Using the Error Function to Aid Analysis of Transport Processes in Finite Geometries.

Authors

  • Robert J. Fisher Massachusetts Institute of Technology

DOI:

https://doi.org/10.18260/2-1-370.660-134569

Abstract

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries. The appropriate solutions to the Diffusion Equation for semi-infinite geometries are developed using innovative protocols.These results can serve as detailed lecture notes.

Author Biography

Robert J. Fisher, Massachusetts Institute of Technology

Robert J. Fisher received degrees in Chemical Engineering from SUNY-Buffalo (B.S./M.S., 1969) and the University of Delaware (Ph.D.,1975). He is a station director and senior lecturer in the Chemical Engineering Department at the Massachusetts Institute of Technology. His teaching/research interests focus on transport phenomena and reaction engineering concepts for biomimetic and living systems. He is an avid supporter of innovative teaching paradigms that integrate STEM program components, particularly integrated applied mathematics (IAM) initiatives. 

Published

2025-01-16

Issue

Section

Class and Home Problems