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

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(Distinguish between constants, variables, and model parameters)
(added parameters "polytropic index" and "polytropic constant")
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{{User:Tohline/Math/VAR_AdiabaticIndex}}
{{User:Tohline/Math/MP_AdiabaticIndex}}
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   <td>
   <td>
<font color="green">Adiabatic Index (or Ratio of Specific Heats)</font>; dimensionless &nbsp;&nbsp;  
<font color="green">Adiabatic Index (or Ratio of Specific Heats)</font>; dimensionless &nbsp;&nbsp;  
[http://en.wikipedia.org/wiki/Heat_capacity_ratio Authoritative Value]
[http://en.wikipedia.org/wiki/Heat_capacity_ratio Authoritative Discussion]
   </td>
   </td>
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   <td>
[http://www.vistrails.org/index.php/User:Tohline/Math/VAR_AdiabaticIndex VAR_AdiabaticIndex]
[http://www.vistrails.org/index.php/User:Tohline/Math/MP_AdiabaticIndex MP_AdiabaticIndex]
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{{User:Tohline/Math/VAR_MeanMolecularWeight}}
{{User:Tohline/Math/MP_MeanMolecularWeight}}
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[http://www.vistrails.org/index.php/User:Tohline/Math/VAR_MeanMolecularWeight VAR_MeanMolecularWeight]
[http://www.vistrails.org/index.php/User:Tohline/Math/MP_MeanMolecularWeight MP_MeanMolecularWeight]
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{{User:Tohline/Math/MP_PolytropicIndex}}
  </td>
  <td>
<font color="green">Polytropic Index</font>; dimensionless &nbsp;&nbsp;
[http://en.wikipedia.org/wiki/Heat_capacity_ratio Authoritative Discussion]
  </td>
  <td>
[http://www.vistrails.org/index.php/User:Tohline/Math/MP_PolytropicIndex MP_PolytropicIndex]
  </td>
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x006E
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{{User:Tohline/Math/MP_PolytropicConstant}}
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  <td>
<font color="green">Polytropic Constant</font>; dimensions depend on choice of {{User:Tohline/Math/MP_PolytropicIndex}}
  </td>
  <td>
[http://www.vistrails.org/index.php/User:Tohline/Math/MP_PolytropicConstant MP_PolytropicConstant]
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&nbsp;
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</table>
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Revision as of 21:28, 23 January 2010

Whitworth's (1981) Isothermal Free-Energy Surface
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Physical Variables and Constants

To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...
{{ User:Tohline/Math/Template_Name }}

Symbol

Definition

Template_Name

Unicode

Physical Constants:

<math>~G</math>

Newtonian gravitational constant;    Authoritative Value

C_GravitationalConstant

x0047

<math>~k</math>

Boltzmann constant;    Authoritative Value

C_BoltzmannConstant

x006B

<math>~m_p</math>

Proton mass;    Authoritative Value

C_ProtonMass

 

<math>~\Re</math>

Gas constant = <math>~k</math>/<math>~m_p</math>;    Authoritative Value

C_GasConstant

x211C

Variables:

<math>~n_g</math>

Number density;    units of "1/volume"

VAR_NumberDensity01

x004E

<math>~\rho</math>

Mass density;    units of "mass/volume"

VAR_Density01

x03C1

<math>~V</math>

Specific Volume = 1/<math>~\rho</math>;    units of "volume/mass"

VAR_SpecificVolume01

x0056

<math>~\Phi</math>

Newtonian gravitational potential;    units of "energy/mass" or "velocity-squared"

VAR_NewtonianPotential01

x03A6

<math>~P</math>

Pressure;    units of "force/area" or "energy/volume"

VAR_Pressure01

x0050

<math>~\epsilon</math>

Specific internal energy;    units of "energy/mass" or "velocity-squared"

VAR_SpecificInternalEnergy01

x03B5

<math>~t</math>

Time

VAR_Time01

x0074

<math>~T</math>

Temperature;    units of "Kelvin"

VAR_Temperature01

x0054

<math>~\vec{v}</math>

Euclidean 3-space velocity vector;    units of "length/time"

VAR_VelocityVector01

 

<math>~\vec{x}</math>

Euclidean 3-space position vector

VAR_PositionVector01

 

Model Parameters:

<math>~\gamma_\mathrm{g}</math>

Adiabatic Index (or Ratio of Specific Heats); dimensionless    Authoritative Discussion

MP_AdiabaticIndex

 

<math>~\bar{\mu}</math>

Mean molecular weight; dimensionless

MP_MeanMolecularWeight

x03BC

<math>~n</math>

Polytropic Index; dimensionless    Authoritative Discussion

MP_PolytropicIndex

x006E

<math>~K_\mathrm{n}</math>

Polytropic Constant; dimensions depend on choice of <math>~n</math>

MP_PolytropicConstant

 

 

Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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Appendices: | Equations | Variables | References | Ramblings | Images | myphys.lsu | ADS |
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