Difference between revisions of "User:Tohline/Math/EQ PressureTotal01"

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(Create "dimensionless total pressure" expression)
 
m (Modify expression to save space; and insert values of coupling constants)
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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, &nbsp; &nbsp; <math>T_0 \equiv \frac{m_e c^2}{k}</math> .
where, &nbsp; &nbsp; <math>T_0 \equiv \frac{m_e c^2}{k}</math> .

Revision as of 20:15, 26 February 2010

LSU Key.png

<math>p_\mathrm{total} \equiv \frac{P_\mathrm{gas} + P_\mathrm{deg} + P_\mathrm{rad}}{A_\mathrm{F}} = 8 \chi^3 \frac{T}{T_0} + F(\chi) + \frac{8\pi^4}{15} \biggl( \frac{T}{T_0} \biggr)^4</math>

where,     <math>T_0 \equiv \frac{m_e c^2}{k}</math> .

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