Problem 5.39 - Problem 5.39 [Difficulty: 3] Given: Velocity...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Problem 5.39 [Difficulty: 3] Given: Velocity field Find: Whether flow is incompressible; Acceleration of particle at (2,1) Solution: Basic equations: x u y v 0 uxy ()A x 4 6x 2 y 2 y 4  vxy () A 4 x y 3 4x 3 y For incompressible flow x u y v 0 Checking x Ax 4 2 y 2 y 4 A4x 3 12 x y 2 y y 3 3 y 3 12 x y 2   Hence x u y v 0 For this flow a x u x u v y u a x 4 2 y 2 y 4 x 4 2 y 2 y 4 y 3 3 y y 4 2 y 2 y 4 a x 4A 2 x x 2 y 2 3 a y u x v v y v a y 4 2 y 2 y 4 x y 3 3 y y 3 3 y y y 3 3 y a y 2 y
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online