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Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

Intermediate Fluid Mechanics

ME 50900 / 3 Cr. (3 Class)

Continua, velocity fields, fluid statics, basic conservation laws for systems and control volumes, dimensional analysis.  Euler and Bernoulli equations, viscous flows, boundary layers, flows in channels and around submerged bodies, and one-dimensional gas dynamics.

Textbooks

F.M. White, Viscous Fluid Flow, Third Edition, McGraw-Hill, New York, 2006

Goals

To introduce concepts and analytical techniques for inviscid flows and laminar boundary layers and to teach when inviscid and boundary layer techniques may be used as simplified flow models to more complex problems. To introduce phenomena of turbulent flow, separation, drag and lift. Several homework problems are assigned throughout the course. Emphasis is placed upon good solution techniques and presentations.

Outcomes

After completion of this course, the students should be able to:

  1. Derive partial differential equations of continuity, momentum, and energy for compressible and incompressible flows[a]
  2. Apply control volume theory for solution of inviscid and viscous flows [a]
  3. Solve partial differential equations of selected external and internal flow problems [a, e]
  4. Compare and use different levels of flow approximations use simplified models when necessary [a,e]
  5. Solve external and internal flow problems [a,e]
  6. Solve boundary layer, laminar, and turbulent flow problems [a,e]
  7. Solve similarity transformation equations numerically using Runge-Kutta methods [a,k]
  8. Compute lift, drag, and separation for viscous flows[a,e]
  9. Make use of numerical and/or empirical methods when analytical methods fail [a,k]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.

Topics
  1. Preliminary concepts (5 periods)
  2. Fundamental equations of compressible viscous flows (4 periods)
  3. Inviscid flows (1 period)
  4. Solution of the Newtonian viscous-flow equations (6 periods)
  5. Laminar boundary layers (5 periods)
  6. Incompressible turbulent flows (6 periods)