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dc.contributor.advisorPandit, Rahul
dc.contributor.authorMitra, Dhrubaditya
dc.date.accessioned2005-06-17T06:16:46Z
dc.date.accessioned2018-07-31T06:20:43Z
dc.date.available2005-06-17T06:16:46Z
dc.date.available2018-07-31T06:20:43Z
dc.date.issued2005-06-17T06:16:46Z
dc.date.submitted2004
dc.identifier.urihttp://etd.iisc.ac.in/handle/2005/122
dc.identifier.srnonull
dc.description.abstractThe physics of turbulence is the study of the chaotic and irregular behaviour in driven fluids. It is ubiquitous in cosmic, terrestrial and laboratory environments. To describe the properties of a simple incompressible fluid it is sufficient to know its velocity at all points in space and as a function of time. The equation of motion for the velocity of such a fluid is the incompressible Navier–Stokes equation. In more complicated cases, for example if the temperature of the fluid also fluctuates in space and time, the Navier–Stokes equation must be supplemented by additional equations. Incompressible fluid turbulence is the study of solutions of the Navier–Stokes equation at very high Reynolds numbers, Re, the dimensionless control parameter for this problem. The chaotic nature of these solutions leads us to characterise them by their statistical properties. For example, statistical properties of fluid turbulence are characterised often by structure functions of velocity. For intermediate range of length scales, that is the inertial range, these structure functions show multiscaling. Most studies concentrate on equal-time structure functions which describe the equal-time statistical properties of the turbulent fluid. Dynamic properties can be measured by more general time-dependent structure functions. A major challenge in the field of fluid turbulence is to understand the multiscaling properties of both the equal-time and time-dependent structure functions of velocity starting from the Navier–Stokes equation. In this thesis we use numerical and analytical techniques to study scaling and multiscaling of equal-time and time-dependent structure functions in turbulence not only in fluids but also in advection of passive-scalars and passive vectors, and in randomly forced Burgers equation.en
dc.description.sponsorshipCSIR (INDIA), IFCPARen
dc.description.noteTypeset in LATEX by the authoren
dc.format.extent2018374 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherIndian Institute of Scienceen
dc.rightsI grant Indian Institute of Science the right to archive and to make available my thesis or dissertation in whole or in part in all forms of media, now hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation.en
dc.subject.classificationPhysicsen
dc.subject.keywordTurbulenceen
dc.subject.keywordFluid dynamicsen
dc.subject.keywordDynamic Multiscalingen
dc.subject.keywordQuasi-Lagrangianen
dc.subject.keywordDNSen
dc.subject.keywordBurgers Equationen
dc.titleStudies of Static and Dynamic Multiscaling in Turbulenceen
dc.typeElectronic Thesis and Dissertationen
dc.degree.namePhDen
dc.degree.levelDoctoralen
dc.degree.grantorIndian Institute of Scienceen
dc.degree.disciplineFaculty of Scienceen


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