Keywords:-

Keywords: MEEs, Mathematical model, simulation

Article Content:-

Abstract

Evaporators play a vital role in the chemical industry, particularly in concentrating dilute solutions and recovering solvents. Industries such as paper, sugar, and caustic soda production rely on evaporators to concentrate materials like black liquor, sugar cane juice, and caustic soda solutions. Multiple-effect evaporators (MEE) are commonly employed for this purpose. Notably, the evaporation stage is the most energy-intensive process in paper manufacturing, accounting for substantial steam consumption. In India's cellulosic fiber and filament industries, for instance, annual steam consumption for evaporation exceeds 1.75 million tons. Furthermore, studies have shown that multi-effect evaporator systems alone utilize approximately 24-30% of the total steam in large paper mills. Consequently, it is essential to conduct in-depth analyses and explore energy-saving strategies. Developing a mathematical model to predict the performance of the evaporation process would be highly beneficial in this regard.

References:-

References

Al-Ansari, A., Ettouney, H. and El-Dessouky, H.M., “Water-zeolite adsorption heat pump combined with single effect evaporation desalination process”, Renewable Energy, 24, 91-111, (2001).

Algehed, J. and Berntsson, T., “Evaporation of black liquor and wastewater using medium-pressure steam: Simulation and economic evaluation of novel designs”, Applied Thermal Engineering, 23, 481-495, (2003).

Alhusseini, A.A., Tuzla, K., and Chen, J.C., “Falling film evaporation of single component liquids”, Int. J. Heat Mass Transfer, 41(12), 1623-1632, (1998).

Aly, N.H and Marwan, M.A., “Dynamic response of multi-effect evaporators”, Desalination, 114, 189-196, (1997).

Andersen, J.E., Glasson, L.W. and Lees, F.P., “The control of single concentration evaporator”, Transactions of the Society of Instrument Technology, 13(1), 121, (1961).

Andre, H. and Ritter, R.A., “Dynamic Response of a Double Effect Evaporator”, The Canadian Journal of Chemical Engineering, 46, 259-264, (1968).

Bakker Huub, H.C., Marsh, C., Paramalingam, S. and Chen, H., “Cascade controller design for concentration control in a falling-film evaporator”, Food Control, 17, 325-330, (2006).

Ben-Ali, Samia., “Modeling of a double effect evaporator: Bond graph approach”, Chemical Engineering Research and Design, 138, 554-567, (2018).

Bhargava, R., Khanam S., Mohanty, B. and Ray A.K., “Selection of optimal feed flow sequence for a multiple effect evaporator system”, Computers and Chemical Engineering, 32, 2203-2216, (2008 a).

Bhargava, R., Khanam S., Mohanty, B. and Ray A.K., “Simulation of flat falling film evaporator system for concentration of black liquor”, Computers and Chemical Engineering, 32, 3213-3223, (2008 b).

Bojnourd, F.M., Fanaei, M. Ali and Zohreie, H., “ Mathematical modelling and dynamic simulation of multi-effect falling film evaporator for milk powder production” , Mathematical and Computer Modelling of a Dynamical Systems, 21 (4), 336-358, (2015).

Bolmstedt, U. and Jernquist, A., “Simulation of the steady-state and dynamic behaviour of multiple effect evaporator plants”, AIChE Journal, 17(5), 1080, (1976).

Bolmstedt, U., “Simulation of the steady-state and dynamic behaviour of multiple effect evaporator plants, Part: 2 Dynamic Behaviour”, Computer-aided Design, 9(1), 29-40, (1977).

Cadet, C., Toure, Y., Gilles, G. and Chabriat, J.P., “Knowledge modelling and non-linear predictive control of evaporators in cane sugar production plants”, Journal of Food Engineering, 40 (1/2), 59-70, (1999).

Castro Rubens, E.N., Alves Rita M.B., Nascimento Claudio A.O. “Dynamic simulation of multiple-effect evaporation”, Case Studies in Thermal Engineering, 34, 1-14, (2022).

Chandra, P., Mudgal, A. and Patel, J., “Design and modeling of vertical tube evaporator in a thermal-driven multiple effect distillation system”, AQUA — Water Infrastructure, Ecosystems and Society, 72 (6), 841-850, 2023.

Chen,T. and Ruan, Q., “Modeling and energy reduction of multiple effect evaporator system with thermal vapor compression,” Computers and Chemical Engineering, 92, (2016).

Dutta, B.K. “Heat transfer Priciples and Applications”, Prentice Hall of India Pvt.Ltd, New Delhi, (2005). Book

El-Dessouky, H.T., Alatiqi, I., Bingulac, S. and Ettouney, H.M, “Steady-State analysis of the multiple effect evaporation desalination process”, Chem. Eng. Technol., 21(5), 437-451, (1998).

