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
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
Solution

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Iterative Methods
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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