TY - JOUR
T1 - Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid
AU - Prasad , M. Krishna
AU - Kaur , Manpreet
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1076
EP - 1093
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2015.m1200
UR - https://global-sci.org/intro/article_detail/aamm/12190.html
KW - Stokes flow, micropolar fluid, drag force, spheroid, spin vorticity relation.
AB - <p style="text-align: justify;">The Stokes axisymmetric flow of an incompressible viscous fluid past a micropolar
fluid spheroid whose shape deviates slightly from that of a sphere is studied
analytically. The boundary conditions used are the vanishing of the normal velocities,
the continuity of the tangential velocities, continuity of shear stresses and spin-vorticity
relation at the surface of the spheroid. The hydrodynamic drag force acting
on the fluid spheroid is calculated. An exact solution of the problem is obtained to
the first order in the small parameter characterizing the deformation. It is observed
that due to increase spin parameter value, the drag coefficient decreases. Well known
results are deduced and comparisons are made with classical viscous fluid and micropolar
fluid.</p>