Lecture-8(flash-Newton-Raphson-solver)

Lecture-8(flash-Newton-Raphson-solver) - Flash Distillation...

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Flash Distillation Iterative Methods Lecture - 8
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Example – Flash Distillation V 1 V 2 L 2 L 1 F Flash Unit (low pressure) Hot, pressurized Feed Most volatile components Second Flash Unit (low pressure) Separation of components in an input feed is possible by this process
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Flash Distillation Given composition of fluid in different stream The goal is to solve the mass flowrate of each of the streams V 1 , V 2 and L 2 . The input feed rate is given to 7,000 kg/h
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Writing component mass balances Methanol 0.300*70,00 kg/h = 0.716*m V1 +0.533*m V2 +0.086* m L2 Butanol 0.400*70,00 kg/h = 0.268*m V1 +0.443*m V2 +0.388* m L2 Ethylene Glycol 0.300*70,00 kg/h = 0.016*m V1 +0.024*m V2 +0.526* m L2
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Solution
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Iterative Methods
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Root Finding The “root” of a function f(x) is a value x* such that f(x*) = 0 For simple functions such as f(x) = x 2 -4 , the root can be simply found by setting f(x) = 0 x 2 -4=0 (x-2)*(x+2) =0 x = 2 and x = -2 are the two roots. These root solutions can also be obtained in an iterative fashion
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Lecture-8(flash-Newton-Raphson-solver) - Flash Distillation...

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