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• 06:52, 2 April 2026 Nian talk contribs created page Template:QuoteBox (Created page with "<!-- --><table style="width: 100%; <!-- -->{{#if:{{{border|}}}|border: solid 1px;}} <!-- -->border-collapse: collapse;"><!-- --><tr><!-- --><td style="width: 5em;"></td><!-- --><td style="text-align: {{#if:{{{align|}}}|{{{align}}}|center}}; <!-- -->background-color: {{#if:{{{background-color|}}}|<!-- -->{{{background-color}}}|whitesmoke}}; <!-- -->padding: {{#if:{{{padding|}}}|{{{padding}}}|2em}};"><!-- --><i>"...")
• 19:05, 1 April 2026 Nian talk contribs created page Template:Eqn (Created page with "<!-- -->{{NumEqn<!-- -->|1={{{1|}}}<!-- -->|1={{{2|}}}<!-- -->|1={{{3|}}}<!-- -->|1={{{label|}}}<!-- -->|border={{{border|}}}<!-- -->|noborder={{{noborder|}}}<!-- -->|border-color={{{border-color|}}}<!-- -->|color={{{color|}}}<!-- -->|infobox={{{infobox|}}}<!-- -->|background-color={{{background-color|}}}<!-- -->|inner-border={{{inner-border|}}}<!-- -->|description={{{description|}}}<!-- -->|padding={{{padding|}}}<!-- -->|align={{{align|}}}<!-- -->|numw={{{numw|}}}<!-- -...")
• 18:20, 1 April 2026 Nian talk contribs created page Template:OpenInfoBox (Created page with "<!-- -->{{InfoBox<!-- -->|1={{{1|}}}<!-- -->|2={{{2|}}}<!-- -->|3={{{3|}}}<!-- -->|label={{{label|}}}<!-- -->|description={{{description|}}}<!-- -->|noborder=1<!-- -->}}<!-- -->")
• 17:41, 1 April 2026 Nian talk contribs created page Template:InfoBox (Created page with "<!-- -->{{NumEqn<!-- -->|1={{{1|}}}<!-- -->|2={{{2|}}}<!-- -->|3={{{3|}}}<!-- -->|label={{{label|}}}<!-- -->|nonumber=1<!-- -->|numw=2em<!-- -->|infobox=1<!-- -->|description={{{description|}}}<!-- -->}}<!-- -->")
• 05:41, 31 March 2026 Nian talk contribs created page Template:NumEqnOld (Created page with "<noinclude> <!-- first version --> <!--{{#if: {{{3|}}}|{{EquationRef|{{{2}}}|(Eq. {{{3}}})}}|{{#if: {{{2|}}}|{{EquationRef|{{{2}}}|(Eq. {{#var:leqno}})}}| {{EquationRef|(Eq. {{#var:leqno}})}} }} }}--> <!-- second version --> <!--<td style="width: 5em; padding-right: 0.5em; text-align: right; vertical-align: middle;">{{#if:{{{label|}}}|{{#if:{{{number|}}}|{{EquationRef|{{{label}}}|(Eq. {{{number}}})}}|{{EquationRef|{{{label}}}|(Eq. {{#var:leqno}})}}}}|{{#if:{{{3|}}}|{{Equ...")
