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These courses are offered in cooperation with the University of Genova.
The fee includes the printed material (high quality color), a USB key with the supporting material, and lunch and refreshments.
Attendees are not required to bring their own laptop since workstations with pre-installed software will be available.
These courses are offered in cooperation with the University of Genova.
The fee includes the printed material (high quality color), a USB key with the supporting material, and lunch and refreshments.
Attendees are not required to bring their own laptop since workstations with pre-installed software will be available.
Chemical reactions
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==Chemical reactions== |
==Chemical reactions== |
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| − | Elementary chemical reaction involving <math> K </math> species in <math> I </math> reactions can be expressed in the following form (see also https://www3.nd.edu/~powers/ame.60636/chemkin2000.pdf): |
+ | Elementary chemical reaction involving <math> K </math> species in <math> I </math> reactions can be expressed in the following form (see also https://www3.nd.edu/~powers/ame.60636/chemkin2000.pdf or the book of <ref> Powers, Joseph. Combustion thermodynamics and dynamics. Cambridge University Press, 2016. </ref>): |
<table width="70%"><tr><td> |
<table width="70%"><tr><td> |
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<math> \nu_{ki}', \nu_{ki}'' </math> and <math> \chi_k </math> are the forward, the backward stoichiometric coefficient and the chemical symbol of the specie <math> k </math>, respectively. |
<math> \nu_{ki}', \nu_{ki}'' </math> and <math> \chi_k </math> are the forward, the backward stoichiometric coefficient and the chemical symbol of the specie <math> k </math>, respectively. |
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| + | In order to make the notation more clear to those who start learning about the usage of CFD to simulate combustion process, Zel'dovich mechanism for the oxidation of N0 (see https://en.wikipedia.org/wiki/Zeldovich_mechanism or also the book of <ref> Powers, Joseph. Combustion thermodynamics and dynamics. Cambridge University Press, 2016. </ref>) is used as an example: |
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| + | <table width="70%"><tr><td> |
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| + | <center><math> |
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| + | N_2 + O \rightleftharpoons NO + N |
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| + | </math></center> |
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| + | </td><td width="5%"></td></tr></table> |
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| + | <table width="70%"><tr><td> |
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| + | <center><math> |
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| + | N + O_2 \rightleftharpoons NO + O |
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| + | </math></center> |
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| + | </td><td width="5%"></td></tr></table> |
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| + | |||
| + | Based on the above example the forward <math> \nu_{ki}' </math> , the backward stoichiometric coefficient <math> \nu_{ki}'' </math> and the chemical symbol of the specie k <math> \chi_k </math> can be written as follows: |
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| + | |||
| + | <table width="70%"><tr><td> |
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| + | <center><math> |
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| + | \nu_{ki}' = \begin{pmatrix}1 & 1 & 0 & 0 & 0 \\0 & 0 & 0 & 1 & 1 \\\end{pmatrix}, \nu_{ki}' = \begin{pmatrix}0 & 0 & 1 & 1 & 0 \\0 & 1 & 1 & 0 & 0 \\\end{pmatrix} , \chi_k = \begin{pmatrix}N_2 \\ O \\ NO \\ N \\ O_2 \\\end{pmatrix} |
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| + | </math></center> |
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==Evolution of species== |
==Evolution of species== |
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==Evolution of the pressure== |
==Evolution of the pressure== |
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| + | ==References== |
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| + | <references/> |
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