# Quiz.II - relations If you are using a polar coordinate system use 29 29 1 1 v 1 = ∂ ∂-∂ ∂ = × ∇ = ∂ ∂ ∂ ∂ = ⋅ ∇ ∂ ∂-=

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

AE 3003 Quiz II Closed Book and Notes - Fall 1998 1. Briefly define or explain the following terms. a) Vorticity b) Pathline c) Streamline d) Substantial derivative (also called Material derivative) e) Doublet 20% 2. Show that in 2-D flows, streamlines ( ) lines constant = ψ are orthogonal to velocity potential lines ( Φ =Constant lines). 30% 3. Given the velocity field for a doublet: θ sin r C = Determine if this field satisfies (a) continuity, and (b) irrotationality. Hint: This problem may be done in polar coordinates or the Cartesian coordinates. If you choose to use the Cartesian coordinate system, you may want to use the following
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: relations: If you are using a polar coordinate system, use: ( 29 ( 29 1 1 v 1 = ∂ ∂-∂ ∂ = × ∇ = ∂ ∂ + ∂ ∂ = ⋅ ∇ ∂ ∂-= ∂ ∂ = k v r rv r V v r rv r V r r v r r r & 50% : : : from v and u Compute sin cos = × ∇ = ⋅ ∇ ∂ ∂-= ∂ ∂ = = = V ality Irrotation V Continuity x v y u r y r x C...
View Full Document

## This note was uploaded on 10/23/2011 for the course AE 3003 taught by Professor Yeung during the Fall '08 term at Georgia Institute of Technology.

Ask a homework question - tutors are online