Problem 5.26 - Problem *5.26 Given: Velocity field Find:...

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

View Full Document Right Arrow Icon
Problem *5.26 [Difficulty: 3] Given: Velocity field Find: Stream function ψ Solution: Basic equations: x ρ u () y ρ v z ρ w t ρ 0 u y ψ v x ψ Assumptions: Incompressible flow Flow in x-y plane Hence x u y v 0 or x 2y 2x 1 [] y xx 1 2 0 Hence u2 y 1 y ψ ψ xy y 1 d y 2 y 2 fx and vx x1 2 x ψ ψ x 2 d x 3 3 x 2 2 y 2 gy ( Comparing these x 3 3 x 2 2 and () y 2 The stream function is ψ y 2
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