InterPore2021

Rheology of a mixture of compressible and incompressible immiscible fluids in the capillary fiber bundle model

2 Jun 2021, 10:00

1h

Poster (+) Presentation (MS9) Pore-scale modelling Poster +

Speaker

Ms Hyejeong Cheon (PoreLab)

Description

When capillary and viscous forces compete, there is experimental evidence for the flow velocity to depend on the pressure gradient to a power between 1.5 and 2 [1]. Some of these experiments are done with both immiscible fluids being incompressible, and some are done with one of the fluids being compressible and the other being incompressible. On the other hand, the theory that has been presented on this phenomenon has assumed that the fluids being incompressible [2]. We present here a numerical and analytical investigation of the flow velocity vs. pressure drop in a capillary fiber bundle model filled with two immiscible fluids, one of which is compressible.

References

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[2] Sinha, S. and Hansen, A., EPL, 99, 44004 (2012); Roy, S., Hansen, A. and Sinha, S., Front. Phys. 7, 92 (2020).