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macros.lyx
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658 lines (456 loc) · 9.22 KB
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#LyX 2.2 created this file. For more info see http://www.lyx.org/
\lyxformat 508
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass report
\use_default_options true
\master thesis.lyx
\maintain_unincluded_children false
\language english
\language_package default
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\font_sans "default" "default"
\font_typewriter "default" "default"
\font_math "auto" "auto"
\font_default_family default
\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\graphics default
\default_output_format default
\output_sync 0
\bibtex_command default
\index_command default
\paperfontsize default
\spacing single
\use_hyperref false
\papersize default
\use_geometry false
\use_package amsmath 1
\use_package amssymb 1
\use_package cancel 1
\use_package esint 1
\use_package mathdots 1
\use_package mathtools 1
\use_package mhchem 1
\use_package stackrel 1
\use_package stmaryrd 1
\use_package undertilde 1
\cite_engine basic
\cite_engine_type default
\biblio_style plain
\use_bibtopic false
\use_indices false
\paperorientation portrait
\suppress_date false
\justification true
\use_refstyle 1
\index Index
\shortcut idx
\color #008000
\end_index
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\paragraph_indentation default
\quotes_language english
\papercolumns 1
\papersides 1
\paperpagestyle default
\tracking_changes false
\output_changes false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
\end_header
\begin_body
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\Eact}{E_{\text{{act}}}}
{E_{\text{act}}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\Nhrz}{N_{1/2}}
{N_{1/2}}
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\tolLambda}{\text{tol}_{\lambda}}
{\text{tol}_{\lambda}}
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\TFinal}{T_{\text{f}}}
{T_{\text{f}}}
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\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
Ambient quantities
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\rhoA}{\rho_{\mathrm{a}}}
{\rho_{\mathrm{a}}}
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\begin_layout Standard
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\begin_layout Standard
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\begin_layout Standard
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\begin_layout Standard
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\newcommand{\eA}{e_{\mathrm{a}}}
{e_{\mathrm{a}}}
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\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\lambdaA}{\lambda_{\text{a}}}
{\lambda_{\text{a}}}
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\cA}{c_{\mathrm{a}}}
{c_{\mathrm{a}}}
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\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
ZND quantities
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\rhoZnd}{\bar{\rho}}
{\bar{\rho}}
\end_inset
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\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\vZnd}{\bar{v}}
{\bar{v}}
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\begin_layout Standard
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\newcommand{\uZnd}{\bar{u}}
{\bar{u}}
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\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\UZnd}{\bar{U}}
{\bar{U}}
\end_inset
\begin_inset Note Note
status open
\begin_layout Plain Layout
Flow velocity relative to the shock speed
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\pZnd}{\bar{p}}
{\bar{p}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\eZnd}{\bar{e}}
{\bar{e}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\lambdaZnd}{\bar{\lambda}}
{\bar{\lambda}}
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\cZnd}{\bar{c}}
{\bar{c}}
\end_inset
\begin_inset Note Note
status open
\begin_layout Plain Layout
Sonic speed
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\rZnd}{\bar{r}}
{\bar{r}}
\end_inset
\begin_inset Note Note
status open
\begin_layout Plain Layout
Reaction rate
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\DZnd}{\bar{D}}
{\bar{D}}
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\begin_layout Standard
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{D_{\text{CJ}}}
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\begin_layout Standard
\begin_inset FormulaMacro
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{\bar{T}}
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\begin_layout Standard
\begin_inset FormulaMacro
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{\bar{\mathcal{M}}}
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\begin_inset Note Note
status open
\begin_layout Plain Layout
Mach number
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
ZND quantities at the shock
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\rhoSZnd}{\bar{\rho}_{\text{s}}}
{\bar{\rho}_{\text{s}}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\uSZnd}{\bar{u}_{\text{s}}}
{\bar{u}_{\text{s}}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\USZnd}{\bar{U}_{\text{s}}}
{\bar{U}_{\text{s}}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\pSZnd}{\bar{p}_{\text{s}}}
{\bar{p}_{\text{s}}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\lambdaSZnd}{\bar{\lambda}_{\text{s}}}
{\bar{\lambda}_{\text{s}}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
Perturbations at the shock
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
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{\rho_{\text{s}}}
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\begin_layout Standard
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{u_{\text{s}}}
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\end_layout
\begin_layout Standard
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
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{\lambda_{\text{s}}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Note Note
status open
\begin_layout Plain Layout
Mathematical stuff
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
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\begin_layout Standard
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\begin_layout Standard
\begin_inset FormulaMacro
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{\mathbb{R}}
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\begin_layout Standard
\begin_inset FormulaMacro
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\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\rank}{\text{rank}}
{\text{rank}}
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\begin_layout Standard
\begin_inset FormulaMacro
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\begin_layout Standard
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\begin_layout Standard
\begin_inset FormulaMacro
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\begin_layout Standard
\begin_inset FormulaMacro
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\begin_layout Standard
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
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{\frac{\mathrm{D}#1}{\mathrm{D}#2}}
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\DeltaX}{\Delta x}
{\Delta x}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\DeltaT}{\Delta t}
{\Delta t}
\end_inset
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\begin_layout Standard
\begin_inset FormulaMacro
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\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
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{\boldsymbol{#1}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
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{\mathbb{R}}
\end_inset
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\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\bigO}{\mathcal{O}}
{\mathcal{O}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\chebmat}{\mathcal{D}}
{\mathcal{D}}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset FormulaMacro
\newcommand{\shk}{\text{s}}
{\text{s}}
\end_inset
\end_layout
\end_body
\end_document