Difference between revisions of "User:Tohline/PGE"
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==Principal Governing Equations== | ==Principal Governing Equations== | ||
According to Landau and Lifshitz's (1975) eloquent discussion of the broad subject of ''Fluid Mechanics'', <FONT COLOR="#007700">the state of a moving fluid is determined by five quantities: the three components of the velocity</FONT> '''<math>\vec{v}</math>''' <FONT COLOR="#007700">and, for example, the pressure</FONT> <math>P</math> <FONT COLOR="#007700">and the density</FONT> <math> \rho </math> <FONT COLOR="#007700">.</FONT> For our discussions of astrophysical fluid systems throughout this Hypertext Book [H_Book], we will add to this the gravitational potential <math> \Phi </math>. <FONT COLOR="#007700">Accordingly, a complete system of equations of fluid dynamics should be</FONT> six <FONT COLOR="#007700">in number. For an ideal fluid these are:</FONT> | |||
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Revision as of 04:07, 18 January 2010
Principal Governing Equations
According to Landau and Lifshitz's (1975) eloquent discussion of the broad subject of Fluid Mechanics, the state of a moving fluid is determined by five quantities: the three components of the velocity <math>\vec{v}</math> and, for example, the pressure <math>P</math> and the density <math> \rho </math> . For our discussions of astrophysical fluid systems throughout this Hypertext Book [H_Book], we will add to this the gravitational potential <math> \Phi </math>. Accordingly, a complete system of equations of fluid dynamics should be six in number. For an ideal fluid these are:
<math>x \implies y</math>
<math>\frac{x^3}{5+6}</math>
<math>\int_{1}^{3}\frac{e^3/x}{x^2}\, dx</math>
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