Analysis of flow structures and energy spectra in chemical process equipment

References

• Lumley , J. L. The structure of inhomogeneous turbulent flows . Proceedings of the International Colloquium on the Fine Scale Structure of the Atmosphere and its Influence on Radio Wave Propagation . Edited by: Yaglom , A. M. and Tatarsky , V. I. pp. 166 – 178 . Moscow : Doklady Akademii Nauk SSR, Nauka .
   Google Scholar
• Antonia , R. A. 1981 . Conditional sampling in turbulence measurement . Annu. Rev. Fluid Mech. , 13 : 169 – 175 .
   Web of Science ®Google Scholar
• Hussain , F. 1983 . Coherent structures-reality and myth . Phys. Fluids , 26 : 2816 – 2850 .
   Web of Science ®Google Scholar
• Aubry , N. , Holmes , P. , Lumley , J. L. and Stone , E. 1988 . Dynamics of coherent structures in the wall region of a turbulent boundary layer . J. Fluid Mech. , 192 : 115 – 173 .
   Web of Science ®Google Scholar
• Adrian , R. J. and Moin , P. 1988 . Stochastic estimation of organized turbulent structure: Homogeneous shear flow . J. Fluid Mech. , 190 : 531 – 559 .
   Web of Science ®Google Scholar
• Glauser , M. N. and George , W. K. 1992 . Application of multipoint measurements for flow characterization . Exp. Therm. Fluid Sci. , 5 : 617 – 632 .
   Web of Science ®Google Scholar
• Berkooz , G. , Holmes , P. and Lumley , J. 1993 . The proper orthogonal decomposition in the analysis of turbulent flows . Annu. Rev. Fluid Mech. , 25 : 539 – 575 .
   Web of Science ®Google Scholar
• Kevlahan , N. K.R. , Hunt , J. R.C. and Vassilicos , J. A comparison of different analytical techniques for identifying structures in turbulence. in Eddy Structure Identification in Free Turbulent Shear Flows . Proceeding IUTAM Symp-Poitiers October . Edited by: Bonnet , J. P. and Glauser , M. N. pp. 311 – 324 . Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Bonnet , J. P. 1998 . Collaborative testing of eddy structure identification methods in free turbulent shear flows . Exp. Fluids , 25 : 197 – 225 .
   Web of Science ®Google Scholar
• Bonnet , J. P. and Delville , J. 2001 . Review of coherent structures in turbulent free shear flows and their possible influence on computational methods . Flow, Turb. Combust. , 66 : 333 – 353 .
   Web of Science ®Google Scholar
• Joshi , J. B. , Vitankar , V. S. , Kulkarni , A. A. , Dhotre , M. T. and Ekambara , K. 2002 . Coherent flow structures in bubble column reactors . Chem. Eng. Sci. , 57 : 3157 – 3183 .
   Web of Science ®Google Scholar
• Kailas , S. V. and Narasimha , R. 1999 . The eduction of structures from flow imagery using wavelets, Part I: The mixing layer . Exp. Fluids , 27 : 167 – 174 .
   Web of Science ®Google Scholar
• Basu , A. J. and Narasimha , R. 1999 . Direct numerical simulation of turbulent flows with cloud like off-source heating . J. Fluid Mech. , 385 : 199 – 228 .
   Web of Science ®Google Scholar
• Saxena , V. , Kailas , S. V. and Narasimha , R. 2002 . Coherent structures in plumes with and without off-source heating using wavelet analysis of flow imagery . Exp. Fluids , 33 : 196 – 201 .
   Web of Science ®Google Scholar
• Siddhartha , S. S. , Narasimha , R. , Basu , A. J. and Kailas , S. V. 2000 . Coherent structures in numerically simulated jets with and without off-source heating . Fluid Dyn. Res. , 26 : 105 – 117 .
   Web of Science ®Google Scholar
• Srinivas , A. , Bhat , G. S. and Narasimha , R. 2007 . Dynamic eduction of coherent structures in turbulent jet flow imagery by wavelet techniques: Part I . J. Turb. , 8 : 1 – 14 .
   Web of Science ®Google Scholar
• Tabib , M. V. and Joshi , J. B. 2008 . Analysis of dominant flow structures and their flow dynamics in chemical process equipment using snapshot proper orthogonal decomposition technique . Chem. Eng. Sci. , 63 : 3695 – 3715 .
   Web of Science ®Google Scholar
• Deshpande , S. S. , Joshi , J. B. , Ravi Kumar , V. and Kulkarni , B. D. 2008 . Identification and characterization of flow structures in chemical process equipment using multiresolution techniques . Chem. Eng. Sci. , 63 : 5330 – 5346 .
   Web of Science ®Google Scholar
• Hinze , J. 1973 . Turbulence , New York : McGraw-Hill .
   Google Scholar
• Frisch , U. 1994 . Turbulence: The Legacy of A. N. Kolmogorov , Cambridge : Cambridge University Press .
   Google Scholar
• Kraichnan , R. 1974 . On Kolmogorov's Inertial Range Theories . J. Fluid Mech. , 62 : 305 – 330 .
   Web of Science ®Google Scholar
• Borgas , M. 1992 . A comparison of intermittency models in turbulence . Phys. Fluids A , 4 ( 9 ) : 2055 – 2061 .
   Google Scholar
• Rodi , W. 1995 . Turbulence models and their applications in hydraulics: A state of the art review , Delft, The Netherlands : Int. Assoc. Hydraulic Res. Publ. .
   Google Scholar
• Dihn , T. N. , Bui , V. A. , Nourgaliev , R. R. , Green , J. A. and Sehgal , B. R. 1999 . Experimental and analytical studies of melt jet-coolant interactions: A synthesis . Nucl. Eng. Des. , 189 : 299 – 327 .
   Web of Science ®Google Scholar
• Oldshue , J. Y. 1983 . Fluid Mixing Technology , New York : McGraw-Hill Pub. Co. .
   Google Scholar
• Simon , M. and Fonade , C. 1993 . Experimental study of mixing performances using steady and unsteady jets . Can. J. Chem. Eng. , 71 : 507 – 513 .
   Web of Science ®Google Scholar
• Forney , L. J. and Nafia , N. 2000 . Eddy contact model: CFD simulations of liquid reactions in nearly homogeneous turbulence . Chem. Eng. Sci. , 55 : 6049 – 6058 .
   Web of Science ®Google Scholar
• Baldyga , J. , Bourne , J. R. and Zimmermann , B. 1994 . Investigation of mixing in jet reactors using fast competitive-consecutive reactions . Chem. Eng. Sci. , 49 : 1937 – 1946 .
   Web of Science ®Google Scholar
• Mathpati , C. S. , Deshpande , S. S. and Joshi , J. B. 2009 . Computational and experimental fluid dynamics of jet loop reactor . AIChE J. , 55 : 2526 – 2544 .
   Web of Science ®Google Scholar
• Mathpati , C. S. and Joshi , J. B. 2007 . Insight into Theories of Heat and Mass Transfer at the Solid-Fluid Interface Using Direct Numerical Simulation and Large Eddy Simulation . Ind. Eng. Chem. Res., CAMURE , 46 : 8525 – 8557 . (Special Issue)
   Web of Science ®Google Scholar
• Shah , Y. , Kelkar , B. , Godbole , S. and Deckwer , W. 1982 . Design parameters estimations for bubble column reactors . A.I.Ch.E. J. , 28 ( 3 ) : 353 – 379 .
   Web of Science ®Google Scholar
• Doraiswamy , L. and Sharma , M. 1986 . Heterogeneous Reactions , New York : J. Wiley .
   Google Scholar
• Deckwer , W. 1992 . Bubble Column Reactors , New York : J. Wiley and Sons .
   Google Scholar
• Deshpande , S. S. , Sathe , M. J. and Joshi , J. B. 2009 . Evaluation of local turbulent energy dissipation rate using PIV in jet loop reactor . Ind. Eng. Chem. Res. , 48 : 5046 – 5057 .
   Web of Science ®Google Scholar
• Bruun , H. H. 1996 . Hot wire anemometry: Principles and signal analysis , Oxford : Oxford University Press .
   Google Scholar
• Cooley , J. W. and Tukey , J. W. 1965 . An algorithm for the machine calculation of complex Fourier series . Math. Comput. , 19 : 297 – 301 .
   Web of Science ®Google Scholar
• Holmes , P. , Lumley , J. L. and Berkooz , G. 1996 . Turbulence coherent structures, dynamical systems and symmetry , Cambridge : Cambridge University Press .
   Google Scholar
• Pope , S. B. 2000 . Turbulent Flows , Cambridge : Cambridge University Press .
   Google Scholar
• Roy , M. , Ravi Kumar , V. , Kulkarni , B. D. , Sanderson , J. , Rhodes , M. and Stappen , M. V. 1999 . Simple denoising algorithm using wavelet transform . AIChE J. , 45 : 2461 – 2466 .
