When the S against p curve has been constructed the values of V derived from it using eqn. This leads to a simpler analysis and to a type of density line diagram shown in fig. In the sector AOB on the diagram the concentration is everywhere p1 and the curve of fall AB starts as a straight line. At B the changes propagated from the bottom have just reached the surface and the concentration begins to increase. In the sector BOC the eqn. In fig.
|Published (Last):||3 October 2006|
|PDF File Size:||7.86 Mb|
|ePub File Size:||16.13 Mb|
|Price:||Free* [*Free Regsitration Required]|
Sedimentation processes are studied from two perspectives; a discrete approach and a continuum approach, in which dynamic processes are established. This chapter uses the continuum approach and presents the concept of an ideal suspension and an ideal thickener. Suspensions described by solid concentration, solid component velocity and fluid component velocity constitute the sedimentation process provided they obey the mass conservation equations.
Sedimentation can be performed in batches or continuously. Batch sedimentation is studied first and the Modes of batch sedimentation are established.
These observations are extended to continuous processes. Finally the capacity of an ideal continuous thickener is derived. Kynch sedimentation theory, besides correctly describing the behavior of incompressible suspensions, forms part of the more general theory of compressible materials. The exercise of constructing solutions to Kynch sedimentation processes allows for a better understanding of the sedimentation of compressible pulps. Anyone wanting to understand the phenomenological theory of sedimentation must first master Kynch sedimentation processes.
This process is experimental and the keywords may be updated as the learning algorithm improves. This is a preview of subscription content, log in to check access. References Becker, R. Continuous thickening, design and simulation, Eng. Thesis, University of Concepcion, Chile in Spanish.
On upper rarefaction waves in batch settling. Powder Technology, , 74— On the construction of global weak solutions in the Kynch theory of sedimentation. Mathematical Methods in the Applied Sciences, 10, — Global weak solutions to the problem of continuous sedimentation of an ideal suspension. Mathematical Methods in the Applied Sciences, 13, 1— Control of continuous sedimentation of ideal suspensions as an initial and boundary value problem.
Mathematical Methods in the Applied Sciences, 12, — Sedimentation and thickening: Phenomenological foundation and mathematical theory pp. Dordrecht: Kluwer Academic Publishers. Countinuous settling and thickening. Google Scholar Concha, F. Filtration and separatilon manual, Ed. Settling velocities of particulate systems, 6. Kynch sedimentation processes: Batch settling. International Journal of Mineral Processing, 32, — Settling velocities of particulate systems, 7. Kynch sedimentation processes: Continuous thickening.
International Journal of Mineral Processing, 34, 33— Methods of mathematical physics Vol. New York, p. Google Scholar Davies, K. Settling suspensions of colloidal silica: Observations and X-ray measurements. Journal of the Chemical Society, Faraday Transactions, 87, — A theory of sedimentation.
Transactions of the Faraday Society, 48, — The analysis of continuous thickening. Google Scholar Copyright information.
Kynch Theory of Sedimentation
This may take some time to load. The first part of the curve is a vertical straight line, which is considered to be in the hindered settling zone. A theory of sedimentation. Characteristic curves that define the ideal batch-thickening behavior were developed to facilitate the analysis.
Kynch A Theory Of Sedimentation.pdf
An understanding of sedimentation and consolidation of tailings provides a solid foundation for the management of tailings. Kynch theory, the first mathematical formulation of sedimentation theory, is widely used as a tool in the analysis of batch sedimentation. However, due to various idealized assumptions within Kynch theory, the application of this theory to describe and analyze tailings sedimentation in the laboratory setting has not been well developed. For the purpose of this research, a new apparatus was designed and constructed to carry out column settling tests and to remove and collect samples of water and suspensions in thin layers. Tests conducted with this apparatus aim at investigating the settling behavior and the internal changes in the suspension during the process of sedimentation.