Mechanics of Composite Materials


Credit Hours:


Learning Objective:

The focus of the course will be on learning the fundamental concepts of numerical solution of transport phenomena (heat, mass, momentum) problems with a goal to develop the ability for sound analysis. After finishing this course, the students should have the following ability:
1. Understand the mathematical description of advection-diffusion-reaction system;
2. Comprehensive grasp on the basics of finite volume method;
3. Gain knowledge on numerical solution of transport phenomena, involving species, charge, thermal, and fluid flow characteristics.


Conservation equations. Discretization based on finite volume method. Solution of systems of algebraic equations. Discretization and solution of advection-diffusion-reaction system of equations. Methods of solving the equations governing heat, mass and momentum transfer.
Spring 2018 Syllabus PDF

Topics Covered:

1. Introduction
a. Mathematical description of physical phenomena
b. Overview of numerical methods
2. Finite Volume Method (FVM)
a. Control volume constructs for advection-diffusion-reaction systems
b. Discretization and schemes
c. Solution algorithm
3. Diffusion
a. Species transport
b. Charge transport
c. Thermal transport
4. Advection
a. Fluid flow and momentum transport
b. Convective heat transfer
c. Solute transport
5. Transport in porous media
a. Effective medium approximation
b. Effective transport property estimation
6. Coupled transport phenomena (example problems and course projects)
a. Coupled species and charge transport
b. Thermal and fluids analysis


Strong analytical background; engineering mathematics (partial differential equations); programming skills; discussion with and approval from the instructor.

Applied / Theory:

30 / 70

Web Address:

Web Content:

A link to the current course website, syllabus, grades, lecture notes, homework assignments, solutions, quizzes, chat room, and message board.


Bi-weekly assignments, typically consisting of 7-8 problems.


The project, based on numerical analysis and simulation of multi-physics phenomena, is an integral part of this course. Students can choose own group members (group size limited to 4). Each course project will be designed based on discussion with the instructor. The formal written report and presentation will constitute a significant part of the grade. The course project teaming arrangement will be discussed and appropriate adjustments may be made as needed.


Quizzes and final exam.


Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.
Tentative:Lectures will be developed based on multiple resources including research papers, and chapters from relevant textbooks. The following may be referred to additionally.
1. ???Numerical Heat Transfer and Fluid Flow,??? Patankar (CRC Press)
2. ???An Introduction to Computational Fluid Dynamics: The Finite Volume Method,??? Versteeg and Malalasekera (Pearson)

Computer Requirements:

Syllabus, supplemental lecture notes, homework assignments, solutions will be available on course web site on cdmHUB, students will be offered chat rooms for questions and discussions related with course material. Webex will be required for four hours per week of direct discussion with the TA/Instructor. Tools on cdmHUB will be used for teaching and homework. Mathematic or other software might be helpful for homework. You need to create a free account on, then request to join the class group. The instructor will approve your membership.

ProEd Minimum Requirements:


Tuition & Fees: