<DOC>
<DOCNO>
476
</DOCNO>
<TITLE>
the blasius equation with three-point boundary conditions .
</TITLE>
<AUTHOR>
napolitano, i. g.
</AUTHOR>
<BIBLIO>
quart. appl. math. v. 16, no. 4, pp 397-408, 1958 .
</BIBLIO>
<TEXT>
the blasius equation subject to three-point boundary conditions, describing
the interaction between two parallel streams, is solved by way
of a series in terms of ascending powers of the ratio equals /u1 -dash
u2//u1, where the u1's are the outer streams' velocities .
the first three terms of the series are analytically expressed in terms
of the repeated integrals of the complementary error function /im erfc /
and of the repeated integrals of the square of the successive integrals
of the complementary error function /jmin erfc n/ . these functions
often appear in problems leading to extended heat-conduction type of
equations . a recurrence formula for jmin erfc n is established and
formulae relating the functions in erfc /-dashn/ and jmjn erfc to
available tabulated values of the functions in erfc /n/ are derived .
the first three approximations to the blasius function and to its first
two derivatives are also presented in tabulated form with four significant
figures . test on the convergence of the series has been made by
comparison with some exact solutions obtained by high speed computing
machine . the comparison, extended to the physically essential quantities,
shows that ..
second and first derivatives .
yield extremely accurate results . the errors in the first two derivatives
of the blasius functions are always contained within less than one
 per cent .
</TEXT>
</DOC>
