Exact solution for motion of an Oldroyd-B fluid over an infinite flat plate that applies an oscillating shear stress to the fluid

• Published in: Boundary value problems Vol. 2012; no. 1; pp. 1 - 19
• Main Authors: Shahid, Nazish, Rana, Mehwish, Siddique, Imran
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 24.04.2012; Hindawi Limited; BioMed Central Ltd
• Subjects: Analysis; Approximations and Expansions; Boundary value problems; Computational fluid dynamics; Difference and Functional Equations; Flat plates; Fluid flow; Fluids; Mathematical analysis; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Oscillating; Oscillations; Partial Differential Equations; Trigonometric functions; Oldroyd-B fluid; exact solutions; oscillating shear stress

The unsteady motion of an Oldroyd-B fluid over an infinite flat plate is studied by means of the Laplace and Fourier transforms. After time t = 0, the plate applies cosine/sine oscillating shear stress to the fluid. The solutions that have been obtained are presented as a sum of steady-state and tra...