Objective
Pressure-driven fluid flow through a circular pipe has for a long time been the intriguing stability problem in fluid mechanics. Ever since the original experiments of Reynolds (1883), it has been known that the steady laminar flow observed at low flow rates can undergo transition to turbulence when disturbed sufficiently strongly at high enough flow rates. Despite numerous numerical and theoretical investigations, an understanding of the transition mechanism remains far from complete. Very recently there has been a substantial breakthrough in this problem.
Two groups (Faisst and Eckhardt 2003, Wedin and Kerswell 2004) have discovered travelling wave solutions in pipe flow. These solutions, which have now been observed in the laboratory (Hof et al. 2004), are important because they provide for the first time a solid theoretical foundation on which the transitional dynamics can be explored. This proposal aims at finding the relevance of these newly discovered solutions to the transitional process, by first studying numerically their stability.
This study requires the writing of a direct numerical simulation code specific to cylindrical pipe flow. This numerical code will then be used to find the possible connections between these finite-amplitude solutions from a dynamical systems point of view, with attention focused on the search for periodic orbits of the system in phase space. This proposal is extremely timely as there is a strong confluence of research activity. The results should lay down the theoretic al foundation for a significant and immediate advancement in the understanding of this intriguing problem, which has wide application in industry and Nature.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2004-MOBILITY-5
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
BRISTOL
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.