A dynamic model has been developed to study the dynamic behavior of multi component batch extractive distillation column. The set of equations governing (material bvalance, heat balance, summation of mole and equilibrium equations) which represent the dynamic model are solved to give the temperature and composition profile. Eigenvalue method was used to integrate the stiff ordinary differential equations. Matrix method was used to solve many equations simultaeously to redefine the column

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... ers during program run. Newtons algorithm was used to calculate the plate temperatures on each tray. The calculations and simulations in this paper were obtained by using MATLAB environment, version 6. The result of the proposed model are compared with experimental result taken under the same operating conditions. This model shows good agreement with experimental results and explains features of the batch extractive distillation process. ‫ﺍﻻ‬ ‫ﺍﻟﺘﻘﻁﻴﺭ‬ ‫ﻟﺒﺭﺝ‬ ‫ﺍﻟﺭﻴﺎﻀﻲ‬ ‫ﺍﻟﻤﻭﺩﻴل‬ ‫ﺍﻟﻭﺍﺤﺩﺓ‬ ‫ﺒﺎﻟﺩﻓﻌﺔ‬ ‫ﺴﺘﺨﻼﺼﻲ‬ ‫ﺍﻟﺨﻼﺼﺔ‬ ‫ﺒﺎﻟﺩﻓﻌﺔ‬ ‫ﺍﻻﺴﺘﺨﻼﺼﻲ‬ ‫ﺍﻟﺘﻘﻁﻴﺭ‬ ‫ﺒﺭﺝ‬ ‫ﺴﻠﻭﻙ‬ ‫ﻟﺩﺭﺍﺴﺔ‬ ‫ﺍﻟﺩﻴﻨﺎﻤﻴﻜﻲ‬ ‫ﺍﻟﻨﻤﻭﺫﺝ‬ ‫ﺘﻁﻭﻴﺭ‬ ‫ﺘﻡ‬ ‫ﺍﻟﺒﺤﺙ‬ ‫ﻫﺫﺍ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻭﺍﺤﺩﺓ‬. ‫ﺍﻟﻤﺴﺘﻘﺭﺓ‬ ‫ﻏﻴﺭ‬ ‫ﺍﻟﻼﺨﻁﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻻﺕ‬ ‫ﻤﺠﻤﻭﻋﺔ‬ ‫ﺤل‬ ‫ﺘﻡ‬ ‫ﺍﻻﺴﺘﺨﻼﺼـﻲ‬ ‫ﺍﻟﺘﻘﻁﻴـﺭ‬ ‫ﻟﻌﻤـﻭﺩ‬ ‫ﺘﻜﺎﻤل‬ ‫ﻁﺭﻴﻘﺔ‬ ‫ﺒﺎﺴﺘﻌﻤﺎل‬) Eigenvalue method (‫ﺍﻟﺘﺭﺍﻜﻴﺯ‬ ‫ﻟﺤﺴﺎﺏ‬ ‫ﻭﺫﻟﻙ‬ ‫ﻤـﻊ‬ ‫ﺍﻟﺒـﺭﺝ‬ ‫ﺨـﻼل‬ ‫ﺍﻟﺯﻤﻥ‬. ‫ﻤﻊ‬ ‫ﺍﻟﻤﻌﺎﺩﻻﺕ‬ ‫ﻤﻥ‬ ‫ﺍﻨﻭﺍﻉ‬ ‫ﺍﺭﺒﻌﺔ‬ ‫ﺤل‬ ‫ﻴﺘﻀﻤﻥ‬ ‫ﺍﻟﺭﻴﺎﻀﻲ‬ ‫ﺍﻟﻤﻭﺩﻴل‬ ‫ﻋـﻥ‬ ‫ﺘﻌﺒﺭ‬ ‫ﺍﻟﻤﻌﺎﺩﻻﺕ‬ ‫ﻭﻫﺫﻩ‬ ‫ﺍﻟﺯﻤﻥ‬) ‫ﺍﻟﻤﺎﺩﺓ‬ ‫ﻤﻭﺍﺯﻨﺔ‬ , ‫ﺍﻟﻁﺎﻗﺔ‬ ‫ﻤﻭﺍﺯﻨﺔ‬ , ‫ﺍﻟﺘﺭﺍﻜﻴﺯ‬ ‫ﻤﺠﻤﻭﻉ‬ , ‫ﺍﻟﺒﺨﺎﺭﻱ‬ ‫ﺍﻟﺘﻭﺍﺯﻥ‬ .(‫ﻁﺭﻴﻘـﺔ‬ ‫ﺍﺴـﺘﺨﺩﻤﺕ‬ ‫ﻟﺘﻘﻴﻴﻡ‬ ‫ﻭﺫﻟﻙ‬ ‫ﻭﺍﻟﺤﺴﺎﺏ‬ ‫ﺍﻟﻔﺭﻀﻴﺔ‬ ‫ﻁﺭﻴﻘﺔ‬ ‫ﻋﻠﻰ‬ ‫ﺘﻌﺘﻤﺩ‬ ‫ﻭﺍﻟﺘﻲ‬ ‫ﻨﻴﻭﺘﻥ‬ ‫ﺨ‬ ‫ﺍﻟﺤﺭﺍﺭﺓ‬ ‫ﺩﺭﺠﺎﺕ‬ ‫ﺍﻟﺒـﺭﺝ‬ ‫ﻼل‬. ‫ﺍﻟﺼـﻭﺍﻨﻲ‬ ‫ﻟﻜل‬ ‫ﻭﺍﻟﺴﺎﺌل‬ ‫ﻟﻠﺒﺨﺎﺭ‬ ‫ﺍﻟﺠﺭﻴﺎﻥ‬ ‫ﻤﻌﺩﻻﺕ‬ ‫ﻟﺤﺴﺎﺏ‬ ‫ﺍﻟﻤﺼﻔﻭﻓﺎﺕ‬ ‫ﻁﺭﻴﻘﺔ‬ ‫ﺍﺴﺘﺨﺩﺍﻡ‬ ‫ﺘﻡ‬ ‫ﻭﻜﺫﻟﻙ‬ ‫ﺍﻟﺘﻘﻁﻴﺭ‬ ‫ﺒﺭﺝ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﻭﺠﻭﺩﺓ‬. ‫ﺒﺭﻨـﺎﻤﺞ‬ ‫ﺒﺎﺴﺘﻌﻤﺎل‬ ‫ﺘﻤﺕ‬ ‫ﻗﺩ‬ ‫ﺍﻟﺒﺤﺙ‬ ‫ﻫﺫﺍ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺭﻴﺎﻀﻴﺔ‬ ‫ﻭﺍﻟﻤﻌﺎﻟﺠﺎﺕ‬ ‫ﺍﻟﺤﺴﺎﺒﺎﺕ‬ ‫ﻜل‬) Matlab 6 .(‫ﺍﻟﻨﻬﺎﻴﺔ‬ ‫ﻓﻲ‬ ‫ﺘﻤﺕ‬ ‫ﺍﻟﻤ‬ ‫ﺍﻟﻨﻅﺭﻴﺔ‬ ‫ﺍﻟﻨﺘﺎﺌﺞ‬ ‫ﻤﻘﺎﺭﻨﺔ‬ ‫ﺴﺘ‬ ‫ﺍﻟﻤ‬ ‫ﻫﺫﺍ‬ ‫ﻤﻥ‬ ‫ﻨﺘﺠﺔ‬ ‫ﻋﻤﻠﻴـﺔ‬ ‫ﻨﺘﺎﺌﺞ‬ ‫ﻤﻊ‬ ‫ﺍﻟﺭﻴﺎﻀﻲ‬ ‫ﻭﺩﻴل‬ ‫ﺍﻟﻅﺭﻭﻑ‬ ‫ﺒﻨﻔﺱ‬ ‫ﻤﺎﺨﻭﺫﺓ‬ , ‫ﻭﺍﻟﻨﻅﺭﻴﺔ‬ ‫ﺍﻟﻌﻤﻠﻴﺔ‬ ‫ﺍﻟﻨﺘﺎﺌﺞ‬ ‫ﺒﻴﻥ‬ ‫ﻜﺒﻴﺭﺍ‬ ‫ﺘﻭﺍﻓﻘﺎ‬ ‫ﻫﻨﺎﻟﻙ‬ ‫ﺍﻥ‬ ‫ﻅﻬﺭ‬. ‫ﻴﻤﻜﻥ‬ ‫ﻟﺫﻟﻙ‬ ‫ﺍﻟﻤﻭﺩﻴل‬ ‫ﻫﺫﺍ‬ ‫ﺍﺴﺘﺨﺩﺍﻡ‬ ‫ﻤﻥ‬ ‫ﻜل‬ ‫ﻟﻭﺼﻑ‬ ‫ﻤﺴﺘﻘﺒﻼ‬ ‫ﺍﻟﺭﻴﺎﻀﻲ‬ ‫ﺍﻟﺠﺭﻴﺎﻥ‬ ‫ﺍﻟﺤﺭﺍﺭﺓﻭﻤﻌﺩل‬ ‫ﻭﺩﺭﺤﺔ‬ ‫ﺍﻟﺘﺭﻜﻴﺯ‬ ‫ﺍﻻﺴﺘﺨﻼﺼﻲ‬ ‫ﺍﻟﺘﻘﻁﻴﺭ‬ ‫ﺠﻬﺎﺯ‬ ‫ﻨﻘﺎﻁ‬ ‫ﻤﻥ‬ ‫ﻨﻘﻁﺔ‬ ‫ﺃﻱ‬ ‫ﻓﻲ‬ .