Date of Award


Document Type


Degree Name

Master of Science in Applied Mathematics


Department of Mathematics and Statistics

First Advisor

William P. Baker, PhD

Second Advisor

Anthony N. Palazotto, PhD


The objective of this research is to develop a numerical method to characterize heat transfer and wear rates for samples of Vascomax® 300, or Maraging 300, steel. A pin-on-disc experiment was conducted in which samples were exposed to a high-pressure, high-speed, sliding contact environment. This sliding contact generates frictional heating that influences the temperature distribution and wear characteristics of the test samples. A two-dimensional nonlinear heat transfer equation is discretized and solved via a second-order explicit finite difference scheme to predict the transient temperature distribution of the pin. This schematic is used to predict the removal of material from the specimens over time based on the temperature profile of the pin. The solutions presented also consider the experimental data and are used to determine characteristics of the contact interface and pin surface associated with the material removal process.

AFIT Designator


DTIC Accession Number



Co-advised thesis.