Did I calculate the boundary layer thickness correctly?

[PhyIsOhSoHard]

Homework Statement

A flat plate moves in water (20°C) in the direction of the plate at a speed of 1 m/s. What is the boundary layer thickness 0.1 meter downstream of the plate?

Homework Equations

Reynolds number:
$Re_x=\frac{xU_∞}{\nu}$

Boundary layer thickness for laminar flow:
$\frac{\delta}{x}=\frac{5.0}{\sqrt{Re_x}}$

The Attempt at a Solution

Reynolds number is:
$Re_x=\frac{xU_∞}{\nu}=\frac{1m/s\cdot 0.1m}{9\cdot 10^{-7}}=1.1\cdot10^5$

Boundary layer thickness:
$\frac{\delta}{x}=\frac{5.0}{\sqrt{Re_x}}=\frac{5.0}{\sqrt{1.1\cdot10^5}}=0.015$

$\frac{\delta}{x}=0.015⇔$

$\delta=0.015\cdot 0.1m=0.0015m=1.5mm$

 

[PhyIsOhSoHard]

Anyone?