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Comparative Study of the Quadratic and Linear Shape Function Model in Cake Expression
( Vol-3,Issue-11,November 2017 )


Ndekwu O. B., Ademiluyi J. O.


Expression, Effective stress, Sludge cake.


The principle underlying expression basically involves the separation of a solid from the liquid in which it is suspended by passing the mixture through a porous medium with pore sizes too small to allow the passage of the solid particles at an applied pressure. The analytical method of the finite element method has been used to determine pressure, displacement and concentration distribution along sludge cake height in a filter press expression process. The ranges of displacement in a sludge cake height with increase time of expression increases with a decrease in sludge depth. The displacement increases continuously with increase time of expression. The finite element formulation basically involves the properties of the sludge in question as distinguished from other solution. The solution domain was idealized as a one-dimensional quadratic shape function for the purpose of this analysis and the displacement function formulation method were employed in solving the pressure distribution. The results of the finite element solution further showed that concentration increases with decreasing height of sludge cake interface during sludge dewatering. There is however an increasing tendency to uniformity of concentration with increment in the time of expression.

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[1] Ademiluyi J. O. (1986). Development in the constant Vacuum cake filtration theory: Proceedings of the Engineering section of science association of Nigeria Vol. 6 & 7.
[2] Ademiluyi, J. O. Egbuniwe, N. and Agunwamba, J. C. (1987). A dimensionless number as an index of sludge dewaterability, Journal of Engineering for Development, Vol. 1, p. 1-12.
[3] Ademiluyi, J.O. Anazodo, U.G. and Egbuniwe, N. (1983). Filterability and compressibility of sludge pt 11. Effluent and water treatment journal vol. 23, no 1 pp 25-30.
[4] Anazodo U.G. (1974). Dimensional equation for sludge filtration, effluent and water treatment journal vol, 14 n0 9 pp517-523.
[5] Bear, J. and Bachmat, Y. (1991), Introduction to Modeling of Transport Phenomena in Porous Media, Kluwer Academic Publishers.
[6] Carman, P.C. (1934). A Study of Mechanism of Filtration Part II, Journal of the Society of Chemical Industry, Transactions Communication. 53(6):1591-1651.
[7] Carman, P.C. (1938). Fundamental Principles of Industrial Filtration. Transactions – Institution of Chemical Engineers; 16: 168-188.
[8] Chellappah K. Tarleton E.S. and Wakeman R.J. (2009). Cake filtration and sedimentation of fibre/particle mixtures, Poster session presented at: 10th UK Particle Technology Forum, 2009 Jul 1-2; Birmingham, UK (won 2nd place in poster competition).
[9] Chellappah K. Tarleton E.S. and Wakeman R.J. (2010). The porosity, permeability and restructuring of heterogeneous filter cakes, Chemical Engineering and Technology (In Press).
[10] Coackley, P. and Jones, R.S. (1956). Vacuum sludge filtration, Sewage and industrial waste journal.
[11] Coprapciogh, Y. M. (1981). Formation of filter cakes, Filtration and separation, Vol. 18, No. 4, pp. 324-326.
[12] Gale, R.S. (1975). Comment on dimensional equation, Effluent and water treatment journal, p 422.
[13] Grace, H.P. (1953). Resistance and Compressibility of Filter Cakes, Part II: Under Conditions of Pressure Filtration, Chemical Engineering Progress, Vol. 49, No. 7, pp. 367-377.
[14] Hemant, R. M. (1981). Cakes filtration empirically incorporating parcile migration, Filtration and separation. Vol 18, No. 1,pp. 20-24.
[15] Lee, D. J. and Wang, C. H. (2000). Theories of cake filtration and consolidation and implications to sludge dewatering, Water Research, vol. 34(1), pp. 1-20
[16] Rushton, A., Ward, A. S. and Holdich, R. G. (2000). Solid-Liquid Filtration and Separation Technology. Weinheim: Wiley~VCH.
[17] Svarovsky, L. ( 2000). Solid-Liquid Separation, 4th Ed., Butterworth-Heinemann, Oxford, UK,
[18] Tien, C. (2012). Principle of Filtration, Boston: Elsevier Science.