Asymptotic studies of gravity-driven reacting coating flows and pultrusion processes

Coating flows have many very important applications in engineering. The first part of this thesis deals with gravity-driven reacting coating flows down an inclined plane. When the reaction activation energy is large and heat release is significant, long wave theory and large activation energy asymptotics are applied jointly to derive a consistent set of governing equations, which describe wave formation on the free surface and evolution of the reaction front. The key feature shown by the solution is the coupling of the free surface with the reaction front. When the reaction activation energy is small and heat release is insignificant, long wave theory leads to a single governing equation for wave formation on the free surface. Unlike its traditional counterpart, this equation has variable coefficients attributed to the effect of variable viscosity. The solution of this equation shows that linear, as well as, nonlinear wave formations differ appreciably from the constant viscosity coating flows.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Qi, Quan

Contributors dc:contributor

• Johnson, Robert E.

• Applied Mechanics
• Physics, Fluid and Plasma
• Engineering, Materials Science

Statement dc:rights

• Copyright 1992 Qi, Quan

Language dc:language

eng

Identifier

AAI9305658
(UMI)AAI9305658

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/20447