Davis and Raymond |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} = \frac{{\tau_{{\rm{o}},{\rm{\sigma
'}}}{{\rm{c}}_{\rm{v}}}}}{{{\rm{H}}_{\rm{o}}^2}} \;\;\;\; {{\rm{\pi }}_2} = \frac{{{{{\rm{\sigma '}}}_{\rm{f}}}{\rm{\;}}}}{{{{{\rm{\sigma
'}}}_{\rm{o}}}}}
\end{array}$ |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} =
\frac{{\tau_{{\rm{o}},{\rm{s}}}{{\rm{c}}_{\rm{v}}}}}{{{\rm{H}}_{\rm{o}}^2}}
\end{array}$ |
Davis and Raymond 1+e ≠ constant cv constant dz constant and dz ≠ constant |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} = \frac{{\tau_{{\rm{o}},{\rm{\sigma '}}}{{\rm{c}}_{\rm{v}}}\left(
{1 + {{\rm{e}}_{\rm{o}}}} \right)}}{{{\rm{H}}_{\rm{o}}^2}}\hspace{15pt}
{{\rm{\pi }}_2} = \frac{{{{{\rm{\sigma '}}}_{\rm{f}}}}}{{{{{\rm{\sigma
'}}}_{\rm{o}}}}}{\rm{\;}}{{\rm{\pi }}_3} = \frac{{{{\rm{I}}_{\rm{c}}}}}{{1 +
{{\rm{e}}_{\rm{o}}}}}
\end{array}$ |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} = \frac{{\tau_{{\rm{o}},{\rm{s}}}{{\rm{c}}_{\rm{v}}}\left( {1 +
{{\rm{e}}_{\rm{o}}}} \right)}}{{{\rm{H}}_{\rm{o}}^2}}{{\rm{\pi }}_2} =
\frac{{{{\rm{H}}_{\rm{f}}}}}{{{{\rm{H}}_{\rm{o}}}}}
\end{array}$ |
Davis and Raymond 1+e ≠ constant cv ≠ constant dz constant |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} = \frac{{\tau_{{\rm{o}},{\rm{\sigma
'}}}{{\rm{c}}_{{\rm{vo}}}}\left( {1 + {{\rm{e}}_{\rm{o}}}}
\right)}}{{{\rm{H}}_{\rm{o}}^2}}\hspace{15pt} {{\rm{\pi }}_2} =
\frac{{{{{\rm{\sigma '}}}_{\rm{f}}}}}{{{{{\rm{\sigma
'}}}_{\rm{o}}}}}{\rm{\;}}{{\rm{\pi }}_3} = \frac{{{{\rm{I}}_{\rm{c}}}}}{{1 +
{{\rm{e}}_{\rm{o}}}}}
\end{array}$ |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} = \frac{{\tau_{{\rm{o}},{\rm{s}}}{{\rm{c}}_{{\rm{vo}}}}\left( {1 +
{{\rm{e}}_{\rm{o}}}} \right)}}{{{\rm{H}}_{\rm{o}}^2}}\;\;\;{{\rm{\pi }}_2} = \frac{{{{\rm{H}}_{\rm{f}}}}}{{{{\rm{H}}_{\rm{o}}}}}
\end{array}$ |
Davis and Raymond 1+e ≠ constant cv ≠ constant dz ≠ constant |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} = \frac{{\tau_{{\rm{o}},{\rm{\sigma
'}}}{{\rm{c}}_{{\rm{vo}}}}\left( {1 + {{\rm{e}}_{\rm{o}}}}
\right)}}{{{\rm{H}}_{\rm{o}}^2}}\hspace{15pt}
{{\rm{\pi }}_2} = \frac{{{{{\rm{\sigma '}}}_{\rm{f}}}}}{{{{{\rm{\sigma
'}}}_{\rm{o}}}}}
\end{array}$ |
$\begin{array}{}
\displaystyle
{{\rm{\pi }}_1} = \frac{{\tau_{{\rm{o}},{\rm{s}}}{{\rm{c}}_{{\rm{vo}}}}\left( {1 +
{{\rm{e}}_{\rm{o}}}} \right)}}{{{\rm{H}}_{\rm{o}}^2}}
\end{array}$ |