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and the last equation simply requires that
(which is equivalent to the observation, from (5.100c), that there is no boundary-
layer structure in the solution for The first two equations, (5.104a,b), give an
equation for
which can be integrated once (by setting to give
where A is an arbitrary constant. Sadly, we cannot integrate once again (so a numerical
approach might be considered), but we can make a few observations.
The boundary condition on X = 0 becomes and, in addition, the match-
ing condition is satisfied if
(see (5.102c) which requires the choice
(It is left as an exercise to show that there is a solution for which
However, more success in the development of useful analytical detail is possible if we
use (5.104a,b) to produce an equation for
One integration then produces the result
where the arbitrary constant must, in order to satisfy the matching condition at infinity,