Abstract.
An approximate closed-form expression is derived for the average wall-reaching rate kW or time τW=kW -1 of laser-tagged molecules diluted in an inert carrier gas migrating to the wall of a long cylinder where they are removed with sticking coefficient ηW. The exact equation for the sticky wall problem requires a trial-and-error solution of a transcendental relation with Bessel–functions. With the aid of the Fermi–Amaldi albedo theory, an explicit “compromise” relation is derived which approximates the exact diffusion curve of kW versus ηW rather well. The result is applied to obtain curves of kW versus ηW at different gas mix pressures for UF6 diluted in N2.
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Received: 5 June 2000 / Revised version: 31 January 2001 / Published online: 27 April 2001
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Eerkens, J. Average diffusion-to-the-wall times for laser-tagged molecules in a long cylinder . Appl Phys B 72, 885–892 (2001). https://doi.org/10.1007/s003400100567
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DOI: https://doi.org/10.1007/s003400100567