mws_mec_ode_txt_euler_Examples

mws_mec_ode_txt_euler_Examples - Chapter 08.02 Eulers...

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

View Full Document Right Arrow Icon
08.02.1 Chapter 08.02 Euler’s Method for Ordinary Differential Equations- More Examples Mechanical Engineering Example 1 A solid steel shaft at room temperature of C 27 o is needed to be contracted so that it can be shrunk-fit into a hollow hub. It is placed in a refrigerated chamber that is maintained at C 33 o . The rate of change of temperature of the solid shaft is given by  33 588 5 10 42 5 10 35 1 10 33 2 10 69 3 10 33 5 2 2 3 3 5 4 6 6 θ . θ . θ . θ . θ . . dt d θ C 27 0 θ Using Euler’s method, find the temperature of the steel shaft after 86400 seconds. Take a step size of 43200 h seconds. Solution 33 588 5 10 42 5 10 35 1 10 33 2 10 69 3 10 33 5 2 2 3 3 5 4 6 6 θ . θ . θ . θ . θ . . dt d θ 33 588 5 10 42 5 10 35 1 10 33 2 10 69 3 10 33 5 , 2 2 3 3 5 4 6 6
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.

Page1 / 4

mws_mec_ode_txt_euler_Examples - Chapter 08.02 Eulers...

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