Module 4: Vorticity Stream Function Approach for Solving Flow Problems
  Lecture 25:
 

Inlet Boundary

Inlet boundary in Fig. 25.1 cannot have any unique prescription. It will depend on the physical situation. For the axial velocity uniform or parabolic or any possible profile can be taken. Most widely used conditions are:

for to JMAX
(25.5)

or,

(25.6)

For normal velocity Formm and Harlow (1963) set

for to JMAX
(25.7)

The stream function can be obtained from the axial velocity profile at the inlet as

(25.8)

Vorticity also depends on inlet velocity profile. Pao and Daugherty (1969) used uniform axial velocity profile, and then specified Greenspan (1969) fixed up from axial velocity profile and assumed which result in

(25.9)