{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

mws_che_ode_txt_runge2nd_Examples

# mws_che_ode_txt_runge2nd_Examples - Chapter 08.03...

This preview shows pages 1–3. Sign up to view the full content.

08.03.1 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 1 0 1 2 1 2 1

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

View Full Document
08.03.2 Chapter 08.03 5 . 1 38 . 584 2 1 5 . 137 2 1 50
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

mws_che_ode_txt_runge2nd_Examples - Chapter 08.03...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online