Temperature profile for heat conduction and convection of a Newtonian fluid with known velocity profile flowing through a pipe. The right axis is pipe length in meters; the left axis is radius in centimeters; and the vertical axis is temperature in Kelvin. This solution was generated in MATLAB using a finite difference method. See Problem Set 8 for an explanation. (Image courtesy of Professor Green.)
Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation. Topics: numerical linear algebra, solution of nonlinear algebraic equations and ordinary differential equations, solution of partial differential equations (e.g. Navier-Stokes), numerical methods in molecular simulation (dynamics, geometry optimization). All methods are presented within the context of chemical engineering problems. Familiarity with structured programming is assumed. The examples will use MATLAB®.
The instructor would like to thank Robert Ashcraft, Sandeep Sharma, David Weingeist, and Nikolay Zaborenko for their work in preparing materials for this course site.
For any use or distribution of these materials, please cite as follows:
William Green, Jr., course materials for 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2006. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].