"Hasal, Pavel" . "10"^^ . . . "1864" . . "Macro-instability: a chaotic flow component in stirred tanks"@en . . . "Makro-nestabilita: chotick\u00E1 slo\u017Eka toku kapaliny v m\u00EDchac\u00EDch n\u00E1dob\u00E1ch"@cs . "Chaotic features of the macro-instability (MI) of flow patterns in stirred tanks are studied in this paper. Datasets obtained by measuring the axial component of the fluid velocity and the tangential force affecting the baffles are used. Two geometrically identical, flatbottomed cylindrical mixing tanks (diameter of 0.3 m) stirred with either pitched blade turbine impellers or Rushton turbine impeller are used in the experiments, and water and aqueous glycerol solutions are used as the working liquids. First, the presence of the MI component in the data is examined by spectral analysis. Then, the MI components are identified in the data using the proper orthogonal decomposition (POD) technique. The attractors of the macro-instability are reconstructed using either the POD eigenmodes or a method of delays and finally the attractor invariants are evaluated. The dependence of the correlation dimension and maximum Lyapunov exponent on the vessel operational conditions is determined together with their dis" . "377358" . . . . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . . . . "Jahoda, Milan" . "RIV/60461373:22340/08:00020786!RIV09-MSM-22340___" . "Jsou studov\u00E1ny chaotick\u00E9 aspekty makro-nestabilitn\u00EDch komponent toku kapaliny v m\u00EDchac\u00EDch n\u00E1dob\u00E1ch. Experiment\u00E1ln\u00ED data poch\u00E1zej\u00ED z cylindrick\u00FDch m\u00EDchac\u00EDch n\u00E1dob s ploch\u00FDm dnem prom\u00EDch\u00E1van\u00FDch bu\u010Fto lopatkov\u00FDm nebo turbinov\u00FDm m\u00EDchadlem. Jsou pou\u017Eita data r\u016Fzn\u00E9 fyzik\u00E1ln\u00ED podstaty ? rychlostn\u00ED data a s\u00EDly p\u016Fsob\u00EDc\u00ED na nar\u00E1\u017Eky. Jsou rekonstruov\u00E1ny chaotick\u00E9 atraktory makro-nestabilitn\u00EDch slo\u017Eek dat a ur\u010Deny hodnoty jejich chaotick\u00FDch invariant\u016F v z\u00E1vislosti na geometrick\u00FDch a provozn\u00EDch parametrech m\u00EDchac\u00ED n\u00E1doby."@cs . . "2"^^ . "1364-503X" . . . "366" . . . "Macro-instability: a chaotic flow component in stirred tanks"@en . "Makro-nestabilita: chotick\u00E1 slo\u017Eka toku kapaliny v m\u00EDchac\u00EDch n\u00E1dob\u00E1ch"@cs . "3"^^ . "[38240F579992]" . "000251927300009" . "22340" . "Philosophical Transactions of Royal Society A" . . "RIV/60461373:22340/08:00020786" . "Chaotic features of the macro-instability (MI) of flow patterns in stirred tanks are studied in this paper. Datasets obtained by measuring the axial component of the fluid velocity and the tangential force affecting the baffles are used. Two geometrically identical, flatbottomed cylindrical mixing tanks (diameter of 0.3 m) stirred with either pitched blade turbine impellers or Rushton turbine impeller are used in the experiments, and water and aqueous glycerol solutions are used as the working liquids. First, the presence of the MI component in the data is examined by spectral analysis. Then, the MI components are identified in the data using the proper orthogonal decomposition (POD) technique. The attractors of the macro-instability are reconstructed using either the POD eigenmodes or a method of delays and finally the attractor invariants are evaluated. The dependence of the correlation dimension and maximum Lyapunov exponent on the vessel operational conditions is determined together with their dis"@en . "P(GA104/05/2500), Z(MSM6046137306)" . "stirred tank; macro-instability; chaos; attractor; correlation dimension; Lyapunov exponent"@en . "Macro-instability: a chaotic flow component in stirred tanks" . . . "Macro-instability: a chaotic flow component in stirred tanks" . . "Fo\u0159t, I." .