Exact solutions for the unsteady rotational flow of non-Newtonian fluid in an annular pipe

Analytical solutions for wall slip effects on magnetohydrodynamic oscillatory rotating plate and channel flows in porous media using a fractional Burgers viscoelastic model

“…Wang and Xu [20] investigated transient axial Couette flows of both fractional second grade fluid (FSGF) and fractional Maxwell fluid (FMF) between two infinitely long concentric circular cylinders, observing that via an analysis of fractional derivative on the models via numerical results, oscillations exist in the FMF velocity field. Tong and Liu [21] investigated analytically the unsteady rotational flows of an Oldroyd-B fluid in an annular pipe, constructing also a generalized Jeffreys model via fractional calculus. They showed that the classical Navier-Stokes and also Maxwell fluid and second grade fluid solutions may be extracted as special cases of the fractional viscoelastic model.…”

Exact solution for the flow of Oldroyd-B fluid due to constant shear and time dependent velocity

“…The first exact solution for the motion of second grade fluids due to a shear stress on the boundary has been determined by Bandelli and Rajagopal [4].He studied a number of unidirectional transient flows of a second grade fluid in a domain with one finite dimension. Recently, many papers regarding such motions have been published [5][6][7][8][9][10][11][12]. Fetecau [13] used constitutive relation as follows…”

Modelling of mechanical behaviour of fluid used in dampers

“…cieczami nienewtonowskimi, a ich równania konstytutywne często zawierają pochodne ułamkowego rzędu [7,8]. W pracy omawia się rezultaty badań cieczy o bardzo dużej lepkości, z użyciem reometru dynamicznego ścinania.…”