In this study, a model for sludge filtration resistance (SFR) was developed using electrical resistance analogy by relating the rate at which water flows to the current of charge to determine Sludge Filtration Resistance using a typical single Electrical Resistance from a Direct Current Circuit. Synthetic sludge was successfully formulated for experimental purposes. The advantage of using synthetic sludge was that they permitted experiments to be performed on stable samples with known physical and chemical properties not subject to degradation by microbial activity. The result from the present study indicates the effect of conditioner on synthetic sludge filtration at variable pressure for sludge filtration resistance (SFR) and the trends in the results indicated that SFR reduces with increase in the concentration of dissolved salt (CaCl 2 ). The linearity observed between plot of volume of filtrate versus time of filtration by correlation coefficient of R 2 = 0.9292 (Figure 1) for 10 g of CaCl 2 and R 2 = 0.9294 (Figure 2) for 18 g of CaCl 2 . It is evident from the calculated values that they are very strong and have testified that the effect of conditioner on synthetic sludge filtration at variable pressure for sludge filtration resistance (SFR) using electrical resistance analogy is very satisfactory. When compared the existing data from SFR with other measure of filterability calculated using Carman’s equation to validate the model, it was observed that specific resistance decreases as the concentration of CaCl 2 (dissolved salt) increases which agrees with SFR.
Sanin, F.D., Clarkson, W.W. and Vesilind, P.A. (2011) Sludge Engineering: The Treatment and Disposal of Wastewater Sludges. DEStech Publications, Inc. Lancaster, PA.
Ademiluyi, J.O. and Arimieari, L.W. (2012) Evaluating the Specific Resistance of Conditioned Sludge Filtration on Natural Drying Bed. International Journal of Current Research, 4, 157-161.
Garg, S.K. (2008) Sewage Disposal and Air Pollution Engineering. Khanna Publishers; 2-B, Nath Market, Nai Sarak, Delhi, 401-404.
Agunwamba, J.C. (2001) Waste Engineering and Management Tools. Immaculate Publication Ltd., Enugu, p. 186.
Hammer, M.J. and Hammer Jr., M.J. (2000) Water and Wastewater Technology. Prentice-Hall of India Private Limited, New Delhi, 275-276, 421-430.
Klingel, F., Montangero, A., Kone, D. and Strauss, M. (2002) A Planning Manual on Fecal Sludge Management. Swiss Federal Institute for Environmental Science and Technology Department for Water and Sanitation in Developing Countries.
Wu, Q. (2003) Mathematical Modeling Analysis of Floating Bead Biofilter Applications to Domestic Wastewater Treatment. A Master of Science Thesis in Civil Engineering. Submitted to the Graduate Faculty of the Louisiana State University and Agricultural and Mechanical College.
Octavio, P.S. (2007) Impact of Sludge Pre-Digestion: Disintegration on Dewatering and Polymer Dose. M.Sc. Thesis, Centre for Water Science, Cranfield University, 1-2.
Hakim, S. and Leila, M. (2006) Simulation of a Series of Industrial Slurry Reactors for HDPE Polymerization Process Using Deconvolution of the GPC Graph of Only the First Reactor. Iranian Polymer Journal, 15, 655-666.
Jamal, A.R. and Kamel, K.A. (2011) Increase the Efficiency of Conventional Sand Drying Beds by Using Intensive Solar Energy: A Case Study from Jordan. 2nd International Conference on Environmental Science and Technology IPCBEE, Vol. 6, IACSIT Press, Singapore.
Emir, E.ü. (2002) The Role of Dewaterability Measures on the Liquid-solid Separation of Biological Sludges: Compactibility as a New Measure of Sludge Dewaterability Bogazici University. Institute of Environmental Sciences, Filters and Filtration, 166 p.
Sanin, F.D. and Vesilind, P.A. (1996) Synthetic Sludge: A Physical/Chemical Model in Understanding Bioflocculation. Water Environment Research, 68, 927-933. https://doi.org/10.2175/106143096X127938
Fuchs, H.U. (2010) The Dynamics of Heat: A Unified Approach to Thermodynamics and Heat Transfer. Graduate Texts in Physics, Springer Science+Business Media, LLC. https://doi.org/10.1007/978-1-4419-7604-8
Nave, C.R. (2008) Water Circuit Analogy to Electric Circuit Part 1, Hyper Physics. Georgia State University, Atlanta, GA.
