- Author
- Kavoosi, F. | diMarzo, M. | Baum, H. R. | Evans, D. D.
- Title
- Application of Boundary Element Methods to a Transient Axisymmetric Heat Conduction Problem.
- Coporate
- Maryland Univ., College Park National Institute of Standards and Technology, Gaithersburg, MD
- Report
- HTD-Vol. 110,
- Book or Conf
- American Society of Mechanical Engineers. Numerical Heat Transfer With Personal Computers and Supercomputing. National Heat Transfer Conference, 1989. HTD-Vol. 110. August 6-9, 1989, ASME, New York, Philadelphia, PA, Shah, R. K., Editors, 79-85 p., 1989
- Keywords
- heat transmission | conductive heat transfer | solid fuels | cooling | droplets
- Abstract
- A long term study of the phenomena controlling the extinguishment of solid fuel fires is based on modelling of the interactions of sprinkler generated droplets impinging on hot solid surfaces. The thermal interactions during the evaporation of a liquid droplet deposited on a low conductivity semi-infinite solid are complex because the evaporative process is coupled to intense local cooling of the solid. Sharp temperature gradients in the proximity of the droplet edge can cause instabilities in finite difference solutions using reasonable time steps due to the explicit coupling of the liquid-solid region. A boundary element method is proposed in order to overcome these difficulties. The methodology and its application to this specific problem are described in detail. Formal solutions are obtained in the form of surface integrals over the solid and the droplet surfaces. These surface integrals are discretized into summations, which lead to matrix equations for the discretized surface temperature and heat fluxes. Results for some preliminary tests are discussed to provide an insight on the various aspect of this solution procedure.