Abstract

Flow processes that involve the displacement of a viscous fluid by a less viscous one often lead to a hydrodynamic instability known as viscous fingering. In this study the viscous fingering instability for anisotropic dispersive flows will be addressed. In order to understand the physics of the flow displacement, the basic equations of conservation of mass and momentum are solved for a two-dimensional porous medium. The linear stability of the flow is analyzed first. The flow is then modeled numerically using a highly accurate spectral method based on the Hartley transformation. The streamfunction and concentration fields are tracked using an iteration process for two dimensional flows in every time-step. In this study, different types of anisotropic dispersions are considered and their effects on finger patterns are examined. We will present physical discussion of how medium dispersivity affects hydrodynamics and could result in interesting instability schemes.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.