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ME 671 Advanced Fluid Mechanics

Catalog Description

ME 671 Advanced Fluid Mechanics (3). Prerequisite: ME 401. A study of the Navier-Stokes equation, with application to laminar and turbulent-flow fields for various geometries. Computer applications.

Prerequisites by Topic

  1. Dimensional analysis
  2. Fluid mechanics
  3. Numerical analysis
  4. Basic or Fortran programming


H. Schlichting, Boundary Layer Theory, McGraw-Hill, 1979.


T. Cebeci and P. Bradshaw, Momentum Transfer in Boundary Layers, McGraw-Hill, 1977.


M.K. Sharp, Professor of Mechanical Engineering.

Course Objectives

This course is designed to give graduate students in mechanical engineering an ability to formulate the boundary layer equation and momentum integral equation and obtain the exact solutions or the approximate solutions by means of digital computers. Students design computer programs to simulate flow fields.


  1. Outline of fluid motion in the boundary layer (3 classes)
  2. Navier-Stokes equations (3 classes)
  3. Exact solutions of the Navier-Stokes equations (3 classes)
  4. Laminar boundary layers (6 classes)
  5. Exact solutions of the steady-state 2-D laminar boundary layer equations (9 classes)
  6. Approximate solutions (6 classes)
  7. Boundary layer control and transition (6 classes)
  8. Turbulent boundary layers (6 classes)
  9. Examinations (2 classes and 2½ hours)

Computer Use

Each student must write and run four computer programs on boundary layer flows.

Laboratory Projects


Laboratory Schedule

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

Professional Component Contribution

Engineering science: 2 credits, engineering design: 1 credit.

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 design a system, component, or process to meet desired needs 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 M.K. Sharp, May 2006

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