Keiding, K. and Rasmussenb, M.R. (2003) Osmotic Effects in Sludge Dewatering. Advances in Environmental Research, 7, 641-645. https://doi.org/10.1016/S1093-0191(02)00043-6
Attar, M.H., Bina, B. and Moeinian, K. (2005) Effects of Aeration Rate and Detention Time on Thermophilic Aerobic Digestion of Mixed Sludge and Its Dewaterability. International Journal of Environmental Science and Technology, 2, 105-111. https://doi.org/10.1007/BF03325864
Viessman, W. and Hammer, M. (1985) Water Supply and Pollution Control. 4th Edition, Harper and Row Publishers, New York.
Anazodo, U.G.N. (1975) Dimensional Equation for Sludge Filtration. Effluent and Water Treatment Journal, 422-423.
Ademiluyi, J.O. and Eze, B.I. (2014) FMTLxLyLz Dimensional Equation for Sludge Drying Beds. Nigerian Journal of Technology, 33, 367-374. https://doi.org/10.4314/njt.v33i3.15
Onosakponome, O.R. and Onyejekwe, S.C. (2014) Systematic Modeling of Sludge Filtration Process using Dimensional Analysis Technique. International Journal of Engineering Research and Applications, 4, 43-53.
Afangiden, C.B., Offiong, A. and Ademiluyi, J.O. (2014) Comparative Study of the LTM and FLMT Dimensional Equations for Sludge Filtration. Journal of Engineering and Applied Sciences, 9, 224-230.
Grace, H.P. (1953) Resistance and Compressibility of Filter Cakes. Chemical Engineering Progress, 49, 303-318.
Tiller, F.M. and Shirato, M. (1964) The Role of Porosity in Filtration: Part VI New Definition of Filtration Resistance. Journal of American Institute of Chemical Engineers, 10, 61-67.
Carman, P.C. (1934) A Study of the Mechanism of Filtration Part 111. Journal of the Society of Chemical Industry, Transactions and Communications, 53, 159T-165T.
Ruth, B.F. (1935) Studies in Filtration Derivation of General Filtration Equation. Industrial and Engineering Chemistry, 25, 76-82.
Shirato, M. and Tsutomu, A. (1972) Verification of Internal Flow Mechanism Theory of Cake Filtration. Filtration and Separation, 9, 290-297.
Ademiluyi, J.O., Anazodo, U.G.N. and Egbuniwe, N. (1982) Filterability and Compressibility of Sludges, Part 1. Effluent and Water Treatment Journal, 22, 428-431.
Ademiluyi, J.O. (1981) The Filterability and Compressibility of Domestic, Agricultural and Industrial Sludges. M.Sc. Thesis, University of Nigeria, Nsukka, 105 p.
Coackley, P. (1958) Laboratory Scale Filtration Experiments and Their Application to Sewage Sludge Dewatering. In: Mccabe and Eckenfelder, Eds., Biological Treatment of Sewage and Industrial Wastes, Reinhold Pub. Corp., New York, 270-290.
Swanwick, J.O. and Marian, F.M. (1961) Determination of Specific Resistance to Filtration. Water and Waste Treatment, 8, 386-389.
Christensen, G.L. (1983) Units for Specific Resistance. Water Environment Federation, 55, 417-418.
Pietila, K.A. and Jobert, P.J. (1981) Examination of Process Parameters Affecting Sludge Dewatering with a Diaphragm Filter Press. Journal of Water Pollution Control Federation, 53, 1708-1716.
Wu, Y.O., Smith, D. and Novak, R. (1982) Filtrability of Activated Sludge in Response to Growth Conditions. Journal of Water Pollution Control Federation, 54, 444-456.
Purchas, D.B. (1980) A Practical View of Filtration Theory. Filtration and Separation, 17, 147-151.
Alsop, G.M. and Conway, R.A. (1982) Improved Thermal Sludge Conditioning by Treatment with Acids and Bases. Journal (Water Pollution Control Federation), 54, 146-152.
Knocke, W.R., Ghosh, M.M. and Novak, T.J. (1983) Vacuum Filtration of Metal Hydroxide Sludges. Journal of Environmental Engineering Division, 106, 363-376.
OFI Testing Equipment, Inc. Filter Press with CO2 Assembly Instruction Manual Updated 12/30/2014 Ver. 2.5. Houston. http://www.ofite.com
Rodriguez-Valverde, M.A. and Tirado-Miranda, M. (2009) A Simpler Derivation of the Integral Formula of Electrical Resistance. European Journal of Physics, 30, L47-L50. https://doi.org/10.1088/0143-0807/30/4/L01