An exact solution for the solidification of a binary liquid slab

Author

Ansis Edgars Aumalis

Date of Award

8-1984

Degree Type

Thesis

Degree Name

Master of Science

Major

Engineering Science

Major Professor

Basil N. Antar

Committee Members

Frank Collins, Lloyd Crawford

Abstract

The time dependant temperature and concentration profiles of a one dimensional finite slab of a binary liquid alloy is investigated during solidification. The governing equations are reduced to a set of coupled, nonlinear initial value problems using the method outlined by Meyer in ref [11,12]. Two methods will be used to solve these equations. The first method uses a Runge-Kutta-Fehlberg integrator to solve the equations numerically. The second method comprises of finding closed form solutions of the equations.

Recommended Citation

Aumalis, Ansis Edgars, "An exact solution for the solidification of a binary liquid slab. " Master's Thesis, University of Tennessee, 1984.
https://trace.tennessee.edu/utk_gradthes/14574