Difference between revisions of "User:Tohline/Appendix/Equation templates"

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{{LSU_HBook_header}}
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''<font size="+2" color="darkblue">
''<font size="+2" color="darkblue">
Key Equations Used Throughout H_Book
Key Equations
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Revision as of 19:05, 23 January 2010

Whitworth's (1981) Isothermal Free-Energy Surface
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Key Equations

To insert a given equation into any Wiki document, type ...
{{ User:Tohline/Math/Template_Name }}

Template_Name

Resulting Equation

EQ_Continuity01

LSU Key.png

<math>\frac{d\rho}{dt} + \rho \nabla \cdot \vec{v} = 0</math>

EQ_Euler01

LSU Key.png

<math>\frac{d\vec{v}}{dt} = - \frac{1}{\rho} \nabla P - \nabla \Phi</math>

EQ_FirstLaw01

LSU Key.png

<math>T \frac{ds}{dt} = \frac{d\epsilon}{dt} + P \frac{d}{dt} \biggl(\frac{1}{\rho}\biggr)</math>

EQ_Poisson01

LSU Key.png

<math>\nabla^2 \Phi = 4\pi G \rho</math>

EQ_EOSideal00

<math>~P = n_g k T</math>

EQ_EOSideal0A

LSU Key.png

<math>~P_\mathrm{gas} = \frac{\Re}{\bar{\mu}} \rho T</math>

EQ_EOSideal02

<math>~P = (\gamma_\mathrm{g} - 1)\epsilon \rho </math>

 

Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation