User:Tohline/Math/EQ PressureTotal01 - Revision history

Tohline: Fix "key" link

2015-07-12T21:17:01Z

Fix "key" link

← Older revision		Revision as of 21:17, 12 July 2015
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	[http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates ~~[[Image:LSU_Key.png\|25px]~~]]		[[Image:LSU_Key.png\|25px\|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates#Equations_of_State]]
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	<math>p_\mathrm{total} = \biggl(\frac{\mu_e m_p}{\bar{\mu} m_u} \biggr) 8 \chi^3 \frac{T}{T_e} + F(\chi) +		<math>~p_\mathrm{total} = \biggl(\frac{\mu_e m_p}{\bar{\mu} m_u} \biggr) 8 \chi^3 \frac{T}{T_e} + F(\chi) +
	\frac{8\pi^4}{15} \biggl( \frac{T}{T_e} \biggr)^4</math>		\frac{8\pi^4}{15} \biggl( \frac{T}{T_e} \biggr)^4</math>
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Tohline: Remove definition of T_e because it is now included among the physical constants defined in the appendix

2010-02-27T21:27:13Z

Remove definition of T_e because it is now included among the physical constants defined in the appendix

← Older revision		Revision as of 21:27, 27 February 2010
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	~~where,     <math>T_e \equiv \frac{m_e c^2}{k}</math> .~~

Tohline: Make expression for p_gas more precise; change T_0 to T_e

2010-02-26T23:23:10Z

Make expression for p_gas more precise; change T_0 to T_e

← Older revision		Revision as of 23:23, 26 February 2010
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	<math>p_\mathrm{total} = 8 \chi^3 \frac{T}{~~T_0~~} + F(\chi) + \frac{8\pi^4}{15} \biggl( \frac{T}{~~T_0~~} \biggr)^4</math>		<math>p_\mathrm{total} = \biggl(\frac{\mu_e m_p}{\bar{\mu} m_u} \biggr) 8 \chi^3 \frac{T}{T_e} + F(\chi) +
			\frac{8\pi^4}{15} \biggl( \frac{T}{T_e} \biggr)^4</math>
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	where,     <math>~~T_0~~ \equiv \frac{m_e c^2}{k}</math> .		where,     <math>T_e \equiv \frac{m_e c^2}{k}</math> .

Tohline: Shorten expression even more

2010-02-26T20:29:11Z

Shorten expression even more

← Older revision		Revision as of 20:29, 26 February 2010
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	<math>p_\mathrm{total} ~~\equiv \frac{P_\mathrm{gas} + P_\mathrm{deg} + P_\mathrm{rad}}{A_\mathrm{F}}~~		<math>p_\mathrm{total} = 8 \chi^3 \frac{T}{T_0} + F(\chi) + \frac{8\pi^4}{15} \biggl( \frac{T}{T_0} \biggr)^4</math>
	= 8 \chi^3 \frac{T}{T_0} + F(\chi) + \frac{8\pi^4}{15} \biggl( \frac{T}{T_0} \biggr)^4</math>
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	where,     <math>T_0 \equiv \frac{m_e c^2}{k}</math> .		where,     <math>T_0 \equiv \frac{m_e c^2}{k}</math> .

Tohline: Modify expression to save space; and insert values of coupling constants

2010-02-26T20:15:13Z

Modify expression to save space; and insert values of coupling constants

← Older revision		Revision as of 20:15, 26 February 2010
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	<math>p_\mathrm{total} \equiv \frac{~~1}{A_\mathrm{F}}\biggl(~~P_\mathrm{gas} + P_\mathrm{deg} + P_\mathrm{rad} ~~\biggr)~~		<math>p_\mathrm{total} \equiv \frac{P_\mathrm{gas} + P_\mathrm{deg} + P_\mathrm{rad}}{A_\mathrm{F}}
	~~= C_~~\mathrm{~~gas~~} \chi^3 \frac{T}{T_0} + ~~F_\chi~~ (\chi) + C_\~~mathrm~~{~~rad~~} \biggl( \frac{T}{T_0} \biggr)^4</math>		= 8 \chi^3 \frac{T}{T_0} + F(\chi) + \frac{8\pi^4}{15} \biggl( \frac{T}{T_0} \biggr)^4</math>
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	where,     <math>T_0 \equiv \frac{m_e c^2}{k}</math> .		where,     <math>T_0 \equiv \frac{m_e c^2}{k}</math> .

Tohline: Create "dimensionless total pressure" expression

2010-02-26T20:08:09Z

Create "dimensionless total pressure" expression

New page

<table border=0 cellpadding=2>
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<td align="right">
[http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates [[Image:LSU_Key.png|25px]]]
</td>
<td align="center">
<math>p_\mathrm{total} \equiv \frac{1}{A_\mathrm{F}}\biggl(P_\mathrm{gas} + P_\mathrm{deg} + P_\mathrm{rad} \biggr)
= C_\mathrm{gas} \chi^3 \frac{T}{T_0} + F_\chi (\chi) + C_\mathrm{rad} \biggl( \frac{T}{T_0} \biggr)^4</math>
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where,     <math>T_0 \equiv \frac{m_e c^2}{k}</math> .