Difference between revisions of "User:Tohline/PGE"

From VistrailsWiki
Jump to navigation Jump to search
(Insert key links at bottom of page)
(Transfering opening text from old H_Book)
Line 4: Line 4:


==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>


<div align="center">
<div align="center">

Revision as of 04:07, 18 January 2010

H Book title.gif


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>



Home |