Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32128
To Study the Parametric Effects on Optimality of Various Feeding Sequences of a Multieffect Evaporators in Paper Industry using Mathematical Modeling and Simulation with MATLAB

Authors: Deepak Kumar, Vivek Kumar, V. P. Singh


This paper describes a steady state model of a multiple effect evaporator system for simulation and control purposes. The model includes overall as well as component mass balance equations, energy balance equations and heat transfer rate equations for area calculations for all the effects. Each effect in the process is represented by a number of variables which are related by the energy and material balance equations for the feed, product and vapor flow for backward, mixed and split feed. For simulation 'fsolve' solver in MATLAB source code is used. The optimality of three sequences i.e. backward, mixed and splitting feed is studied by varying the various input parameters.

Keywords: MATLAB "fsolve" solver, multiple effectevaporators, black liquor, feeding sequences.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2998


[1] A.K. Ray and Pitam. Singh, "Simulation of Multiple Effect Evaporator for black Liquor Concentration", IPPTA, vol. 12(3), pp. 35-45, (2000).
[2] A.R. Gupta, "Mathematical Modeling g and analysis of pulp washing problems", Ph.D Thesis, Indian Institute of Technology Roorkee. (2001).
[3] A.K. Ray, N.K. Sharma and Pitam. Singh, "Estimation of Energy Gains through Modelling and Simulation of Multiple Effect Evaporator System in a Paper Mill", IPPTA, vol. 16(2), pp. 35-45, (2004).
[4] A.K. Ray and N.K. Sharma, "Simulation of Multi-Effect Evaporator for Paper Mill-Effect of Flash and Product Utilization for Mixed Feeds Sequences", IPPTA, vol. 16(4), pp. 55-64, (2004).
[5] A.O.S. Costa, and E.L. Enrique, "Modeling of an industrial multiple effect evaporator system", In Proceedings of the 35th Congresso e Exposicao Anual de Celulose e Papel. 2002.
[6] B.K. Dutta, Heat transfer Priciples and Applications. Prentice Hall of India Pvt.Ltd, New Delhi. (2005).
[7] C. D. Holland, "Fundamentals and modelling of separation processes" Englewood cliffs, NJ: Prentice Hall Inc. 1975.
[8] C.H. Runyon, T.R. Rumsey and K.L. McCarthy, "Dynamic simulation of a non-linear model of a double effect evaporator", Journal of Food Engineering, vol. 14, pp. 185-201, 1991.
[9] C. Cadet, Y. Toure, G. Gilles and J.P. Chabriat, "Knowledge modelling and non-linear predictive control of evaporators in cane sugar production plants", Journal of Food Engineering, vol. 40(1/2), pp.59- 70, 1999.
[10] C. Riverol, and V. Napolitano, "Non-linear Control of an evaporator using an error trajectory technique", Journal of Chemical Technology and Biotechnology, vol. 75, pp. 1047-1053, 2000.
[11] D.Q. Kern, "Process heat transfer". McGraw Hill, 1950.
[12] H. Nishitani and E. Kunugita, "The optimal flow pattern of multiple effect evaporator systems" Computers and Chemical Engineering, vol. 3,pp. 261-268, 1979.
[13] H.T. El-Dessouky, I. Alatiqi, S. Bingulac and H. Ettouney, "Steady state analysis of the multiple effect evaporation desalination process". Chemical Engineering Technology, 21, 15-29. 1998.
[14] H.T. El-Dessouky, H.M. Ettouney and F. Al-Juwayhel, "Multiple effect evaporation-vapor compression desalination processes", Transactions of IChemE, vol. 78(Part A), pp. 662-676, 2000.
[15] J. Gullichsen and C.J. Fogelholm, Chemical Pulping, Paper Making Science and Technology a series of 19 books, 6B, B18-20, 2000.
[16] J. Algehed, & T. Berntsson Evaporation of black liquor and wastewater using medium-pressure steam:Simulation and economic evaluation of novel designs, Applied Thermal Engineering, 23, 481-495, 2003.
[17] L.R. Radovic, A.Z Tasic, D.K. Grozanic, B.D. Djordjevic and V.J. Valent, "Computer design and analysis of operation of a multiple effect evaporator system in the sugar industry", Industrial and Engineering Chemistry Process Design and Development, vol. 18, pp. 318-323, 1979.
[18] M.H. Khademi, M.R. Rahimpour, and A. Jahanmiri, "Simulation and optimization of a six-effect evaporator in a desalination process", Chemical Engineering and Processing, vol. 48, pp. 339-347, (2009).
[19] N.J. Rao, and R. Kumar, "Energy conservation approaches in a paper mill with special reference to the evaporator plant". In Proceedings of the IPPTA international (1985).
[20] R.N. Lambert, D.D. Joye and F.W. Koko, "Design calculations for multiple effect evaporators. I. Linear methods", Industrail Engineering Chemistry Research, vol. 26, pp. 100-104, 1987.
[21] R. Bhargava, "Simulation of flat falling film evaporator network", PhD dissertation, Department of Chemical Engineering, Indian Institute of Technology Roorkee, India, 2004.
[22] R .Bhargava, S .Khanam., B .Mohanty and A. K. Ray, "Selection of optimal feed flow sequence for a multiple effect evaporator system", Computers and Chemical Engineering, vol. 32, pp. 2203-2216, 2008a.
[23] R .Bhargava, S .Khanam., B .Mohanty and A. K. Ray, "Simulation of flat fallinf film evaporator system for concentration black liquor", Computers and Chemical Engineering, vol. 32, pp. 3213-3233, 2008b.
[24] S. Itahara and L.I. Stiel, "Optimal design of multiple effect evaporators by dynamic programming", Industrial and Engineering Chemistry Process Design and Development, vol. 5, pp. 309, 1966.
[25] S. Khanam and B.Mohanty, "Energy reduction schemes for multiple effect evaporator systems", Applied Energy, vol. 87, pp.1102-1111, (2010).
[26] V.K. Agarwal, M.S. Alam. and S.C. Gupta. "Mathematical model for existing multiple effect evaporator systems", Chemical Engineering World, vol.39, pp. 76-78. 2004.
[27] V. Miranda and R. Simpson, "Modelling and simulation of an industrial multiple effect evaporator: Tomato concentrate", Journal of Food Engineering, vol. 66, pp. 203-210, 2005.