   Web of Science ®Google Scholar
• Addison , P. S. 2002 . The illustrated wavelet transform handbook: Introductory theory and applications in science, engineering, medicide and finance , New York : Taylor and Francis .
   Google Scholar
• Lau , K. M. and Wang , H. 1995 . Climate signal detection using wavelet transform: How to make time series sing . Bull. Am. Meteorol. Soc. , 76 : 2391 – 2402 .
   Web of Science ®Google Scholar
• Lau , K. M. and Wang , H. 1995 . Climate signal detection using wavelet transform: How to make time series sing . Bull. Am. Meteorol. Soc. , : 2391 – 2402 .
   Web of Science ®Google Scholar
• Deshpande , S. S. , Mathpati , C. S. , Gulawani , S. , Joshi , J. B. and Ravi Kumar , V. 2009 . Effect of flow structures on heat transfer in single and multiphase jet reactors . Ind. Eng. Chem. Res. , 48 : 9428 – 9440 .
   Web of Science ®Google Scholar
• Luk , S. and Lee , Y. 1986 . Mass transfer in eddies close to air-water interface . AIChE J. , 32 ( 9 ) : 1546 – 1555 .
   Google Scholar
• Kulkarni , A. A. and Joshi , J. B. 2004 . Simultaneous measurement of flow pattern and mass transfer coefficient in bubble columns . Chem. Eng. Sci. , 59 ( 2 ) : 271 – 281 .
   Google Scholar
• Sirovich , L. 1987 . Turbulence and the dynamics of coherent structures. Part I: Coherent structures . Quart. Appl. Math. , 45 : 561 – 571 .
   Web of Science ®Google Scholar
• Ghosh , A. , Ravi Kumar , V. and Kulkarni , B. D. 2001 . Parameter estimation in spatially extended systems: The Karnhunen-Loeve and Galerkin multiple shooting approach . Phys. Rev. E , 64 : 056222 – 1 .
   Web of Science ®Google Scholar
• Joshi , J. B. , Tabib , M. V. , Deshpande , S. S. and Mathpati , C. S. 2009 . Dynamics of flow structures and transport phenomena, 1. Experimental and numerical techniques for identification and energy content of flow structures . Ind. Eng. Chem. Res. , 48 : 8244 – 8284 .
   Web of Science ®Google Scholar
• Mathpati , C. S. , Tabib , M. V. , Deshpande , S. S. and Joshi , J. B. 2009 . Dynamics of flow structures and transport phenomena, 2. Relationship with design objectives and design optimization . Ind and. Eng. Chem. Res. , 48 : 8285 – 8311 .
   Web of Science ®Google Scholar
• Camussi , R. and Guj , G. 1997 . Orthonormal wavelet decomposition of turbulent flows: Intermittency and coherent structures . J. Fluid Mech. , 348 : 177
   Web of Science ®Google Scholar
• Kulkarni , A. A. , Joshi , J. B. , Ravi Kumar , V. and Kulkarni , B. D. 2001 . Identification of the principal time scales in bubble column by wavelet analysis . Chem. Eng. Sci. , 56 : 5739 – 5747 .
   Web of Science ®Google Scholar
• Sreenivasan , K. and Stolovitzky , G. 1995 . Turbulent cascades . J. Stat. Phys. , 78 ( 1/2 ) : 311 – 333 .
   Google Scholar
• Meneveau , C. and Sreenivasan , K. 1987 . Simple multifractal cascade model for fully developed turbulence . Phys. Rev. Lett. , 59 : 1424 – 1427 .
   PubMed Web of Science ®Google Scholar
• Chhabra , A. and Sreenivasan , K. 1992 . Scale-invariant multiplier distributions in turbulence . Phys. Rev. Lett. , 68 : 2762 – 2765 .
   PubMed Web of Science ®Google Scholar
• Tabib , M. V. , Roy , S. A. and Joshi , J. B. 2008 . CFD simulation of bubble column–An analysis of interphase forces and turbulence models . Chem. Eng. J. , 139 : 589 – 614 .
   Web of Science ®Google Scholar
• Kulkarni , A. A. and Joshi , J. B. 2005 . Measurement of eddy diffusivity in bubble column and validation based on the intermittency models . Chem. Eng. Sci. , 60 : 6146 – 6159 .
   Web of Science ®Google Scholar