mws_che_ode_txt_runge4th_Examples

# mws_che_ode_txt_runge4th_Examples - Chapter 08.04...

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Chapter 08.04 Runge-Kutta 4th Order Method for Ordinary Differential Equations-More Examples Chemical Engineering Example 1 The concentration of salt x in a home made soap maker is given as a function of time by x dt dx 5 . 3 5 . 37 At the initial time, 0 t , the salt concentration in the tank is 50 g/L Using Runge-Kutta 4 th order method and a step size of, min 5 . 1 h , what is the salt concentration after 3 minutes? Solution x dt dx 5 . 3 5 . 37  x x t f 5 . 3 5 . 37 ,  h k k k k x x i i 4 3 2 1 1 2 2 6 1 For 0 i , 0 0 t , 50 0 x  0 0 1 , x t f k  50 , 0 f ) 50 ( 5 . 3 5 . 37 5 . 137 h k x h t f k 1 0 0 2 2 1 , 2 1  5 . 1 5 . 137 2 1 50 , 5 . 1 2 1 0 f  125 . 53 , 75 . 0 f ) 125 . 53 ( 5 . 3 5 . 37 44 . 223 h k x h t f k 2 0 0 3 2 1 , 2 1

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## This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_che_ode_txt_runge4th_Examples - Chapter 08.04...

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