Correction to: Scientific Reports https://doi.org/10.1038/s41598-021-83065-8, published online 16 February 2021


The original version of this Article contained errors.


In the Materials and Methods section under the subheading ‘Experimental microfluidic setup’,


“As shown in Figure 1a, the micromodel consists of a central rectangular area 6 mm long and 4 mm wide and two flow channels (inlet and outlet) both 13 mm long and 500 μm wide.”


now reads:


“As shown in Fig. 1 (top), the micromodel consists of a central rectangular area 6 mm long and 4 mm wide and two flow channels (inlet and outlet) both 13 mm long and 500 μm wide.”


“The entire micromodel is 115 μm deep and the rectangular central area contains 76 non-overlapping cylindrical pillars (that appear as circles in Figure 1b with diameters selected from a random size distribution in the range of 275 and 575 μm (average diameter of 380 μm), as shown in Fig. 1c.”


now reads:


“The entire micromodel is 115 μm deep and the rectangular central area contains 76 non-overlapping cylindrical pillars (that appear as circles in Fig. 1 (left) with diameters selected from a random size distribution in the range of 275 and 575 μm (average diameter of 380 μm), as shown in Fig. 1 (right).”


Additionally, in the Materials and Methods section under the subheading ‘Immiscible flow in a single capillary at low Ca values’,

$$ \frac{{Ca_{w} }}{\xi } \ll 1\; then \frac{{\Delta P\left( {S_{w} } \right)}}{{\Delta P_{c} }} = 4 \frac{{Ca_{w} }}{\xi }\left( {\frac{{\mu_{o} - \mu_{o} }}{{\mu_{o} }}S_{w} + \frac{{\mu_{o} }}{{\mu_{o} }}} \right) $$

now reads:

$$ \frac{{Ca_{w} }}{\xi } \gg 1\; then \frac{{\Delta P\left( {S_{w} } \right)}}{{\Delta P_{c} }} = 4 \frac{{Ca_{w} }}{\xi }\left( {\frac{{\mu_{o} - \mu_{o} }}{{\mu_{o} }}S_{w} + \frac{{\mu_{o} }}{{\mu_{o} }}} \right) $$

The original Article has been corrected.