Intermediate Fluid Mechanics
This course will begin with basic physical concepts related to fluid dynamics and an introduction to some mathematical tools to facilitate later fluid dynamic analysis. We will then discuss the kinematics of fluid motion. Then we will derive the basic laws of fluid dynamics which include the conservation of mass, momentum, and energy equations ending up with the Navier-Stokes equations. We will then apply these equations to solve a number of classical fluid flows. A discussion of potential flow and vorticity dynamics follows. Then we will explore boundary layers, stability, transition, and turbulence.
ME50900
Credit Hours:
3Learning Objective:
- Unify an strengthen the student's background in fluid mechanics.
- Develop an understanding of the Lagrangian and Eulerian forms of the basic conservation equations.
- Master classic solution techniques for basic fluid mechanics problems.
- Prepare students to read the current literature and pursue advanced studies in fluid mechanics or aerodynamics
Description:
Continuum description and fluid properties. Basic laws for a continuum in integral and differential form. Kinematics of fluid flow and tensor calculus using index notation. Navier-Stokes equations and elementary solutions. Ideal fluid flow and basic inviscid hydrodynamics. Vorticity and streamfunction. Dimensional analysis of fluid mechanics problems. Boundary layer theory. Equations of motion for viscous flows. Viscous flow applications and lubrication theory. Instability and transition to turbulence.
Topics Covered:
Fundamental Concepts (1.5 weeks)Basic Laws: Integral Form (1.5 weeks)
Basic Laws Differential Form (1.5 weeks)
Dimensional Analysis and Self-Similarity (1.0 weeks)
Solution Methods (7 weeks)
Flow Instability and Transition to Turbulence (1.5 weeks)
Prerequisites:
ME 30800 - Fluid Mechanics (or AAE 33300 - Fluid Mechanics or equivalent)MA 30300 - Differential Equations And Partial Differential Equations For Engineering And The Sciences (or equivalent)
Applied / Theory:
10/90Web Address:
https://mycourses.purdue.edu/Homework:
The course typically has 10 homework assignments ("problem sets").
Projects:
None.Exams:
The course may have a midterm exam and a final exam.Textbooks:
Required:
R.L. Panton, Incompressible Flow, 4th ed., John Wiley & Sons [available electronically from Purdue Libraries]
Recommended:
P. Kundu, I. Cohen, D. Dowling, Fluid Mechanics, 6th ed., Elsevier. [available electronically from Purdue Libraries]
F.M. White, Viscous Fluid Flow, 3rd ed., McGraw-Hill