{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1363388844184712704.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1098/rspa.1954.0186"}},{"identifier":{"@type":"URI","@value":"https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1954.0186"}},{"identifier":{"@type":"URI","@value":"https://royalsocietypublishing.org/rspa/article-pdf/225/1160/49/48449/rspa.1954.0186.pdf"}}],"dc:title":[{"@value":"Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>Abstract</jats:title>\n                  <jats:p>Dispersions of solid spherical grains of diameter D = 0.13cm were sheared in Newtonian fluids of varying viscosity (water and a glycerine-water-alcohol mixture) in the annular space between two concentric drums. The density σ of the grains was balanced against the density ρ of the fluid, giving a condition of no differential forces due to radial acceleration. The volume concentration C of the grains was varied between 62 and 13 %. A substantial radial dispersive pressure was found to be exerted between the grains. This was measured as an increase of static pressure in the inner stationary drum which had a deformable periphery. The torque on the inner drum was also measured. The dispersive pressure P was found to be proportional to a shear stress λ attributable to the presence of the grains. The linear grain concentration λ is defined as the ratio grain diameter/mean free dispersion distance and is related to C by λ=1(C0/C)12−1 where C0 is the maximum possible static volume concentration. Both the stressesT and P, as dimensionless groups TσD2/λη2, and PσD2/λη 2, were found to bear single-valued empirical relations to a dimensionless shear strain group λ½σD2(dU/dy)lη for all the values of λ&lt; 12(C= 57% approx.) where dU/dy is the rate of shearing of the grains over one another, and η the fluid viscosity. This relation gives Tασ(λD)2(dU/dy)2 and T∝λ12ηdU/dy according as dU/dy is large or small, i.e. according to whether grain inertia or fluid viscosity dominate. An alternative semi-empirical relation F = (1+λ)(1+½λ)ηdU/dy was found for the viscous case, when T is the whole shear stress. The ratio T/P was constant at 0·3 approx, in the inertia region, and at 0.75 approx, in the viscous region. The results are applied to a few hitherto unexplained natural phenomena.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380869858805313664","@type":"Researcher","foaf:name":[{"@value":"Ralph Alger Bagnold"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00804630"},{"@type":"EISSN","@value":"20539169"},{"@type":"PISSN","@value":"https://id.crossref.org/issn/13645021"}],"prism:publicationName":[{"@value":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences"}],"dc:publisher":[{"@value":"The Royal Society"}],"prism:publicationDate":"1954-08-06","prism:volume":"225","prism:number":"1160","prism:startingPage":"49","prism:endingPage":"63"},"reviewed":"false","dc:rights":["https://royalsociety.org/journals/ethics-policies/data-sharing-mining/"],"url":[{"@id":"https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1954.0186"},{"@id":"https://royalsocietypublishing.org/rspa/article-pdf/225/1160/49/48449/rspa.1954.0186.pdf"}],"createdAt":"2006-12-15","modifiedAt":"2026-01-03","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050001202542012800","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"High-velocity frictional properties of clay-rich fault gouge in a megasplay fault zone Nankai subduction zone"},{"@value":"High‐velocity frictional properties of clay‐rich fault gouge in a megasplay fault zone, Nankai 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