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Reynolds number effects in the flow of a Vočadlo electrorheological fluid in a curved gap

Walicka A., Falicki J.

International Journal of Applied Mechanics and Engineering

2017

Vol. 22, no. 3

675--695

Many electrorheological fluids (ERFs) as fluids with micro-structure demonstrate a non-Newtonian behaviour. Rheometric measurements indicate that some flows of these fluids may by modelled as the flows of a Vočadlo ER fluid. In this paper, the flow of a Vočadlo fluid – with a fractional index of non-linearity – in a narrow gap between two fixed surfaces of revolution with a common axis of symmetry is considered. The flow is externally pressurized and it is considered with inertia effect. In order to solve this problem the boundary layer equations are used. The Reynolds number effects (the effects of inertia forces) on the pressure distribution are examined by using the method of averaged inertia terms of the momentum equation. Numerical examples of externally pressurized flows in the gap between parallel disks and concentric spherical surfaces are presented.

Reynolds number effects in the flow of a Bingham electrorheological fluid between fixed surfaces of revolution

Walicka A., Falicki J.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 1

195-210

Many electrorheological fluids (ERFs) as fluids with micro-structure demonstrate viscoplastic behaviours. Rheological measurements indicate that the flows of these fluids may be modelled as the flows of a Bingham fluid. Our concern in the paper is to examine the pressurized laminar flow of an ERF of a Bingham type in a narrow clearance between to fixed surfaces of revolution. In order to solve this problem the boundary layer equations are used. The Reynolds number effects (the effects of inertia forces) on pressure distribution are examined by using the averaged inertia method. Numerical examples of externally pressurized flows in the clearance between parallel disks and concentric spherical surfaces are presented.

Analysis of polymers flow through dies of forming devices

Walicka A.

Applied Mechanics and Engineering

1999

Vol. 4, no 2

341-361

The steady laminar flow of molten polymer modelled by viscoplastic fluid is considered, through a narrow space between two fixed surfaces of revolution. The problem is described by boundary layer equations. Using the method of averaged inertia one obtains the formulae expressing the pressure distribution. Generally, the flow of viscoplastic fluids given by the nonlinear model of Shulman is considered. The flows of polymers modelled by the viscoplastic fluids of Vočadlo, Herschel - Bulkley, Ostwald - de Waele and Newtonian are discussed in detail. Numerical examples of pressure distributions in the clearance between parallel disks and concentric spherical surfaces are presented.