User:Readro/Aero definitions

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[edit] Basic definitions

p = ρRT

U_{\infty}=M_{\infty}a=M_{\infty} \sqrt{\gamma R T}

Re = \frac{\rho U_{\infty} L}{\mu}

[edit] Total Temperature

T_{0}=T+\frac{u^2}{C_{p}}

T_0 = T \left( 1 + \frac{\gamma -1}{2} M_{\infty}^2 \right)

[edit] y+

y^+ = \frac{\rho y u^*}{\mu}

u^* = \sqrt{\frac{\tau_w}{\rho}}

\tau_w = \frac{1}{2} C_f \rho u^2

[edit] For a flat plate

C_f = 0.027 Re^{- \frac{1}{7}} \bar c

\delta = 0.14 Re^{- \frac{1}{7}} \bar c

where c is the M.A.C.

[edit] Sutherland's Law

 \frac{\mu}{\mu_{0}} = \left( \frac{T}{T_0} \right)^{\frac{3}{2}} \frac{T_0 + 110}{T + 110}