Constantin Fetecau

TL;DR: In this article, the Fourier sine transforms are used to obtain exact solutions corresponding to the motions of a second grade fluid, due to the cosine and sine oscillations of an infinite flat plate as well as those induced by an oscillating pressure gradient.

TL;DR: In this paper, the starting solutions corresponding to the motions of a second grade fluid due to the longitudinal and torsional oscillations of a circular cylinder are determined by means of the finite Hankel transforms.

TL;DR: In this article, a new exact solution corresponding to the flow of a Maxwell fluid over a suddenly moved flat plate is determined, in all accordance with a previous one and for λ→0 it goes to the well-known solution for Navier-Stokes fluids.

TL;DR: In this article, the velocity field and the associated tangential tension corresponding to the flow of an Oldroyd-B fluid over a suddenly moved flat plate are determined, and the well-known solutions for a Navier-Stokes fluid, as well as those corresponding to a Maxwell fluid and a second-grade one, appear as limiting cases of their solutions.

TL;DR: The velocity field and the adequate shear stress corresponding to the unsteady flow of a generalized Maxwell fluid are determined using Fourier sine and Laplace transforms and are presented as a sum of the Newtonian solutions and the corresponding non-Newtonian contributions.