Abstract:
A theoretical investigation of equation of motion of elliptic cylinder; specifically
equations for velocity potential, stream function, complex potential, and kinetic energy
are studied, by considering two dimensional irrotational motion of incompressible,
Newtonian fluid produced by the motion of an elliptic cylinder in an infinite mass of
liquid at rest at infinity. Cases when the elliptic cylinder moves in an infinite liquid with
velocity u parallel to the axial plane through the major axis of a cross section, when it
moves with velocity v parallel to the axial plane through the minor axis of the cross
section, when it moves with velocity in a direction making an angle with the major
axis of the cross section of the cylinder, when it is rotating with angular velocity , motion
of a liquid in rotating elliptic cylinders, and circulation about an elliptic cylinders are
discussed.
