Corrigendum to: “Bubble dynamics in microchannels: inertial and capillary migration forces”. (English) Zbl 1415.76211
Summary: We have noticed a missing term in the linearisation of the differential contour vector, appearing in some of the expressions given in our recent paper [the authors, ibid. 842, 215–247 (2018; doi:10.1017/jfm.2018.78)]. Nevertheless, this term had been considered in the numerical simulations such that the results and conclusions of our paper are not affected. However, this corrigendum aims at clarifying the origin of this term and to provide the correct procedure for the linearisation.
MSC:
| 76D45 | Capillarity (surface tension) for incompressible viscous fluids |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
Keywords:
drops and bubbles; bubble dynamics; micro-fluid dynamics; nano-fluid dynamics; microfluidicsReferences:
| [1] | Batchelor, G. K., An Introduction to Fluid Dynamics, (1967), Cambridge University Press · Zbl 0152.44402 |
| [2] | Rivero-Rodriguez, J.; Scheid, B., Bubble dynamics in microchannels: inertial and capillary migration forces, J. Fluid Mech., 842, 215-247, (2018) · Zbl 1419.76197 · doi:10.1017/jfm.2018.78 |
| [3] | Stone, H. A., A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface, Phys. Fluids A, 2, 1, 111-112, (1990) · doi:10.1063/1.857686 |
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