El-Dessouky, H.T., Ettouney, H.M. and Mandani, F., “Performance of parallel feed multiple effect evaporation system for seawater desalination”, Applied Thermal Engineering, 20, 1679-1706, (2000).

El-Nashar, A.M. and Qamhiyeh, A., “Simulation of the performance of MES evaporators under unsteady state operating conditions”, Desalination, 79, 65-83, (1990).

Fang, C.C. and Zhiming, G., “An analysis of black liquor falling film evaporation”, International Journal of Heat and Mass Transfer, 47, 1657-1671, (2004).

Ganjeizadeh F., Gupta Nikita., Burilea Anamika and Zonga Helen., “Optimization of Multiple Effect Evaporation System via Modelling and Simulation”, Procedia Manufacturing 51, 1785–1790, (2020).

Gautami, G. and Khanam, S. “Selection of optimum configuration for multiple effect evaporator system” Desalination, 288, 16-23, (2012).

Gudmundson, C., “Heat transfer in industrial black liquor evaporator plants, part II”, Sevensk Papperstidning, 75(22), 901-908, (1972).

Gullichsen, J. and Fogelholm, C.J., “Chemical Pulping”, Paper Making Science and Technology a series of 19 books, 6B, B18-20, (2000).

Gupta, A., “Mathematical modeling and analysis of pulp washing problems”, Ph.D Thesis, Indian Institute of Technology Roorkee, Roorkee, (2001).

Hanbury, W.T., Proc., IDA World Congress on Desalination and Water Sciences, Abu Dhabi, UAE, 4, 375, (1995).

Higa, M., Freitas, A. J. Bannwart, A. C. and Zemp R. J., “Thermal integration of multiple effect evaporator in sugar plant,” Applied Thermal Engineering, 29, 2–3, (2009).

Hindmarsh, A.C., “ODEPACK, a systemized collection of ode solvers”, Scientific Computing; 1 of IMACS Transactions on Scientific Computing; IMACS, 55-64, (1982).

Hultin, S.O., “Physical Properties of Finish Sulphite Liquors and Black Liquors”, IUPAC-EUCEPA Symposium on Recovery of Pulping Chemicals, Helsinki, 167-182, (1968).

Johnson, D.E., “Simulation and analysis improve evaporator control”, ISA Journal, 7(7), 46, (1960).

Jyoti, G. and Khanam, S., “Simulation of heat integrated multiple effect evaporator system”, International Journal of Thermal Sciences, 76, 110-117, (2014).

Karimi, M., Jahanmiri, A. and Azarmi, M., “Inferential cascade control of multi-effect falling-film evaporator”, Food Control, 18, 1036-1042, (2007).

Kaya, D. and Sarac, I.H., “Mathematical modelling of multiple-effect evaporators and energy economy”, Energy, 32, 1536-1542, (2007).

Khademi, M.H., Rahimpour, M.R. and Jahanmiri, A., “Simulation and optimization of a six-effect evaporator in a desalination process”, Chemical Engineering and Processing, 48, 339-347, (2009).

Khanam, S. and Mohanty, B., “Development of a new model for multiple effect evaporator system” Computers and chemical Engineering, 35(10), 1983-1993, (2011).

Khanam, S. and Mohanty, B., “Energy reduction schemes for multiple effect evaporator systems”, Applied Energy, 87, 1102-1111, (2010).

Koko, F.W. and Joye, D.D., “Design calculations for multiple effect evaporators 2. Comparison of linear and non linear method methods”, Industrial & Engineering Chemistry Research, 26, 104-107, (1987).

Kropholler, H. and Spikins, D., “Principles of control for chemical engineers, Part 3”, Chemical Process Engineering, 558-567, (1965).

Kumana, J.D., “The impact of excess boiling point rise on evaporators and crystallizers”, Chemical Engineering Progress, 86(5), 10-14, (1990).

Kumar, D., Kumar V. and Singh, V. P., “Modelling and dynamic simulation of mixed feed multi-effect evaporators in paper industry”. Applied Mathematical Modelling,37, 384–397, (2013)

Kumar, D., Kumar V. and Singh, V. P., “To study the parametric effect on optimality of various feeding sequences of a multi-effect evaporators in Paper industry using Mathematical modeling and simulation with MATLAB”. International Journal of Materials and Metallurgical Engineering, 4 (12), 742-749, (2010).

Lambert, R.N., Joye, D.D. and Koko, F.W., “Design calculations for multiple effect evaporators I. Linear methods”, Industrial & Engineering Chemistry Research, 26, 100-104, (1987).

Lee, G., Yang, J., Kim, S. and Kim, J., “Modeling and simulation of droplet evaporation using a modified Cahn–Hilliard equation” Applied Mathematics and Computation, 390,

Luyben, W.L., “Dynamic simulation of multi-effect evaporators,” Chemical Engineering and Processing - Process Intensification, 131, (2018)

Miranda, V. and Simpson, R., “Modelling and simulation of an industrial multiple effect evaporator: tomato concentrate”, Journal of Food Engineering, 66, 203-210, (2005).

