Erratum to: Capillary pumps with constant flow rate

1 Erratum to: Microfluid Nanofluid DOI 10.1007/s10404-014-1365-3

The original publication of the article contains errors which need to be amended as mentioned below:

• 1. In Eq. 6, the integral sign did not render properly. The equation should read:

  $$ R_{h} \left( x \right) = R_{0} + \int\limits_{0}^{x} {R\left( s \right)\cdot ds,} $$

  (6)

• 2. In Eq. 12, the subscript “h” in “R_h” was erroneously left out in the left hand term. The equation should read:

  $$ \frac{{dR_{h} \left( s \right)}}{ds} = \frac{1}{{Q_{0} }}.\frac{dP(s)}{ds}, $$

  (12)

• 3. In the second line underneath Eq. 28, the first reference to Eq. 27 is erroneous and should refer to Eq. 26 instead. The correct sentence should thus read:

  Eqs. 20, 23, 25 (alternatively 26) and 27 unambiguously describe the shape of a single channel with rectangular cross section that provides a constant flow rate when used as CP

• 4. Under section 5, right column, the first sentence includes an error in the choice of value for w_max. The corrected sentence should read:

One can choose the channel height and maximum width for each of these channels as h = h_max and w_max = h_max/2.