mws_che_ode_txt_runge2nd_Examples

mws_che_ode_txt_runge2nd_Examples - Chapter 08.03...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 08.03 Runge-Kutta 2nd 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 2 nd 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 , Per Heun’s method h k k x x i i 2 1 1 2 1 2 1  i i x t f k , 1  h k x h t f k i i 1 2 , For 50 , 0 , 0 0 0 x t i  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 ,   5 . 1 5 . 137 50 , 5 . 1 0 f  25 . 156 , 5 . 1 f ) 25 . 156 ( 5 . 3 5 . 37 38 . 584 h k k x x 2
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

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.

Page1 / 5

mws_che_ode_txt_runge2nd_Examples - Chapter 08.03...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online