Laminar and Inviscid Flow



Dr. R. SellensMcLaughlin Hall, Room 209 533-6760

Course Description

This course provides an introduction to analysis of fluid flows at the masters level. Derivation of the transport equations is completed for arbitrary control volumes in both vector and tensor forms. Inviscid flows are explored to illustrate the separate effects of inertial and viscous forces, including development of Joukowski airfoil models. Exact and approximate solutions are developed for steady and unsteady laminar flows. Boundary Layer solutions are developed by differential and integral analysis. The similarity of transport equations for thermal energy and concentration are illustrated. On completion of the course, students will be well prepared for specialized courses in convective heat transfer, turbulence, and computational fluid mechanics. A analytical study of inviscid and non-turbulent flows provides much of the fundamental understanding needed in all studies of energy and fluid systems. This course will provide you with that basis.

Topics to be covered include:

  • Full Lagrangian derivation of the equations of motion, based on an arbitrary control volume.
  • Simplification of general equations; incompressibility; ideal flow assumptions; stream function / velocity potential equations.
  • Laminar boundary layer flows
  • Other exact and approximate solutions for laminar flows
  • Instability considerations in laminar flow.

Three term-hours; lectures. R.W. Sellens.

Objectives and Outcomes

Relevance to the Program

Course Structure and Activities