• 08:30, 27 March 2026 Nian talk contribs created page Template:NumEqnBorder (Created page with "<!-- --><includeonly><!-- --><table style="width: 100%; border: 1px solid red"><!-- --><tr><!-- --><td style="width: 5em; border: 1px solid blue"></td><!-- --><td style="text-align: center; border: 1px solid blue">{{{1}}}</td><!-- --><td style="width: 5em; padding-right: 0.5em; text-align: right; vertical-align:middle; border: 1px solid blue">{{EquationRef|(Eq. {{{2}}})}}</td><!-- --></tr><!-- --></table><!-- --></includeonly><!-- -->")
• 07:58, 27 March 2026 Nian talk contribs created page Template:NumEqn (Created page with "<!-- --><table style="width: 100%; border: 1px solid red"><!-- --><tr><!-- --><td style="width: 5em; border: 1px solid blue"></td><!-- --><td style="text-align: center; border: 1px solid blue"><math>de=\delta q - \delta w</math></td><!-- --><td style="width: 5em; padding-right: 0.5em; text-align: right; vertical-align:middle; border: 1px solid blue">(Eq. 1)</td><!-- --></tr><!-- --></table><!-- -->")
• 08:23, 25 March 2026 Nian talk contribs created page Template:Trim (Created page with "<includeonly>{{safesubst:#if:1|{{{1|}}}}}</includeonly><noinclude> {{Documentation}} </noinclude>")
• 13:50, 24 March 2026 Nian talk contribs created page Template:NumBlk2 (Created page with "<!-- --><includeonly><!-- -->{{<!-- -->NumBlk<!-- -->|1={{{1}}}<!-- -->|2={{{2}}}<!-- -->|3={{<!-- -->#if:{{{FmtN|}}}<!-- -->|{{<!-- -->#invoke:Numbered block 2|fmtN<!-- -->|{{{FmtN}}}<!-- -->|i={{{Id|{{{IdPfx|math_}}}{{{IdSfx|{{{3}}}}}}}}}<!-- -->|l={{{Lbl|{{{3}}}}}}<!-- -->}}<!-- -->|{{{IdPfx|math_}}}{{{IdSfx|{{{3}}}}}}}}}|{{{Lbl|{{{3}}}}}}<!-- -->}}<!-- -->|RawN={{{RawN|}}}<!-- -->|LnSty={{{LnSty|}}}<!-- -->|Bord...")
• 13:23, 24 March 2026 Nian talk contribs created page Template:NumBlk (Created page with "<!-- --><templatestyles src="Numbered block/styles.css" /><!-- --><includeonly><!-- --><table role="presentation" class="numblk {{#if:{{{RawN|}}}|numblk-raw-n|}} {{#if:{{{Border|}}}|numblk-border|}} {{{Cl|}}}" {{{Attr|style="margin-left: {{#expr:1.6 * {{#invoke:String|len|s={{{1}}}}}}}em;"}}}><!-- --><tr><!-- --><td class="nowrap"><!-- -->{{{2}}}<!-- --></td> <td><!-- -->{{#if:{{{LnSty|}}}|<!-- --><table role="presentation"><!-- --><tr><!--...")
• 13:10, 24 March 2026 Nian talk contribs created page Template:EqNote (Created page with "({{EquationNote|{{{1}}}}})<noinclude>{{Template:EquationRef/doc}} Category:Mathematical formatting templates </noinclude>")
• 11:53, 24 March 2026 Nian talk contribs created page Template:EquationNote (Created page with "'''{{#if:{{{2|}}}|{{{2}}}|{{{1}}}}}'''<noinclude>{{documentation|Template:EquationRef/doc}}</noinclude>")
• 08:48, 24 March 2026 Nian talk contribs created page Template:EquationRef/doc (Created page with "{{#ifeq:{{ROOTPAGENAME}}|EquationRef|{{tsh|EqRef}}}} {{Documentation subpage}} The pair of templates {{tl|EquationRef}} and {{tl|EquationNote}} is used for labeling equations in text. For example, {{markup2|m=<nowiki>:{{EquationRef|Eq. 1}} <math>x^2+x+1=0</math></nowiki>|r= :{{EquationRef|Eq. 1}} <math>x^2+x+1=0</math>}} Here, the identifier "'''Eq. 1'''" is a label which can be later referred to with a call to {{tl|EquationNote}}. That is, {{tlb|EquationNote|Eq. 1}} pr...")
