mws_che_nle_txt_bisection_examples

mws_che_nle_txt_bisection_examples - Chapter 03.03...

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

View Full Document Right Arrow Icon
Chapter 03.03 Bisection Method of Solving a Nonlinear Equation – More Examples Chemical Engineering Example 1 You have a spherical storage tank containing oil. The tank has a diameter of 6 ft. You are asked to calculate the height h to which a dipstick 8 ft long would be wet with oil when immersed in the tank when it contains 4 of oil. 3 ft h r Spherical Storage Tank Dipstick Figure 1 Spherical storage tank problem. The equation that gives the height, h , of the liquid in the spherical tank for the given volume and radius is given by  0 8197 . 3 9 2 3 h h h f Use the bisection method of finding roots of equations to find the height, , to which the dipstick is wet with oil. Conduct three iterations to estimate the root of the above equation. h Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration. 03.03.1
Background image of page 1

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

View Full DocumentRight Arrow Icon
03.03.2 Chapter 03.03 Solution From the physics of the problem, the dipstick would be wet between 0 h and , where r h 2 r radius of the tank, that is 6 0 ) 3 ( 2 0 2 0 h h r h Let us assume 6 , 0 u h h Check if the function changes sign between
Background image of page 2
Image of page 3
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.

Page1 / 4

mws_che_nle_txt_bisection_examples - Chapter 03.03...

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

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