On Fully Developed Flows of Fluids with a Pressure Dependent Viscosity in a Pipe

Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity

“…(2) has been the most popular one in the various theoretical analyses presented in the literature. Analytical solutions have been reported by Renardy [2] and Vasudevaiah and Rajagopal [30] for the round Poiseuille flow of a Newtonian fluid and by Hron et al [27] and Huilgol and You [31] for the plane Poiseuille flow of a generalized Newtonian fluid. The reason of avoiding Eq.…”

Couette flow with frictional heating in a fluid with temperature and pressure dependent viscosity

“…Finally, by means of (20) we re-dimensionalize Eqs. (34), (37) and (38) and obtain the approximate equations divv ¼ 0;…”

“…Rajagopal and co-workers ( [8,15,16,[21][22][23][25][26][27]36,38]) have studied in detail several important and basic problems related to such fluids. In particular, in [26] we have provided a rigorous mathematical justification for the Oberbeck-Boussineq approximation that appeals to a perturbation procedure.…”

Piezo-viscous flows over an inclined surface

“…In recent years there has been a notable interest in piezo-viscous fluids. Rajagopal and co-workers ( [6]- [9], [14]- [20], [24], [26]) have studied in detail several important and basic problems for such fluids. One example of a physical situation wherein the dependence of the viscosity on the pressure cannot be ignored is the problem of elastohydrodynamics [25].…”