Use the velocity field in Problem 5.6(b) to calculate ℘(r, z) for flow at small Re between porous and solid disks. You may assume that all inertial terms in the Navier–Stokes equation are negligible for this flow.

Data from Problem 5.6(b)

(b) It is shown in Example 8.3-1 that

Determine the stream function and plot streamlines corresponding to several values of ψ⁄(H²v₀). The expression for ψ is simplest if the dimensionless coordinates η = r/H and ζ = z/H are used.

Transcribed Image Text:

3 vor H [-] **)-[1-³)*+ *)] v₂(Z) = v, (r; z) = (P5.6-1) (P5.6-2)