next up previous
Next: 3.1 Relationships for Small Up: Free textbook pdf Fundamentals Previous: 2.5 Sound Speed in


3 Isentropic Flow

$\displaystyle {P_0 \over P } = \left( { T_0 \over T} \right) ^ {k \over k -1} = \left( 1 + { k -1 \over 2 } M^{2} \right)^ {k \over k -1}$ (12)

$\displaystyle {\rho_0 \over \rho } = \left( { T_0 \over T} \right) ^ {1 \over k -1} = \left( 1 + { k -1 \over 2 } M^{2} \right)^ {1 \over k -1}$ (13)

The star values

$\displaystyle {T^{*} \over T_0} = {{c^{*}}^2 \over {c_0}^2} = {2 \over k+1}$ (14)

$\displaystyle {P^{*} \over P_0} = \left(2 \over k+1 \right)^{k \over k-1}$ (15)

$\displaystyle {\rho^{*} \over \rho_0} = \left(2 \over k+1 \right)^{1 \over k-1}$ (16)



Subsections

Genick Bar-Meir ||| www.potto.org
copyright Dec , 2006

The pdf version is also available here