of the model; analytical solution of the model
- Abstract
- This report discusses the development of a simple mathematical model for the Brandschacht Test (DIN 4102:Part 1) using the theories of previous models for upward flame spread on a wall. It uses heat release rate and time to ignition data obtained in the Cone Calorimeter Test (ISO 5660) to attempt to predict the material performance in the larger scale test. The model is solved numerically for ten building materials and these initial results are promising. Although still in its infancy, the model could predict which of these materials would meet the criteria for Class B1 materials in terms of "restlange" (residual length) and showed a reasonable agreement with the heat release rate per unit area as measured in a modified Brandschacht at the German National Institute for Materials Research and Testing (BAM). An analytical solution of the model is also presented, but not evaluated here. However, the relevant equations and data are given. This is based on the mathematical representation of the cone calorimeter heat release rate curve, from ignition, as an exponential or polynomial function of time. It is proposed that in future work the model is improved to eliminate a number of the assumptions and some ideas are discussed.