Velocity and geometry of propagating fronts in complex convective flow fields

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dc.contributor.authorMukherjee, Saikaten
dc.contributor.authorPaul, Mark R.en
dc.contributor.departmentMechanical Engineeringen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessioned2020-01-07T12:52:33Zen
dc.date.available2020-01-07T12:52:33Zen
dc.date.issued2019-01-22en
dc.description.abstractWe numerically study the propagation of reacting fronts through three-dimensional flow fields composed of convection rolls that include time-independent cellular flow, spatiotemporally chaotic flow, and weakly turbulent flow. We quantify the asymptotic front velocity and determine its scaling with system parameters including the local angle of the convection rolls relative to the direction of front propagation. For cellular flow fields, the orientation of the convection rolls has a significant effect upon the front velocity and the front geometry remains relatively smooth. However, for chaotic and weakly turbulent flow fields, the front velocity depends upon the geometric complexity of the wrinkled front interface and does not depend significantly upon the local orientation of the convection rolls. Using the box counting dimension we find that the front interface is fractal for chaotic and weakly turbulent flows with a dimension that increases with flow complexity.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.99.012213en
dc.identifier.issue1en
dc.identifier.urihttp://hdl.handle.net/10919/96307en
dc.identifier.volume99en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsCreative Commons CC0 1.0 Universal Public Domain Dedicationen
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/en
dc.titleVelocity and geometry of propagating fronts in complex convective flow fieldsen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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