The Rayleigh–Stokes problem for an edge in an Oldroyd-B fluid

• Published in: Comptes rendus. Mathématique Vol. 335; no. 11; pp. 979 - 984
• Main Author: Fetecau, Constantin
• Format: Journal Article
• Language: English
• Published: Paris Elsevier SAS 01.12.2002; Elsevier
• Subjects: Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); General theory; Mathematical analysis; Mathematics; Ordinary differential equations; Physics; Sciences and techniques of general use; Rayleigh problem; Fourier transformation; Sinuses; Initial condition; Fluid dynamics; Stokes problem; Navier Stokes equation; Differential equation; Oldroyd fluid; Maxwell fluid; Limit

The velocity fields corresponding to an incompressible fluid of Oldroyd-B type subject to a linear flow within an infinite edge are determined for all values of the relaxation and retardation times. The well known solution for a Navier–Stokes fluid, as well as those corresponding to a Maxwell fluid...