Flow of elastico-viscous liquids in channels under the influence of a periodic pressure gradient, part 1

Oscillatory pipe flow: A comparison between predicted and observed displacement profiles

“…More recently Jones and Walters (14) have provided a survey of oscillatory flow which includes theoretical treatments of both Newtonian and viscoelastic liquids (up to second-order phenomena are included). Their published profiles, which are essentially mean-square values of the displacement profiles exhibit most of the main features of oscillatory flow, including the tendency for viscoelastic Iluids to show a pronounced emphasis of the amplitude peak near to the pipe wall.…”

“…rar [r,r(r,t)] + P = p~ [13] where _ _--P~~ [14] and UP P -----U--7"" [15] For osciilatory flow the dynamic and kinematic variables, are periodic functions of time:…”

A note on the periodic motion of a visco-elastic fluid in a radially non-symmetric constricted tube

“…A similar problem was studied by Etter and Schowalter [3]. Jones and Walters [4] investigated the flow of visco-elastic fluid in a rigid tube for very small and very large values of the frequency.…”

Flow on oscillating rectangular duct for Maxwell fluid

“…Oscillating viscoelastic rectilinear flows in straight ducts due to an oscillating pressure gradient have been studied analytically by Broer [7] and Thurston [8][9] for a linear Maxwell fluid, by Jones and Walters [10][11] and Peev et al [12] for a linear Walter B fluid, by Bhatnagar [13] for a Jeffrey fluid (linear Oldroyd), by Ramkissoon et al [14] for a short-memory Walters liquid-B, and by Rahaman and Ramkissoon [15] for an upper convected Maxwell fluid. Furthermore, the oscillating tube flow for viscoelastic fluids and mimicking human blood has been considered by Walitza et al [16] .…”