3241 Lecture 3

# 3241 Lecture 3 - MAE 3241 AERODYNAMICS AND FLIGHT MECHANICS...

This preview shows pages 1–4. Sign up to view the full content.

MAE 3241: AERODYNAMICS AND FLIGHT MECHANICS Views of Motion: Eulerian and Lagrangian Conservation Equation Summary January 19, 2011 Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
KINEMATIC PROPERTIES: TWO ‘VIEWS’ OF MOTION 1. Lagrangian Description Follow individual particle trajectories Choice in solid mechanics Control mass analyses Mass, momentum, and energy usually formulated for particles or systems of fixed identity ex., F =d/dt(m V ) is Lagrangian in nature 1. Eulerian Description Study field as a function of position and time; not follow any specific particle paths Usually choice in fluid mechanics Control volume analyses Eulerian velocity vector field: Knowing scalars u, v, w as f (x,y,z,t) is a solution ( 29 ( 29 ( 29 ( 29 ( 29 k t z y x w j t z y x v i t z y x u t z y x V t r V ˆ , , , ˆ , , , ˆ , , , , , , , + + = =
CONSERVATION OF MASS This is a single scalar equation Velocity doted with normal unit vector results in a scalar

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

3241 Lecture 3 - MAE 3241 AERODYNAMICS AND FLIGHT MECHANICS...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online