%0 Journal Article %1 noauthororeditor %A Denier, James P. %D 1992 %J IMA Journal of Applied Mathematics %K 76d05-incompressible-navier-stokes-equations 76u05-rotating-fluids %N 1 %P 15-33 %R 10.1093/imamat/49.1.15 %T The structure of fully nonlinear Taylor vortices %U https://academic.oup.com/imamat/article-abstract/49/1/15/876566?redirectedFrom=fulltext %V 49 %X The structure of nonlinear short-wavelength Taylor vortices in the flow between rotating concentric cylinders is considered. In the short-wavelength limit, the nonlinear vortex motion is governed by a mean-flow-first-harmonic interaction problem. The initial structure of the nonlinear vortex state is shown to be governed by a multilayer structure in which the vortex is constrained to lie between the inner cylinder and a position internal to the flow regime. This position is dependent upon the Taylor number and it is found that there is a critical value of the Taylor number at which the vortex first impinges on the outer boundary. The vortex field then develops a double boundary layer structure at both the inner and outer boundary as the Taylor number is increased past this critical Taylor number.

@article{noauthororeditor, abstract = {The structure of nonlinear short-wavelength Taylor vortices in the flow between rotating concentric cylinders is considered. In the short-wavelength limit, the nonlinear vortex motion is governed by a mean-flow-first-harmonic interaction problem. The initial structure of the nonlinear vortex state is shown to be governed by a multilayer structure in which the vortex is constrained to lie between the inner cylinder and a position internal to the flow regime. This position is dependent upon the Taylor number and it is found that there is a critical value of the Taylor number at which the vortex first impinges on the outer boundary. The vortex field then develops a double boundary layer structure at both the inner and outer boundary as the Taylor number is increased past this critical Taylor number.}, added-at = {2019-11-22T23:44:03.000+0100}, author = {Denier, James P.}, biburl = {https://www.bibsonomy.org/bibtex/266ffe051440d555a23816b6997b8a7d4/gdmcbain}, description = {structure of fully nonlinear Taylor vortices | IMA Journal of Applied Mathematics | Oxford Academic}, doi = {10.1093/imamat/49.1.15}, interhash = {a57fe5df2ebf5cf0fc3375345bfe3f1c}, intrahash = {66ffe051440d555a23816b6997b8a7d4}, journal = {IMA Journal of Applied Mathematics}, keywords = {76d05-incompressible-navier-stokes-equations 76u05-rotating-fluids}, number = 1, pages = {15-33}, timestamp = {2019-11-22T23:44:03.000+0100}, title = {The structure of fully nonlinear Taylor vortices}, url = {https://academic.oup.com/imamat/article-abstract/49/1/15/876566?redirectedFrom=fulltext}, volume = 49, year = 1992 }