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Analysis of the liquid flow in a vessel with a rotating disk at the liquid surface

Suchecki W.

Chemical and Process Engineering

2014

Vol. 35, nr 1

3--18

This study is concerned with liquid flow induced by a disk which rotates steadily around its axis and touches the free surface of liquid contained in a cylindrical vessel. It is a simplified model of the flow in the inlet part of a vertical cooling crystallizer where a rotary distributor of inflowing solution is situated above the free surface of solution contained in the crystalliser. Numerical simulations of flow phenomena were conducted and the simulation results were interpreted assuming an analogy with Kármán’s theoretical equations. In a cylindrical coordinate system, the components of flow velocity were identified as functions of distance from the surface of the rotating disk. The experimental setup was developed to measure velocity fields, using digital particle velocimetry and optical flow. Conclusions concerning the influence of disc rotation on liquid velocity fields were presented and the experimental results were found to confirm the results of numerical simulation. On the basis of simulation data, an approximation function was determined to describe the relationship between the circumferential component of flow velocity and the distance from the disk.

The flow of viscous incompressible fluid confined between a rotating disk and a porous medium

Chaudhary R. C., Sharma P. K.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 3

607-612

The flow of a viscous fluid induced by the rotation of a disk bounded by a porous medium fully saturated with the liquid is discussed. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium by Brinkman (1947) equations. Flows in the two regions are matched at the interface by the conditions suggested by Ochao-Tapia and Whittaker (1995a; b). Analytical expressions for velocity and skin-friction are obtained and discussed.