SUMMARY OF SOLUTION METHODOLOGY

The results of Sections 13.1-13.4 indicate that the unsteady flow method of solution is very similar to the steady-state methods presented in the previous chapters. Therefore, it is possible to use those steady-state methods with only a few small modifications. These modifications can be limited to three sections of the analytical or the numerical model and in general are:

1. Update of the “zero normal-flow on a solid-surface” boundary condition to include the kinematic velocity components (as in Eq. (13.13a)).

2. Similarly, use of the modified unsteady Bernoulli equation (as in Eq.

3.

Construction of a wake model, based on the requirements of Section 13.3.

The first two modifications are very minor and local (in terms of computing); however, the third modification is more elaborate and in the following sections a simple vortex wake model will be used.

Based on these conclusions the rest of this chapter is concerned with presenting examples for the transformation of some analytical and numerical methods into the time-dependent mode.