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DTSTAMP:20260405T191925Z
SUMMARY:Eleanor Johnstone: The use of asymptotic methods in boundary-layer 
 and interfacial phenomena
DESCRIPTION:We use asymptotic and numerical methods to explore the effects 
 of boundaries in two contrasting fluid regimes. We first describe static e
 quilibria in rectangular channels that are perturbed by isolated ridges/gr
 ooves or scattered bump protrusions/intrusions. We solve the Young-Laplace
  equation to quantify the sensitivity of the meniscus shape to the perturb
 ations using a combination of numerical computations and asymptotic techni
 ques. We show that the total pressure difference over the meniscus (and th
 erefore the mean curvature) can be found without solving the Young-Laplace
  equation. Perturbations can induce long-range curvature of the contact li
 ne\, which matches onto the contact line of a droplet with the same mean c
 urvature as the meniscus. We use this information to choose specific combi
 nations of perturbations to engineer contact line shapes. We further prese
 nt an asymptotic description of nonlinear equilibrium and travelling-wave 
 solutions of the Navier-Stokes equations in incompressible unsteady and co
 mpressible parallel boundary-layer flows. The solutions take the form of s
 elf-sustaining vortex-wave interaction-type states\, known as free-stream 
 coherent structures. The interaction produces streaky disturbances that ca
 n grow exponentially due to interaction with the base flow. An unsteady ba
 se flow strongly affects the time evolution of the structures\, and they c
 an only persist for a finite time. Meanwhile the velocity disturbance fiel
 d for compressible parallel flows in the subsonic and moderate supersonic 
 regimes also drives a passive thermal field. The maximum amplitude of the 
 resulting disturbances depends on the Mach number and the Prandtl number.
URL:https://www.imperial.ac.uk/events/166867/eleanor-johnstone/
DTSTART;TZID=Europe/London:20231013T140000
DTEND;TZID=Europe/London:20231013T150000
LOCATION:503\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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