Faculty Advisor

Tilley, Burt S.

Abstract

In this project we model the temperature, density, and conductivity throughout a one-dimensional rod as it goes through the process of electrically-aided sintering. The governing equations for this model are conservation of energy, conservation of charge density, and isotropic shrinkage that relates density and temperature. This coupled system of nonlinear, partial differential equations was numerically approximated by using Crank-Nicolson - Adams-Bashforth method. As the electrical power increases, the temperature of the specimen reaches oven temperature quicker. The relative density approaches one as it is heated and thus is being sintered.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2017

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

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