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ME 764 - Advanced Heat Transfer I-Conduction

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• ME 764: Advanced Heat Transfer I-Conduction, Fall 2006 (Nellis)
• ME 764: Advanced Heat Transfer I-Conduction, Fall 2002 (Myers), formerly Course Homepage of instructor Myers

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Catalog Description

764 Advanced Heat Transfer I-Conduction. I,Even Yrs; 3cr. Analytical methods in conduction; Bessel functions, separation of variables, Laplace transforms, superposition, oscillating solutions; computer methods; finite differences, finite elements. P:ME 564 or cons inst.

Course Prerequisite(s)

• General course in heat transfer covering conduction, convection and radiation (e.g.,ME 364 or ME 564)

Prerequisite knowledge and/or skills

• Algebra
• Calculus (differentiation, integration)
• Ordinary differential equations (first-order, linear)
• Energy-balance concepts from thermodynamics and heat transfer
• Rate equations for conduction and convection
• Finite-difference models/solutions for one-dimensional problems (both steady and transient)

Textbook(s) and/or other required material

• Myers, G. E.: Analytical Methods in Conduction Heat Transfer, 2nd ed., AMCHT Publications, Madison, WI, 1998.

Topics covered

• Conduction review (derivation and solution of ordinary differential equations for one-dimensional, steady-state problems and for lumped-parameter transients)
• Bessel equations/functions (series solutions, special functions, general Bessel equation)
• Separation of variables (one-dimensional transients, two-dimensional steady and transient problems for a variety of boundary conditions)
• Superposition (simplification of nonhomogeneous problems, Duhamel's theorem)
• Finite differences (two-dimensional, steady and transient problems; Cholesky solution of algebraic equations; Euler, Crank-Nicolson and exact solutions of transient problems)
• Finite elements (Galerkin formulation for two-dimensional problems; linear triangular elements; energy-balance concepts; program FEHT)

Class/laboratory schedule

• Lectures normally meet once per day on MWF for 50 minutes each time.

Person(s) who prepared this description

• Glen E. Myers

Copyright 2007 The Board of Regents of the University of Wisconsin System Date last modified: 28-Aug-2007 Content by: deptinfo@me.engr.wisc.edu Accessibility Web services Thank you for visiting http://www.engr.wisc.edu//me/courses/me764.html