Taylor dispersion of chemically reactive species: Irreversible first-order reactions in bulk and on boundaries

TY - JOUR

T1 - Taylor dispersion of chemically reactive species

T2 - Irreversible first-order reactions in bulk and on boundaries

AU - Shapiro, Michael

AU - Brenner, Howard

N1 - Funding Information: Acknowledgement-During the course of this research, MS. was supported by a Bantrell Foundation Postdoctoral Fellowship, administered by MIT.

PY - 1986

Y1 - 1986

N2 - Generalized Taylor dispersion theory is extended so as to include position-dependent irreversible first-order reactions in the bulk fluid and on the boundaries. We go beyond prior analyses in considering: (i) flows whose streamlines are curvilinear rather than rectilinear; (ii) position-dependent tensorial molecular diffusivities; (iii) (conservative) external forces exerted on the reactive species; and (iv) nonuniform surface reaction velocity constants. Potential extensions to time-periodic flows and time-periodic molecular transport coefficients are pointed out. Our curvilinear flow analysis constitutes a necessary precursor to the study of comparable bulk and surface reactions in (spatially periodic models of) porous media.

AB - Generalized Taylor dispersion theory is extended so as to include position-dependent irreversible first-order reactions in the bulk fluid and on the boundaries. We go beyond prior analyses in considering: (i) flows whose streamlines are curvilinear rather than rectilinear; (ii) position-dependent tensorial molecular diffusivities; (iii) (conservative) external forces exerted on the reactive species; and (iv) nonuniform surface reaction velocity constants. Potential extensions to time-periodic flows and time-periodic molecular transport coefficients are pointed out. Our curvilinear flow analysis constitutes a necessary precursor to the study of comparable bulk and surface reactions in (spatially periodic models of) porous media.

UR - http://www.scopus.com/inward/record.url?scp=0022956505&partnerID=8YFLogxK

U2 - 10.1016/0009-2509(86)85228-9

DO - 10.1016/0009-2509(86)85228-9

M3 - 文章

AN - SCOPUS:0022956505

SN - 0009-2509

VL - 41

SP - 1417

EP - 1433

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 6

ER -