Details of Grant 

EPSRC Reference:	GR/L17191/01
Title:	THE KINEMATICS AND DYNAMICS OF FREE SURFACE COATING FLOWS
Principal Investigator:	Summers, Dr JL
Other Investigators:	Gaskell, Professor PH Savage, Professor M
Researcher Co-Investigators:
Project Partners:	Pre Nexus Migration
Department:	Mechanical Engineering
Organisation:	University of Leeds
Scheme:	Standard Research (Pre-FEC)
Starts:	01 April 1997	Ends:	31 March 2000	Value (£):	105,023
EPSRC Research Topic Classifications:	Continuum Mechanics
EPSRC Industrial Sector Classifications:	Chemicals
Related Grants:
Panel History:
Summary on Grant Application Form
The research is aimed at understanding key features of the kinetic and dynamic response of steady and unsteady free surface flows arising in the coating industry. The programme will entail the application of nonlinear dynamical systems theory to the autonomous and non-autonomous advection equations in order to determine both parametric and temporal evolution of the flow structures. The work will proceed in three phases. The first involves a thorough investigation of the kinematics of idealised models for free-surface flows, in the form of a cavity, for which analytical solutions in terms of the streamfunction can be found. Phase two investigates the temporal behaviour of these idealised flows to periodic/aperiodic forcing via speed and aspect ratio variations. State-of-the-art analytical methods will be used to map out the transient flow structure by tracing the invariant manifolds where chaotic advection and thorough mixing occur. Entrainment and detrainment will be described by the use of lobe dynamics and ultimately enabling fluid transport to be quantified. Finally coating problems of direct interest to industry will be examined and compared with the results from extensive flow visualisation studies performed at Kodak and Leeds. It is envisaged that the transient response of the coating fluid will provide important insight into how disturbances in flow structures contribute to/effect ultimate coating performance and coat quality.
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Organisation Website:	http://www.leeds.ac.uk