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Asymptotic analysis of a fast reaction outside a solid sphere in a creeping flow

Posted on:2003-07-09Degree:Ph.DType:Dissertation
University:University of MontanaCandidate:Lertskrai, SupawanFull Text:PDF
GTID:1461390011989061Subject:Mathematics
Abstract/Summary:
This dissertation studies a problem that combines mass transfer of an active chemical species through the surface of a solid sphere located in an axially symmetric, incompressible slow flow and a fast reaction outside the sphere. The solute from the interior of the sphere diffuses through the sphere's surface and enters the liquid. Due to the presence of a fast reaction, the problem contains a small parameter which makes the problem singularly perturbed. The asymptotic approximation of the solution is derived using the Boundary Function method.
Keywords/Search Tags:Fast reaction, Sphere, Problem
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