Showing papers on "Second-order fluid published in 2000"

Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains

Abstract: This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points.

Slow steady fall of rigid bodies in a second-order fluid

Abstract: We consider the steady, slow translational fall of a rigid body B in a second-order fluid, under the action of the force of gravity g. We find a general expression for the total force and torque acting on B. In particular, the force per unit area is always compressive, if the first normal stress coefficient Ψ1 is positive. We then specialize these formulas to the case when B is a prolate spheroid of eccentricity e, and show that, when 0 0, only this latter orientation is stable to small disorientations, in agreement with the recent experimental results of Joseph and coworkers.

Regions of vortices in an axisymmetric contraction, examined at the example of a second-order fluid (SOF)

Abstract: The steady flow of viscoelastic fluids across an axisymmetric contraction is of principle and technological interest. Particularly (but not only) within the entrance of such a convergent flow it is possible and useful to approximate the rheological constitutive equation as second-order-fluid constitutive equation (SOF). For that we have considered the flow across an open hyperboloid of rotation with the aid of a complete numerical simulation as well as a perturbation calculation.