Skin Friction and Stanton Number
Laminar and turbulent skin friction coefficient (\(c_f\)) and Stanton number (\(C_h\)) estimates for compressible boundary layers.
The skin-friction coefficient is defined as:
\[
c_f \equiv \frac{\tau_w}{\tfrac{1}{2}\rho_e U_e^2},
\]
with \(\tau_w\) being the wall shear stress,
\[
\tau_w = \mu_w\left.\frac{\partial u}{\partial y}\right|_w
\]
The Stanton number is defined as:
\[
C_h \equiv \frac{q_w}{\rho_e U_e c_p\,(T_r - T_w)},
\]
with \(q_w\) being the wall heat flux, commonly written as
\[
q_w = -k\left.\frac{\partial T}{\partial y}\right|_w.
\]
Mode and Method Theory Map
Laminar Estimates
| Method | Theory page |
|---|---|
blasius |
Blasius Laminar Method |
eckert_reference |
Eckert Reference-Temperature Method |
similarity |
Similarity Method |
Turbulent Estimates
| Method | Theory page |
|---|---|
van_driest_ii |
van Driest II Method |
spalding_chi |
Spalding-Chi (1964) Method |
sommer_short |
Sommer-Short Method |
white_christoph |
White-Christoph Method |