CFD tools

$l_n$ and $l_{\mathrm{t}\mathrm{o}\mathrm{t}}$ from $l_1$, $n$ and $r$

$r$ and $l_{\mathrm{t}\mathrm{o}\mathrm{t}}$ from $l_1$, $n$ and $l_n$

First layer thickness $l_1$:
Number of surface layers $n$:
Expansion ratio $r$:

$$\begin{array}{r}{l}_n=l_1{r}^{n-1}\end{array}$$
$$\begin{array}{r}{l}_{\mathrm{t}\mathrm{o}\mathrm{t}}=\sum _{k=1}^n{l}_1{r}^{k-1}=\frac{l_1\left(r^n–1\right)}{r–1} \left(r\ne 1\right)\end{array}$$

Results:
Last layer thickness $l_n$ =

Total thickness $l_{\mathrm{t}\mathrm{o}\mathrm{t}}$ =

Freestream velocity $u$ in $\frac{\mathrm{m}}{\mathrm{s}}$:
Kinematic viscosity $\nu$ in $\frac{{\mathrm{m}}^2}{\mathrm{s}}$:
Boundary layer length $L$ in m:
Desired wall distance $y^{+}$:

$$Re=\frac{\rho ·u·L}{\mu }=\frac{u·L}{\nu }$$
$$y=\frac{y^{+}\mu }{\rho u_{*}}=\frac{y^{+}\nu }{u_{*}}$$ $$u_{*}=\sqrt{\frac{{\tau }_{\mathrm{w}}}{\rho }}$$ $${\tau }_{\mathrm{w}}=C_f·\frac{1}{2}\rho u^2$$ $$C_f={\left[2 {\log }_{10}\left(R{e}_x\right)-0.65\right]}^{-2.3}$$

Results:
$Re$ =

$d_1$ =

Rotational velocity $\omega$:

$$\omega =\frac{2\pi ·n}{60}$$

Results:
$\omega$ =