*4.4. Local Density of Motile Microorganisms*

Sherwood number *Nnx* are stated as

$$N\_{nx} = \frac{xQ\_n}{D\_n(n\_w - n\_{\infty})} \tag{27}$$

$$\left.Q\_{\mathbb{R}} = -D\_{\mathbb{M}} n\_{\mathbb{Y}}\right|\_{y=0} \tag{28}$$

After simplification

$$\text{Re}\_{\text{x}}^{-1/2} \text{N} \mathbf{n}\_{\text{x}} = -\mathbf{h}'(\mathbf{0}) \tag{29}$$
