Title page for ETD etd-12152000-112941


Type of Document Master's Thesis
Author Sayar, Sepideh
Author's Email Address ssayar@vt.edu
URN etd-12152000-112941
Title Heat Transfer During Melting and Solidification in Heterogeneous Materials
Degree Master of Science
Department Mechanical Engineering
Advisory Committee
Advisor Name Title
Vick, Brian L. Committee Chair
Scott, Elaine P. Committee Member
Thole, Karen A. Committee Member
Thomas, James R. Jr. Committee Member
Keywords
  • Melting
  • Phase changing
  • Solidification
  • Heterogeneous Material
  • Finite Difference Method (FDM)
  • Numerical Method
Date of Defense 2000-12-06
Availability unrestricted
Abstract
A one-dimensional model of a heterogeneous material consisting of a matrix with embedded separated particles is considered, and the melting or solidification of the particles is investigated. The matrix is in imperfect contact with the particles, and the lumped capacity approximation applies to each individual particle. Heat is generated inside the particles or is transferred from the matrix to the particles coupled through a contact conductance. The matrix is not allowed to change phase and energy is either generated inside the matrix or transferred from the boundaries, which is initially conducted through the matrix material. The physical model of this coupled, two-step heat transfer process is solved using the energy method.

The investigation is conducted in several phases using a building block approach. First, a lumped capacity system during phase transition is studied, then a one-dimensional homogeneous material during phase change is investigated, and finally the one-dimensional heterogeneous material is analyzed. A numerical solution based on the finite difference method is used to solve the model equations. This method allows for any kind of boundary conditions, any combination of material properties, particle sizes and contact conductance. In addition, computer programs, using Mathematica, are developed for the lumped capacity system, homogeneous material, and heterogeneous material. Results show the effects of control volume thickness, time step, contact conductance, material properties, internal sources, and external sources.

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