Difference between revisions of "Modelling and scientific computing"

From Process Model Formulation and Solution: 3E4
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=Practice questions=
=Practice questions=


From the [[Suggested readings | Hangos and Cameron]] reference, ([http://macc.mcmaster.ca/sites/default/files/theses/Hangos_Cameron_2001_pp1-161.pdf available here]] - accessible from McMaster computers only)
<ol>
<li>From the [[Suggested readings | Hangos and Cameron]] reference, ([http://macc.mcmaster.ca/sites/default/files/theses/Hangos_Cameron_2001_pp1-161.pdf available here]] - accessible from McMaster computers only)


* Work through example 2.4.1 on page 33
* Work through example 2.4.1 on page 33
* Exercise A 2.1 and A 2.2 on page 37
* Exercise A 2.1 and A 2.2 on page 37
* Exercise A 2.4: which controlling mechanisms would you consider?
* Exercise A 2.4: which controlling mechanisms would you consider?
* Homework problem, similar to the case presented on slide 18, except
 
** Use two inlet streams \(\sf F_1\) and \(\sf F_2\), and assume they are volumetric flow rates
<li>Homework problem, similar to the case presented on slide 18, except
** An irreversible reaction occurs, \(\sf A + 3B \stackrel{r}{\rightarrow} 2C\)
* Use two inlet streams \(\sf F_1\) and \(\sf F_2\), and assume they are volumetric flow rates
** The reaction rate for A = \(\sf -r_A = -kC_\text{A} C_\text{B}^3\)
* An irreversible reaction occurs, \(\sf A + 3B \stackrel{r}{\rightarrow} 2C\)
*# Derive the time-varying component mass balance for species B.
* The reaction rate for A = \(\sf -r_A = -kC_\text{A} C_\text{B}^3\)
*# What is the steady state value of \(\sf C_B\)?  Can it be calculated without knowing the steady state value of \(\sf C_A\)?
# Derive the time-varying component mass balance for species B.
# What is the steady state value of \(\sf C_B\)?  Can it be calculated without knowing the steady state value of \(\sf C_A\)?
      
      
</ol>
''More exercises to come''
''More exercises to come''

Revision as of 17:35, 20 September 2010

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 \(\sf F_1\) and \(\sf F_2\), and assume they are volumetric flow rates
    • An irreversible reaction occurs, \(\sf A + 3B \stackrel{r}{\rightarrow} 2C\)
    • The reaction rate for A = \(\sf -r_A = -kC_\text{A} C_\text{B}^3\)
    1. Derive the time-varying component mass balance for species B.
    2. What is the steady state value of \(\sf C_B\)? Can it be calculated without knowing the steady state value of \(\sf C_A\)?

More exercises to come