Abstract
Food processing, paper, chemicals, refining, iron and steel, aluminum, and cement are considered to be most energy intensive industries. Increase in high demand of energy and stochastic variation in gross profit of industries highly influence the energy consumption in these industries. Predicted improvements in energy efficiency in the industrial sector have high spirit of energy demand in industrial sector, particularly for the energy-intensive industries such as food, paper mills. Recycling is a key contributor specially; in the paper mills that improves energy efficiency. An approximate estimate reveals that one-ton pulp produces ~7-ton black liquor with energy of 14.0 MJ per kg of solids. Bio fuels produced from the black liquor is used in the recovery boiler, the solid content of the black liquor required to be escalation by suitable concentration in a Multiple Effect Evaporator (MEE). Hence, Kraft recovery process recycles the weak and organically (lignin) rich black liquor using MEE. However, MEE accounts about half of the total energy input to the paper mills, and constitutes the biggest integral section of their unit operations. Therefore, energy reduction schemes (ERS) are the most imperative issues which are still need to be solved. Hence, the present paper investigates the development of generalized linear mathematical model with simulation using numerical method to compute steam efficiency and steam consumption of backward and parallel feed flow arrangements.
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Abbreviations
- H :
-
Vapor enthalpy (kJ/h)
- L :
-
Weak liquor fed flow rate (kg/h)
- V :
-
Vapor flow (kg/h)
- x :
-
Liquor concentration
- λ :
-
Latent heat of vaporization (kJ/kg)
- h :
-
Liquor enthalpy (kJ/h)
- SC:
-
Steam consumption (kg/h)
- SE:
-
Steam efficiency
- C :
-
Condensate
References
Kern, D.Q.: Process Heat Transfer. Tata McGraw-Hill Education (1950)
Holland, C.D.: Fundamentals and modeling of separation processes: absorption, distillation, evaporation and extraction (1975)
Nishitani, H., Kunugita, E.: The optimal flow-pattern of multiple effect evaporator systems. Comput. Chem. Eng. 3(1–4), 261–268 (1979)
Aly, N.H., Marwan, M.A.: Dynamic response of multi-effect evaporators. Desalination 114(2), 189–196 (1997)
Miranda, V., Simpson, R.: Modelling and simulation of an industrial multiple effect evaporator: tomato concentrate. J. Food Eng. 66(2), 203–210 (2005)
Lambert, R.N., Joye, D.D., Koko, F.W.: Design calculations for multiple-effect evaporators. 1. Linear method. Ind. Eng. Chem. Res. 26(1), 100–104 (1987)
Zain, O.S., Kumar, S.: Simulation of a multiple effect evaporator for concentrating caustic soda solution-computational aspects. J. Chem. Eng. Jpn. 29(5), 889–893 (1996)
Higa, M., Freitas, A.J., Bannwart, A.C., Zemp, R.J.: Thermal integration of multiple effect evaporator in sugar plant. Appl. Therm. Eng. 29(2–3), 515–522 (2009)
Khademi, M.H., Rahimpour, M.R., Jahanmiri, A.: Simulation and optimization of a six-effect evaporator in a desalination process. Chem. Eng. Process. 48(1), 339–347 (2009)
Kaya, D., Sarac, H.I.: Mathematical modeling of multiple-effect evaporators and energy economy. Energy 32(8), 1536–1542 (2007)
Bhargava, R., Khanam, S., Mohanty, B., Ray, A.K.: Simulation of flat falling film evaporator system for concentration of black liquor. Comput. Chem. Eng. 32(12), 3213–3223 (2008)
Khanam, S., Mohanty, B.: Energy reduction schemes for multiple effect evaporator systems. Appl. Energy 87(4), 1102–1111 (2010)
Sagharichiha, M., Jafarian, A., Asgari, M., Kouhikamali, R.: Simulation of a forward feed multiple effect desalination plant with vertical tube evaporators. Chem. Eng. Process. 75, 110–118 (2014)
Ruan, Q., Jiang, H., Nian, M., Yan, Z.: Mathematical modeling and simulation of countercurrent multiple effect evaporation for fruit juice concentration. J. Food Eng. 146, 243–251 (2015)
Verma, O.P., Mohammed, T.H., Mangal, S., Manik, G.: Optimization of steam efficiency and consumption of heptad’s effect evaporator system in Kraft recovery process. Int. J. Syst. Assur. Eng. Manage. 9(1), 111–130 (2018)
Verma, O.P., Manik, G.: Solution of SNLAE model of backward feed multiple effect evaporator system using genetic algorithm approach. Int. J. Syst. Assur. Eng. Manage. 8(1), 63–78 (2017)
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)
Kumar, D., Kumar, V., Singh, V.P.: Modeling and dynamic simulation of mixed feed multi-effect evaporators in paper industry. Appl. Math. Model. 37(1–2), 384–397 (2013)
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Pati, S., Yadav, D., Manik, G., Singla, R., Verma, O.P. (2020). Generalized Mathematical Modeling of MEE for Calculation of Steam Efficiency and Steam Consumption. In: Pant, M., Sharma, T., Verma, O., Singla, R., Sikander, A. (eds) Soft Computing: Theories and Applications. Advances in Intelligent Systems and Computing, vol 1053. Springer, Singapore. https://doi.org/10.1007/978-981-15-0751-9_119
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DOI: https://doi.org/10.1007/978-981-15-0751-9_119
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