Numerical Solution of Buoyancy Induced Motion of a Hydrogen Flame Bubble (Combustion, Convection)
Weeratunga, Sisira Kumara
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https://hdl.handle.net/2142/71690
Description
Title
Numerical Solution of Buoyancy Induced Motion of a Hydrogen Flame Bubble (Combustion, Convection)
Author(s)
Weeratunga, Sisira Kumara
Issue Date
1986
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Mechanical
Abstract
Mixtures of hydrogen and air, when confined to a standard flammability tube, exhibit a remarkable flame structure in the neighborhood of the lean limit. The subject of this dissertation is the investigation of this fine structure, referred to as "flame bubbles", brought about by cellular type instability. We consider the numerical simulation of steady, buoyancy induced motion of an isolated hydrogen flame bubble, with the intention of gaining an understanding of the qualitative features of the associated flow field.
The mathematical model is derived from thin flame sheet approximation based on high activation energy asymptotics. This leads to the numerical solution of the variable density Navier-Stokes equations and the energy equation in an axisymmetric geometry. Use of the finite difference discretization gives rise to a system of non-linear equations, which is solved using the Newton-Raphson method. The large sparse system of non-symmetric linear equations corresponding to the Jacobian matrix is then solved using direct as well as iterative schemes.
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