Faculty Advisor

Tilley, Burt S.


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.


Worcester Polytechnic Institute

Date Accepted

April 2017


Mathematical Sciences

Project Type

Major Qualifying Project


Restricted-WPI community only

Advisor Department

Mathematical Sciences

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