• 08:46, 24 March 2026 Nian talk contribs created page Template:EquationRef (Created page with "<includeonly><span {{#ifeq:{{{noid}}}|noid||id="math_{{{1}}}"}} class="reference nourlexpansion" style="font-weight:bold;">{{#if: {{{2|}}}|{{{2}}}|{{{1}}}}}</span></includeonly><noinclude>{{documentation}}</noinclude>")
• 23:02, 20 March 2026 Nian talk contribs deleted page Category:Topic (content was: "", and the only contributor was "Nian" (talk))
• 22:57, 20 March 2026 Nian talk contribs created page Category:Unsteady waves (Created blank page)
• 22:57, 20 March 2026 Nian talk contribs created page Category:Quasi-one-dimensional flow (Created blank page)
• 22:56, 20 March 2026 Nian talk contribs created page Category:Two-dimensional flow (Created blank page)
• 22:56, 20 March 2026 Nian talk contribs created page Category:Continuous solution (Created blank page)
• 22:55, 20 March 2026 Nian talk contribs created page Category:Wave solution (Created blank page)
• 22:55, 20 March 2026 Nian talk contribs created page Category:One-dimensional flow (Created blank page)
• 22:54, 20 March 2026 Nian talk contribs created page Category:Inviscid flow (Created blank page)
• 22:54, 20 March 2026 Nian talk contribs created page Category:Governing equations (Created blank page)
• 22:53, 20 March 2026 Nian talk contribs created page Category:Thermodynamics (Created blank page)
• 22:03, 20 March 2026 Nian talk contribs created page Category:Collection (Created page with "__HIDDENCAT__")
• 21:59, 20 March 2026 Nian talk contribs created page Unsteady waves (Created page with "Category:Collection Category:Compressible flow Category:Unsteady waves Category:inviscid flow <noinclude> Category:Compressible flow:Section </noinclude> __TOC__ == Moving shock waves == {{:Moving shock waves}} == Acoustic theory == {{:Acoustic theory}} == Finite non-linear waves == {{:Finite non-linear waves}} == Moving expansion waves == {{:Moving expansion waves}} == Shock-tube relations == {{:Shock-tube relations}}")
• 21:53, 20 March 2026 Nian talk contribs created page Quasi-one-dimensional flow (Created page with "Category:Collection Category:Compressible flow Category:Quasi-one-dimensional flow Category:inviscid flow <noinclude> Category:Compressible flow:Section </noinclude> __TOC__ == The Q1D equations == {{:The Q1D equations}} == Area-velocity relation == {{:Area-velocity relation}} == Area-Mach relation == {{:Area-Mach relation}} == Choked flow == {{:Choked flow}} == Nozzle flow == {{:Nozzle flow}} == Diffusers == {{:Diffusers}}")
• 19:10, 20 March 2026 Nian talk contribs created page Category:Pages using the DynamicPageList extension (Created page with "__HIDDENCAT__")
• 19:09, 20 March 2026 Nian talk contribs created page Category:Compressible flow:Outline (Created page with "__HIDDENCAT__")
• 19:09, 20 March 2026 Nian talk contribs created page Category:Compressible flow:Book (Created page with "__HIDDENCAT__")
• 19:08, 20 March 2026 Nian talk contribs created page Category:Compressible flow:Section (Created page with "__HIDDENCAT__")
• 19:06, 20 March 2026 Nian talk contribs created page Compressible flow topics (Created page with "__HIDDENCAT__")
• 18:38, 20 March 2026 Nian talk contribs created page MediaWiki:Sidebar (Created page with " * navigation ** mainpage|mainpage-description ** recentchanges-url|recentchanges ** randompage-url|randompage ** helppage|help-mediawiki ** specialpages-url|specialpages ** :Compressible flow outline|Compressible flow * SEARCH * TOOLBOX * LANGUAGES")
• 17:08, 20 March 2026 Nian talk contribs created page Category:Topic (Created blank page)
