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ME 663 Heat Conduction

Catalog Description

ME 663 Heat Conduction (3). Prerequisite: ME 440. Derivation of governing equa¬tions. Classical heat conduction solutions with various boundary conditions. Computer applications.

Prerequisites by Topic

  1. Solution of ordinary differential equations
  2. Numerical calculus
  3. Basic or Fortran programming


M.N. Ozisik, Heat Conduction, Second Edition, John Wiley, 1993.


E.G. Brehob, Associate Professor of Mechanical Engineering.

Course Objectives

This course is designed to acquaint graduate professional students in Mechanical Engineering with various methods for solution of the heat equation with particular emphasis upon applied heat conduction problems.


  1. One-dimensional steady-state and transient lumped systems (4 classes)
  2. One-dimensional transient and two-dimensional steady-state systems (9 classes)
  3. Special case systems using Bessel functions (8 classes)
  4. Special case systems using Laplace transforms (4 classes)
  5. Miscellaneous methods including the error function and use of Heisler charts (5 classes)
  6. Numerical solution methods including finite difference and introduction to finite element method (12 classes)
  7. Take-home problems for computer solution (3 classes)
  8. Examinations (2 classes and 2½ hours

Computer Use

Various analysis software packages.

Laboratory Projects


Laboratory Schedule

Three 50 minute sessions per week devoted to lecture, discussion, and problem solving.

Professional Component Contribution

Engineering science: 3 credits.

Relationship to Program Objectives

This course supports Mechanical Engineering program objectives by developing:

  • An ability to apply knowledge of mathematics, science, and engineering in the field of mechanical engineering.
  • An ability to identify, formulate and solve problems in the field of mechanical engineering.
  • A recognition of the need for, and an ability to engage in, life-long learning in the field of mechanical engineering.
  • An ability to use the techniques, skills, and modern tools necessary for the practice of mechanical engineering.

Prepared by E.G. Brehob, May 2006

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