(Department of Mathematics, University of Manitoba)
Numerical Methods for Moving Boundary Problems: Ice Accretion as a Case Study
|Date||Tuesday, January 29, 2008|
Accretion of solid bodies is a common phenomenon and source of concern for a number of industries. The accretion of ice on structures in transportation and power transmission is well documented and a serious problem generating much interest in the processes involved. Typically this ice accretion occurs in conditions of freezing rain were a flow of super-cooled water droplets freeze upon impact with a cold surface. A mathematically model of this phenomenon described by Myers and Hammond consists of two one-dimensional heat equations with additional equations representing the ice water phase transition and the conservation of mass condition; the boundary conditions include one fixed (at the substrate surface) and two moving boundaries (at the ice-water and water-air interfaces). In this talk we discuss numerical solutions for this (Stefan) problem and results are presented for the ice growth and its temperature profile.