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:

3

Learning Objective:

To introduce the fundamentals of fluid dynamics with a balance between physics, mathematics, and applications.

Description:

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.

Topics Covered:

Basic concepts; Kinematics of fluid motion; Solutions to Navier-Stokes equations; Vorticity dynamics; Stability, transition, and turbulence; Vector calculus and index notation; Basic laws of fluid dynamics; Potential flow; Boundary layers.

Prerequisites:

Courses: Undergrad Fluid Mechanics (ME309 or equivalent). Topics: Dynamics, calculus, ordinary and partial dif. equations, complex variables.

Applied / Theory:

25 / 75

Web Address:

https://mycourses.purdue.edu/

Web Content:

Syllabus, Grades, Lecture Notes, Homework Assignments, and Solutions. Additional course information may also be posted at https://engineering.purdue.edu/~wereley/.

Homework:

Homework will be assigned periodically throughout the semester, collected, graded, and returned; will be accepted via e-mail to wereley@purdue.edu. Solutions will be posted on Blackboard approximately two weeks after the homework is assigned.

Projects:

None.

Exams:

Four quizzes throughout the semester and one final exam.

Textbooks:

Required:

Incompressible Flow, Ronald L. Panton, Wiley 4th ed, ISBN:9781118013434

Computer Requirements:

Some homework assignments will require the use of a spreadsheet or computer language; course notes, handouts and homework assignments will be posted on the course Web site.