Heat Transfer During Melting and Solidification in Heterogeneous Materials

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dc.contributor.authorSayar, Sepidehen
dc.contributor.committeechairVick, Brian L.en
dc.contributor.committeememberThomas, James R. Jr.en
dc.contributor.committeememberScott, Elaine P.en
dc.contributor.committeememberThole, Karen A.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T20:49:34Zen
dc.date.adate2000-12-18en
dc.date.available2014-03-14T20:49:34Zen
dc.date.issued2000-12-06en
dc.date.rdate2001-12-18en
dc.date.sdate2000-12-15en
dc.description.abstractA 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.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-12152000-112941en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12152000-112941/en
dc.identifier.urihttp://hdl.handle.net/10919/36147en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartSepidehSayarPDF.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMeltingen
dc.subjectPhase changingen
dc.subjectSolidificationen
dc.subjectHeterogeneous Materialen
dc.subjectFinite Difference Method (FDM)en
dc.subjectNumerical Methoden
dc.titleHeat Transfer During Melting and Solidification in Heterogeneous Materialsen
dc.typeThesisen
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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