Computational Methods Heat and Mass Transfer

Time & Place:TBD

Instructor:

Dr. Jun Ni, Ph.D.M.E.

E-mail: jni2057@gmail.com

Office Hours and Place:TDB

Textbook:

Computational Methods for Heat and Mass Transfer, by Pradip Majumdar, Taylor & Francis; 1 edition (September 28, 2005)

Class Lecture Notes:

Additional notes or handouts may be available in classroom.

Course Description:This course

This course introduces the fundamentals of two important computational techniques for solving heat and mass transfer and fluid flow problems: finite difference and finite element methods. The objective of this course is to help the students thoroughly understand the basic concepts and procedures of fluid dynamics, heat and mass transfer and implement computational methodology into a computer code and solve more complex problems on their own. Theory and practice are combined in a simple and straightforward manner.

Course Contents:

Part I: Basic Equations and Numerical Analysis1. Review of Basic Laws and Equations

2. Approximations and Errors

3. Numerical Solution of Systems of Equations

4. Numerical Integration

Part II: Finite Difference - Control Volume Method

5. Basics of Finite Difference and Control Volume Method

6. Multi-Dimensional Problems

7. Diffusion Equation

8. Finite Difference-Control Volume Method: Convection Heat Transfer

Part III: Finite Element Method

9. Introduction and Basic Steps in Finite Element Method

10. Element Shape Functions

11. Finite Element Method: One-dimensional Steady State Problems

12. Finite Element Method: Multi-dimensional Steady State Problems

13. Finite Element Method: Unsteady State Problems

14. Finite Element Method: Convection Heat Transfer