Evolution of Rayleigh-Taylor instability at the interface between a granular suspension and a clear fluid

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dc.contributor.authorGuo, Junwei
dc.contributor.authorZhou, Qi
dc.contributor.authorWong, Ron C.-K.
dc.date.accessioned2022-06-21T19:27:14Z
dc.date.available2022-06-21T19:27:14Z
dc.date.issued2022-06-19
dc.description.abstractWe report the characteristics of Rayleigh-Taylor instabilities (RTI) occurring at the interface between a suspension of granular particles and a clear fluid. The time evolution of these instabilities is studied numerically using coupled lattice Boltzmann and discrete element methods with a focus on the overall growth rate (σ) of the instabilities and their average wave number (k). Special attention is paid to the effects of two parameters, the solid fraction (0.10{less than or equal to}φ{less than or equal to}0.40) of the granular suspension and the solid-to-fluid density ratio (1.5{less than or equal to}R{less than or equal to}2.7). Perturbations at the interface are observed to undergo a period of linear growth, the duration of which decreases with φ and scales with the particle shear time d/w∞, where d is the particle diameter and w∞ is the terminal velocity. For φ>0.10, the transition from linear to nonlinear growth occurs when the characteristic steepness of the perturbations is around 29%. At this transition, the average wave number is approximately 0.67d-1 for φ>0.10 and appears independent of R. For a given φ, the growth rate is found to be inversely proportional to the particle shear time, i.e., σ ∝(d/w∞)-1; at a given R, σ increases monotonically with φ, largely consistent with a linear stability analysis (LSA) in which the granular suspension is approximated as a continuum. These results reveal the relevance of the time scale d/w∞ to the evolution of interfacial granular RTI, highlight the various effects of φ and R on these instabilities, and demonstrate modest applicability of the continuum-based LSA for the particle-laden problem.en_US
dc.description.grantingagencyNatural Sciences and Engineering Research Council (NSERC)en_US
dc.identifier.citationJunwei Guo , Qi Zhou , and Ron C.-K. Wong , "Evolution of Rayleigh-Taylor instability at the interface between a granular suspension and a clear fluid", Physics of Fluids (in press) (2022); https://doi.org/10.1063/5.0099935en_US
dc.identifier.doihttp://dx.doi.org/10.1063/5.0099935en_US
dc.identifier.urihttp://hdl.handle.net/1880/114764
dc.language.isoengen_US
dc.publisherAmerican Institute of Physicsen_US
dc.publisher.departmentCivil Engineeringen_US
dc.publisher.facultySchulich School of Engineeringen_US
dc.publisher.hasversionacceptedVersionen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.publisher.policyhttps://publishing.aip.org/resources/researchers/rights-and-permissions/sharing-content-online/en_US
dc.rightsUnless otherwise indicated, this material is protected by copyright and has been made available with authorization from the copyright owner. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.titleEvolution of Rayleigh-Taylor instability at the interface between a granular suspension and a clear fluiden_US
dc.typejournal articleen_US
ucalgary.item.requestcopyfalseen_US
ucalgary.scholar.levelFacultyen_US
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