p0504 - 1 R 2 R p R 2 u R Q + 1 R sin u + 1 R sin ( u sin )...

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

View Full Document Right Arrow Icon
5.4. CHAPTER 5, PROBLEM 4 453 5.4 Chapter 5, Problem 4 5.4(a): For incompressible flow, the continuity equation in cylindrical coordinates is 1 r r ( ru r )+ 1 r u θ ∂θ + w z =0 Hence, when u θ = w =0 , all that remains is 1 r r ( ru r )=0 Integrating over r , the most general form of the radial velocity is u r ( r, θ ,z )= f ( θ ,z ) r where f ( θ ,z ) is a function of integration. 5.4(b): For incompressible flow, the continuity equation in spherical coordinates is
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 R 2 R p R 2 u R Q + 1 R sin u + 1 R sin ( u sin ) = 0 Hence, when u = u = 0 , all that remains is 1 R 2 R p R 2 u R Q = 0 Integrating over R , the most general form of the radial velocity is u R ( R, , ) = g ( , ) R 2 where g ( , ) is a function of integration....
View Full Document

Ask a homework question - tutors are online