2008Unpublished venueRequires access

Analytical and Numerical Study of the Evaporation of a Single Fuel Droplet With a Vaporized Fuel Background

Mehdi Abarham, Indrek S. Wichman

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Abstract

A simplified set of equations is examined for the problem of droplet evaporation. The equations employ the Clausius-Clapeyron boundary condition for the surface fuel-vapor condensation, which is responsible for numerous interesting mathematical behaviors, including the existence of an initial condensation stage followed by the classical d2-evaporation stage. Numerical methods of analysis are used, in conjunction with asymptotic analysis of each stage: (I) condensation; (II) transition; (III) evaporation. Comparisons are made with previous experiments. A brief discussion is provided of effective droplet evaporation in partial condensation environments.

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A simplified set of equations is examined for the problem of droplet evaporation. The equations employ the Clausius-Clapeyron boundary condition for the surface fuel-vapor condensation, which is responsible for numerous interesting mathematical behaviors, including the existence of an initial condensation stage followed by the classical d2-evaporation stage. Numerical methods of analysis are used, in conjunction with asymptotic analysis of each stage: (I) condensation; (II) transition; (III) evaporation. Comparisons are made with previous experiments. A brief discussion is provided of effective droplet evaporation in partial condensation environments.

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Available abstract

A simplified set of equations is examined for the problem of droplet evaporation. The equations employ the Clausius-Clapeyron boundary condition for the surface fuel-vapor condensation, which is responsible for numerous interesting mathematical behaviors, including the existence of an initial condensation stage followed by the classical d2-evaporation stage. Numerical methods of analysis are used, in conjunction with asymptotic analysis of each stage: (I) condensation; (II) transition; (III) evaporation. Comparisons are made with previous experiments. A brief discussion is provided of effective droplet evaporation in partial condensation environments.

Key concepts: Evaporation, Condensation, Thermodynamics, Mechanics, Stage (stratigraphy), Boundary value problem, Materials science, Mathematics

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