Newell, R.B. and Lee, P.L., “Applied process control: A case study”, Australia Prentice-Hall, (1989). (Book)

Patel, N.L. and Babu, B.V., "Design of single and multiple-effect evaporators: A computer program", Proceedings of International Symposium & 49th Annual session of IIChE (CHEMCON-96), GIDC, Ankleshwar (Gujarat), December 18-21, (1996).

Perry, R.H., Chilton, C.H. and Kirkpatrick, S.D., “Chemical Engineers Handbook”, 4th edition, McGraw Hill, New York, (1963).

Perry, R.H., Green, D.W. and Maloney, I.O., “Perry’s Chemical Engineers Handbook”, 6th edition, McGraw Hill, New York, (1984).

Pollard J.F., Broussard M.R., Garisson D.B. and San K.Y., “Process identification neural networks”, Computers Chem. Engineering, 16(4), 253-270, (1992).

Prasad, R.C., “Analytical solution for a double-pipe heat exchanger with a non-adiabatic condition at the outer surface”, Int. Comm. Heat Mass Transf., 14, 665-672, (1987).

Prasad, R.C., Karmeshu., and Bharadwaj, K.K., “Stochastic modelling of heat exchanger response to data uncertainties, Applied Mathematical Modelling, 26, 715-726, (2002).

Rao, N.J. and Kumar, R., “Energy conservation approaches in a paper mill with special reference to the evaporator plant”, Proceedings of the IPPTA international seminar on energy conservation in pulp and paper industry, 58-70, (1985).

Ray, A.K. and Sharma, N.K., “Simulation of multi-effect evaporator for paper mill-effect of flash and product utilization for mixed feeds sequences”, IPPTA, 16(4), 55-64, (2004).

Ray, A.K. and Singh, P., “Simulation of multiple effect evaporator for black liquor concentration”, IPPTA, 12(3), 35-45, (2000).

Ray, A.K., Sharma, N.K. and Singh, P., “Estimation of energy gains through modelling and simulation of multiple effect evaporator system in a paper mill”, IPPTA, 16(2), 35-45, (2004).

Regestad, S.O., “Fundamental Studies of Black Liquor Combustion”, Svensk Papperstinding, 54(2), 36, (1951).

Stefanov, Z.I. and Hoo, K.A., “A distributed parameter model of black liquor falling-film evaporators. 1. Modelling of a single plant”, Ind. Eng. Chem. Res., 42, 1925-1937, (2003).

Stefanov, Z.I. and Hoo, K.A., “Distributed parameter model of black liquor falling-film evaporators. 2. Modelling of a multiple-effect evaporator plant”, Ind. Eng. Chem. Res., 43, 8117-8132, (2004).

Svandova, Z., Kotora, M., Markos, J. and Jelemensky, L., “Dynamic behaviour of a CSTR with reactive distillation”, Chemical Engineering Journal, 119, 113-120, (2006).

Syrodoy, S., Kuznetsov, G., Voytkova, K. and Gutareva, N. “Mathematical Modeling of the Evaporation of a Water Drop from a Heated Surface” Langmuir, 39(14) 5041–5055, ( 2023).

Tonelli, S., Romagnoli, J.A. and Porras, J.A., “Computer package for transient analysis of industrial multiple effect evaporators”, Journal of Food Engineering, 12, 267-281, (1990).

Ugrin, E. and Urbicain, M.J., “Design and Simulation of Multi-effect Evaporators”, Heat Transfer Engineering, 20(4), 38-44, (1999).

Veeramani, H. and Koorse, G.M., “Engineering properties of black liquor in process design and development of kraft chemical recovery units”, Indian Pulp and Paper, Oct-Nov. (1975).

Verma, O.P., Mohammed, T.H., Mangal, S., Manik, G., “Minimization of energy consumption in multi-stage evaporator system of Kraft recovery process using Interior-Point Method”, Energy, 129. 148-157, (2017).

Winchester, J.A. and Marsh, C., “Dynamics and control of falling film Evaporators with mechanical Vapor recompression”, Institution of Chemical Engineers Trans IChemE, 77, Part A, 357-371, (1999).

Zhou, S., Gong, L., Liu, X., Shen, S., “Mathematical modeling and performance analysis for multi-effect evaporation/multi-effect evaporation with thermal vapor compression desalination system” Applied Thermal Engineering, 159, pp 113759 (2019)

Downloads

Citation Tools

How to Cite
Kumar, D. (2025). In-Depth Analysis of Steady-State and Dynamic Modeling and Simulation of Multi-Effect Evaporators in Paper and Process Industries. International Journal Of Mathematics And Computer Research, 13(8), 5525-5531. https://doi.org/10.47191/ijmcr/v13i8.04