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A mathematical model for atmospheric ice accretion and water flow on a cold surface. (English) Zbl 1078.76074
Summary: A mathematical model is developed to describe ice accretion and water flow on a cold substrate of arbitrary shape. It is shown how the model may be applied to practical substrate shapes, such as flat surface, cylinder and aerofoil. A numerical scheme to solve the governing equations is then described. Results are presented for an aerofoil under conditions appropriate to in-flight icing and for a cylinder in conditions for atmospheric icing.
MSC:
76T99Two-phase and multiphase flows
76M12Finite volume methods (fluid mechanics)
80A22Stefan problems, phase changes, etc.
80A20Heat and mass transfer, heat flow
86A40Glaciology