This preview shows page 1. Sign up to view the full content.
Unformatted text preview: v x and v y , as well as the cylindrical components v r (radial component) and v θ (tangential coordinate). Assign numerical values to all components. 4. Show that ∇ 2 ψ = 0, where the function ψ ( r, θ, φ ) (i.e., a function of the spherical coordinates) is given by ψ ( r, θ, φ ) = ψ cos θ r 2 , where ψ is a constant. 5. Consider the function y ( x ) = x sinh x . Perform a Taylor series expansion about x = 0, keeping the Frst two non-zero terms. 6. Solve the di±erential equation d 2 v x dy 2 = C, where C is a constant, subject to the boundary conditions v x = 0 at y = 0 v x = 0 at y = h to determine the function v x ( y ). 1...
View Full Document
This note was uploaded on 05/06/2010 for the course CBE 320 taught by Professor Staff during the Fall '08 term at University of Wisconsin.
- Fall '08