• 18:49, 17 March 2026 Nian talk contribs moved page Compressible flow to Compressible flow
• 18:45, 17 March 2026 Nian talk contribs created page Governing equations (Created page with "Category:Compressible flow Category:Governing equations Category:inviscid flow Category:Collection __TOC__ == Governing equations on integral form == {{:Governing equations on integral form}} == Governing equations on differential form == {{:Governing equations on differential form}} == The entropy equation == {{:The entropy equation}} == Crocco's equation == {{:Crocco's equation}}")
• 13:44, 17 March 2026 Nian talk contribs created page Oblique shocks and expansion waves (Created page with "Category:Compressible flow Category:Two-dimensional flow Category:inviscid flow Category:Collection __TOC__ == Oblique shocks == {{:Oblique shocks}} == Expansion waves == {{:Expansion waves}} == Shock-expansion theory == {{:Shock-expansion theory}}")
• 08:05, 17 March 2026 Nian talk contribs created page Template:MyQuote (Created page with "<blockquote class="templatequote"><div class="Bug6200">{{{text|{{{quote|{{{1|<noinclude>{{lorem ipsum}}</noinclude><includeonly>{{error|Error: No text given for quotation (or equals sign used in the actual argument to an unnamed parameter)}}</includeonly>}}}}}}}}}</div>{{#if:{{{sign|{{{cite|{{{2|<noinclude>TRUE</noinclude>}}}}}}}}} |<div class="templatequotecite">—{{{sign|{{{cite|{{{2|<noinclude>Someone</noinclude>}}}}}}}}}{{#if:{{{source|{...")
• 07:50, 17 March 2026 Nian talk contribs created page Template:Quote (Created page with "<div class="center" style="font-style: italic; " {{#if:{{{style|}}}|style="{{{style}}}"}}><q>{{{1}}}</q></div><noinclude> {{Documentation|content= This template is used to centralize contents. == Usage == : {{Tlx|center|Insert text here.}} produces: {{Quote|Insert text here.}} }} [[Category:Formatting templates{{#translation:}}]] </noinclude>")
• 07:42, 17 March 2026 Nian talk contribs created page Template:Center (Created page with "<div class="center" {{#if:{{{style|}}}|style="{{{style}}}"}}>{{{1}}}</div><noinclude> {{Documentation|content= This template is used to centralize contents. == Usage == : {{Tlx|center|Insert text here.}} produces: {{Center|Insert text here.}} }} [[Category:Formatting templates{{#translation:}}]] </noinclude>")
• 22:12, 16 March 2026 Nian talk contribs moved page Thermodynamics to Thermodynamic processes
• 22:10, 16 March 2026 Nian talk contribs created page Isentropic relations (Created page with "Category:Compressible flow Category:Thermodynamics __TOC__ === First law of thermodynamics === First law of thermodynamics: <math display="block"> de=\delta q - \delta w </math> For a reversible process: <math>\delta w=pd(1/\rho)</math> and <math>\delta q=Tds</math> <math display="block"> de=Tds-pd\left(\frac{1}{\rho}\right) </math> Enthalpy is defined as: <math>h=e+p/\rho</math> and thus <math display="block"> dh=de+pd\left(\frac{1}{\rho}\right)+\left(\f...")
• 22:07, 16 March 2026 Nian talk contribs created page Specific heat (Created page with "Category:Compressible flow Category:Thermodynamics __TOC__ For thermally perfect and calorically perfect gases <math display="block"> \begin{aligned} &C_p=\frac{dh}{dT}\\ &C_v=\frac{de}{dT} \end{aligned} </math> From the definition of enthalpy and the equation of state <math>p=\rho RT</math> <math display="block"> h=e+\frac{p}{\rho}=e+RT </math> Differentiate Eqn. \ref{eq:enthalpy} with respect to temperature gives <math display="block"> \frac{dh}{dT}=\fra...")
