Transverse diffusive mixing of solutes in pressure driven microchannels: a Lattice Boltzmann study of the scaling laws / Segun Ayodele in La Houille blanche, N° 6 (2009)  

Public ISBD [article]  inLa Houille blanche > N° 6 (2009) . - pp. 93-100 Titre : Transverse diffusive mixing of solutes in pressure driven microchannels: a Lattice Boltzmann study of the scaling laws Titre original : Mélange transverse du type convection à diffusion de solutés dans les micro canaux sous pression: une étude Lattice Boltzmann des lois d'échelle Type de document : texte imprimé Auteurs : Segun Ayodele, Auteur ; Fathollah Varnik, Auteur ; Dierk Raabe, Auteur Article en page(s) : pp. 93-100 Note générale : Hydraulique Langues : Anglais (eng) Mots-clés : Microfluidique Micro-canaux Lois d'échelle Lattice Boltzmann Index. décimale : 551.4 surface du globe.Géographie physique.Géomorphologie Résumé : We study scaling laws characterizing the inter-diffusive zone of two miscible fluids flowing side by side in a Y-shape laminar micromixer using the lattice Boltzmann method. The lattice Boltzmann method solves the coupled 3D hydrodynamics and mass transfer equations and incorporates intrinsic features of 3D flows related to this problem. We observe the different power law regimes occurring at the center of the channel and close to the top/bottom wall. The extent of the inter-diffusive zone scales as square root of the axial distance at the center of the channel. At the top/bottom wall, we find an exponent 1/3 at early stages of mixing as observed in the experiments of Ismagilov and coworkers [Appl. Phys. Lett. 76,2376 (2000)]. At a larger distance from the entrance, however, the scaling exponent close to the walls changes to 1/2. For a channel with infinite aspect ratio (width/height), a criterion for this cross over can be given using the homogenization of the tracer concentration field along the shortest dimension (height) of the channel [J.-B. Salmon et al J. Appl. Phys.101, 074902 (2007)]. We analyze the effect of finite aspect ratio and volumetric flow rate on the extent of diffusive broadening. Interestingly, we find the same scaling laws regardless of the channel's aspect ratio. However, the point at which the exponent 1/3 characterizing the broadening at the top/bottom wall reverts to the normal diffusive behavior downstream varies with the aspect ratio. DEWEY : 553.7 ISSN : 0018-6368 En ligne : http://www.shf-lhb.org/index.php?option=article&access=standard&Itemid=129&url=/ [...] [article] Transverse diffusive mixing of solutes in pressure driven microchannels: a Lattice Boltzmann study of the scaling laws = Mélange transverse du type convection à diffusion de solutés dans les micro canaux sous pression: une étude Lattice Boltzmann des lois d'échelle [texte imprimé] / Segun Ayodele, Auteur ; Fathollah Varnik, Auteur ; Dierk Raabe, Auteur . - pp. 93-100. Hydraulique Langues : Anglais (eng) in La Houille blanche > N° 6 (2009) . - pp. 93-100 Mots-clés : Microfluidique Micro-canaux Lois d'échelle Lattice Boltzmann Index. décimale : 551.4 surface du globe.Géographie physique.Géomorphologie Résumé : We study scaling laws characterizing the inter-diffusive zone of two miscible fluids flowing side by side in a Y-shape laminar micromixer using the lattice Boltzmann method. The lattice Boltzmann method solves the coupled 3D hydrodynamics and mass transfer equations and incorporates intrinsic features of 3D flows related to this problem. We observe the different power law regimes occurring at the center of the channel and close to the top/bottom wall. The extent of the inter-diffusive zone scales as square root of the axial distance at the center of the channel. At the top/bottom wall, we find an exponent 1/3 at early stages of mixing as observed in the experiments of Ismagilov and coworkers [Appl. Phys. Lett. 76,2376 (2000)]. At a larger distance from the entrance, however, the scaling exponent close to the walls changes to 1/2. For a channel with infinite aspect ratio (width/height), a criterion for this cross over can be given using the homogenization of the tracer concentration field along the shortest dimension (height) of the channel [J.-B. Salmon et al J. Appl. Phys.101, 074902 (2007)]. We analyze the effect of finite aspect ratio and volumetric flow rate on the extent of diffusive broadening. Interestingly, we find the same scaling laws regardless of the channel's aspect ratio. However, the point at which the exponent 1/3 characterizing the broadening at the top/bottom wall reverts to the normal diffusive behavior downstream varies with the aspect ratio. DEWEY : 553.7 ISSN : 0018-6368 En ligne : http://www.shf-lhb.org/index.php?option=article&access=standard&Itemid=129&url=/ [...]

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