Problem 5.58 - Problem 5.58 Given: Find: [Difficulty: 3]...

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

View Full Document Right Arrow Icon
Problem 5.58 [Difficulty: 3] Given: Velocity field represented above Find: yx B A constant Solution: We will check the velocity field against the continuity equation, apply the acceleration definition, and determine the streamline slope.  0 t w z v y u x Governing Equations: (Continuity equation) t V z V w y V v x V u Dt V D a p (Particle acceleration) Assumptions: (1) Two-dimensional flow (velocity is not a function of z) (2) Incompressible flow Based on the above assumptions the continuity equation reduces to: x u y v 0 This is the criterion to check the velocity. The partial derivatives are: x u A and y v C Thus from continuity: AC 0 or CA C2 s 1 t V y V v x V u a p Based on the above assumptions the particle acceleration reduces to: Substituting in the field:   k D j y C i AB x A k D j C Cy i A B Ax a p ˆ ˆ ˆ ˆ ˆ ˆ 2 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