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Mathematical verification for a novel Navier-Stokes representation

Mathematical verification for a novel Navier-Stokes representation
新颖的纳维-斯托克斯表示的数学验证
批准号:
EP/V058754/1
负责人:
Edmund Chadwick
金额:
$10.04万
依托单位:
依托单位国家:
英国
项目类别:
Research Grant
财政年份:
2022
资助国家:
英国
项目状态:
已结题
起止时间:
2022 至 --

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中文摘要
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英文摘要
A novel and exciting new way of representing the way a fluid moves has recently been published by the proposer. This is governed by a set of equations called the Navier-Stokes equations, and the solution to the Navier-Stokes equations is very difficult to obtain and listed as one of the millennium problems, which are the mathematical challenges of our time. This new representation suggests a straightforward way to solve the Navier-Stokes equations, and in the published paper the Blasius problem was solved using this technique, which describes the flow in a layer adjacent to the boundary. This solution is a simple classical problem given first by Blasius, so the proposed research here is to provide a challenging benchmark for the new method which will be a litmus test for verifying mathematically the novel approach. The proposed benchmark is uniform flow past a finite flat plate which is has a much more complex structure that the Blasius problem, and so is a much more challenging problem to solve.
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Experimental tests to validate a new slender body theory in steady, incompressible Oseen flow.
  • 批准号:
    EP/G009309/1
  • 项目类别:
    Research Grant
  • 资助金额:
    $0.82万
  • 财政年份:
    2009
  • 负责人:
    Edmund Chadwick
  • 依托单位:
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