<DOC>
<DOCNO>
787
</DOCNO>
<TITLE>
rayleigh's problem for a cylinder of arbitrary shape .
</TITLE>
<AUTHOR>
hasimoto, h.
</AUTHOR>
<BIBLIO>
j. physical soc. of japan, vol. 9 /4/, 1954, p. 611-619 .
</BIBLIO>
<TEXT>
the motion of an incompressible viscous fluid generated by a cylinder of
 arbitrary cross-sectional form which is started to move suddenly from
rest with uniform velocity in the direction of its length is considered
 formulae in powers of are derived for the velocity distribution /valid
in the vicinity of the cylinder/ and for the frictional drag on the cylinder,
correct to the order of a, where a is the characteristic length
of the cross section, v is the kinematic viscosity, and t is the time .
these formulae are given in terms of only the analytic function which
maps conformally the region outside the cross section of the cylinder
onto the region outside the unit circle, and of certain integrals e
which are common to any arbitrary cylinder . in particular, when a is
sufficiently small, the total frictional drag on the cylinder per unit
length is expressed as, irrespective of the cross-sectional form, where
b 2 and y 0.5772.../euler's constant/ .
</TEXT>
</DOC>