• 15:35, 16 March 2026 Nian talk contribs created page Shock-tube relations (Created page with "Category:Compressible flow Category:Unsteady waves Category:Inviscid flow __TOC__ \subsection{The Shock Tube Relations} \begin{figure}[ht!] \begin{center} \includegraphics[]{figures/standalone-figures/Chapter07/pdf/shock-tube.pdf} \caption{traveling waves in a shock tube} \label{fig:shocktube} \end{center} \end{figure} \noindent From the analysis of the incident shock, we have a relation for the induced flow behind the shock\\ \begin{equation} u_2=u_p=\f...")
• 15:32, 16 March 2026 Nian talk contribs created page Moving shock waves (Created page with "Category:Compressible flow Category:Unsteady waves Category:Inviscid flow __TOC__ \section{Moving Normal Shock Waves} \noindent The starting point is the governing equations for stationary normal shocks (repeated here for convenience). \begin{equation} \rho_1 u_1 = \rho_2 u_2 \label{eq:stationary:cont} \end{equation} \begin{equation} \rho_1 u_1^2+p_1 = \rho_2 u_2^2 + p_2 \label{eq:stationary:mom} \end{equation} \begin{equation} h_1 + \frac{1}{2}u_1^2 =...")
• 15:31, 16 March 2026 Nian talk contribs created page Moving expansion waves (Created page with "Category:Compressible flow Category:Unsteady waves Category:Inviscid flow __TOC__ \section{Moving Normal Shock Waves} \noindent The starting point is the governing equations for stationary normal shocks (repeated here for convenience). \begin{equation} \rho_1 u_1 = \rho_2 u_2 \label{eq:stationary:cont} \end{equation} \begin{equation} \rho_1 u_1^2+p_1 = \rho_2 u_2^2 + p_2 \label{eq:stationary:mom} \end{equation} \begin{equation} h_1 + \frac{1}{2}u_1^2 =...")
• 15:30, 16 March 2026 Nian talk contribs created page Finite non-linear waves (Created page with "Category:Compressible flow Category:Unsteady waves Category:Inviscid flow __TOC__ \section{Finite Nonlinear Waves} \noindent Starting point: the governing flow equations on partial differential form\\ \noindent Continuity equation: \begin{equation} \frac{\partial \rho}{\partial t}+u\frac{\partial \rho}{\partial x}+\rho\frac{\partial u}{\partial x}=0 \label{eq:pde:cont} \end{equation}\\ \noindent Momentum equation: \begin{equation} \frac{\partial u}{\pa...")
• 15:29, 16 March 2026 Nian talk contribs created page Acoustic theory (Created page with "Category:Compressible flow Category:Unsteady waves Category:Inviscid flow __TOC__ \section{Acoustic Theory} \noindent In the following we are going to derive the linear acoustic wave equation starting from the continuity and momentum equations on non-conservation differential form. The equations are repeated here for convenience.\\ \[\dfrac{D\rho}{Dt}+\rho(\nabla\cdot\mathbf{v})=0\] \[\rho\dfrac{D\mathbf{v}}{Dt}+\nabla p=0\]\\ \noindent Remember that $...")
• 15:10, 16 March 2026 Nian talk contribs created page Nozzle flow (Created page with "Category:Compressible flow Category:Quasi-one-dimensional flow Category:Inviscid flow __TOC__ == Nozzle flow == add description of nozzle flows here...")
• 15:07, 16 March 2026 Nian talk contribs created page Choked flow (Created page with "Category:Compressible flow Category:Quasi-one-dimensional flow Category:Inviscid flow __TOC__ \section{Geometric Choking} \noindent For steady-state nozzle flow, the massflow is obtained as \\ \begin{equation} \dot{m}=\rho uA=const \label{eq:massflow:a} \end{equation}\\ \noindent Eqn. \ref{eq:massflow:a} can be evaluated at any location inside the nozzle and if evaluated at sonic conditions we get\\ \begin{equation} \dot{m}=\rho^* u^* A^* \label{eq:mass...")