Modelling and scientific computing

Course slides

<pdfreflow> class_date = 13 September 2010 (slides 1 to 8) button_label = Create my course notes! show_page_layout = 1 show_frame_option = 1 pdf_file = A-Modelling-12-Sept-2010.pdf </pdfreflow>

<pdfreflow> class_date = 15 September 2010 (slides 9 to 15) button_label = Create my course notes! show_page_layout = 1 show_frame_option = 1 pdf_file = A-Modelling-15-Sept-2010.pdf </pdfreflow>

<pdfreflow> class_date = 16 September 2010 (slides 16 to 18)
20 September 2010 (slides 19 to the end) button_label = Create my course notes! show_page_layout = 1 show_frame_option = 1 pdf_file = A-Modelling-15-Sept-2010.pdf </pdfreflow>

Practice questions

1. From the Hangos and Cameron reference, (available here] - accessible from McMaster computers only)
   • Work through example 2.4.1 on page 33
   • Exercise A 2.1 and A 2.2 on page 37
   • Exercise A 2.4: which controlling mechanisms would you consider?
2. Homework problem, similar to the case presented on slide 18, except
   • Use two inlet streams ${\mathsf{F}}_{\mathsf{1}}$ and ${\mathsf{F}}_{\mathsf{2}}$, and assume they are volumetric flow rates
   • An irreversible reaction occurs, $\mathsf{A}\mathsf{+}\mathsf{3}\mathsf{B}\stackrel{\mathsf{r}}{\to }\mathsf{2}\mathsf{C}$
   • The reaction rate for A = $\mathsf{-}{\mathsf{r}}_{\mathsf{A}}\mathsf{=}\mathsf{-}\mathsf{k}{\mathsf{C}}_{\mathsf{\text{A}}}{\mathsf{C}}_{\mathsf{\text{B}}}^{\mathsf{3}}$
   1. Derive the time-varying component mass balance for species B.
   2. What is the steady state value of ${\mathsf{C}}_{\mathsf{B}}$? Can it be calculated without knowing the steady state value of ${\mathsf{C}}_{\mathsf{A}}$?

More exercises to come