| Abstract: | The velocity fields corresponding to some flows of second grade and Maxwell fluids, induced by a circular cylinder subject
to a constantly accelerating translation along its symmetry axis, are presented as Fourier-Bessel series in terms of the eigenfunctions
of some suitable boundary value problems. These solutions satisfy both the associate partial differential equations and all
imposed initial and boundary conditions. For α or λ → 0, they are going to those for a Newtonian fluid. Finally, for comparison,
some diagrams corresponding to the solutions for the flow through a circular cylinder are presented for different values of
t and of the material constants. |
