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Details of Grant 

EPSRC Reference: EP/V058754/1
Title: Mathematical verification for a novel Navier-Stokes representation
Principal Investigator: Chadwick, Dr EA
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Science,Engineering & Environment
Organisation: University of Salford
Scheme: Standard Research - NR1
Starts: 01 January 2022 Ends: 31 October 2022 Value (£): 78,820
EPSRC Research Topic Classifications:
Mathematical Analysis Numerical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
22 Mar 2021 EPSRC Mathematical Sciences Small Grants Panel March 2021 Announced
Summary on Grant Application Form
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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Organisation Website: http://www.salford.ac.uk