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Details of Grant 

EPSRC Reference: GR/K82154/01
Title: MOTION OF A CONTACT LINE ALONG A SOLID SURFACE AT HIGH REYNOLDS NUMBER
Principal Investigator: King, Professor A
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: School of Mathematics
Organisation: University of Birmingham
Scheme: Standard Research (Pre-FEC)
Starts: 01 November 1995 Ends: 31 July 1999 Value (£): 92,055
EPSRC Research Topic Classifications:
Continuum Mechanics
EPSRC Industrial Sector Classifications:
Related Grants:
Panel History:  
Summary on Grant Application Form
When a local measurement probe penetrates a fluid/fluid interface, two processes are crucial in determining the shape of the interface and, concomittantly, the performance of the probe. Firstly as the interface becomes close to the probe a thin-film forms between the probe and interface. The time taken for this thin film to rupture is of importance in determining the hold-up time of the probe (which appears as a lag in the electronic signal produced by the probe.) After penetration of the interface, a three-phase contact line will traverse the surface of the probe and also effects the measurement given by the probe. Our proposal is to analyse the basic hydrodynamical processes that occur in these two situations. In the first case a lubrication approximation leads to a non-linear evolution equation for the film thickness. In the second case some assumptions about the basic flow yield an integro-differential equation to describe the deformation of the interface and the motion of the contact line. Both these equations will be studied asymptotically and numerically in order to advise design engineers of various points in the optimum design of probes.
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Organisation Website: http://www.bham.ac.uk