A spatially dependent model for washing wool

A spatially dependent model for washing wool

We analytically model the transport of dirt in the industrial washing of wool using the advection–diffusion equation in two dimensions. Separation of variables leads to a Sturm–Liouville problem where the analytic solution reveals how contamination is distributed both along and down the wool and ind...

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Veröffentlicht in:Applied mathematical modelling 2008-04, Vol.32 (4), p.389-404
Hauptverfasser: Caunce, J.F., Barry, S.I., Mercer, G.N.
Format: Artikel
Sprache:eng
Schlagworte:
Eigenfunction
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Sturm–Liouville
Turbulence simulation and modeling
Turbulent flows, convection, and heat transfer
Wool scouring
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Zusammenfassung:We analytically model the transport of dirt in the industrial washing of wool using the advection–diffusion equation in two dimensions. Separation of variables leads to a Sturm–Liouville problem where the analytic solution reveals how contamination is distributed both along and down the wool and indicates the operating parameter regimes that optimise the cleaning efficiency.
ISSN:0307-904X
DOI:10.1016/j.apm.2006.12.010