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Mixing and Bimolecular Reactions in Heterogeneous Porous Media Flows

Jagadeesh Anmala

ISBN 10: 3838343832 / ISBN 13: 9783838343839
Published by LAP Lambert Academic Publishing
New Condition: New Soft cover
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196 pages. Dimensions: 8.7in. x 5.9in. x 0.5in.This book addresses the coupling of a bimolecular transformation reaction with bounded rectilinear and spatially heterogeneous subsurface flows. It is shown that due to the action of local dispersion, at large time, the cross covariance budget is characterized by a balance between its rate of production and dissipation. This results in deriving a formula for effective reaction rate given by eff12Dij ((lnC1)(xi ))((lnC2)(xj )) that accounts for the influence of concentration microstructure and small-scale mixing on the macroscopic bimolecular kinetics. For rectilinearly varying flows, a theoretical bound (using variational calculus) on dissipation time scale () is shown to be a tight bound. The formulation for reaction macro-kinetics developed here provides a way to represent the influence of reactant concentration microstructure in large-scale descriptions of reactive transport. The book should be useful to Theoretical Physicists, Theoretical Chemists, Mathematical Modelers, Computational (or Numerical) Modelers, Hydrogeologists, Turbulence enthusiasts, Civil, Chemical and Environmental Engineers. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783838343839

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Title: Mixing and Bimolecular Reactions in ...

Publisher: LAP Lambert Academic Publishing

Binding: Paperback

Book Condition:New

Book Type: Paperback

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This book addresses the coupling of a bimolecular transformation reaction with bounded rectilinear and spatially heterogeneous subsurface flows. It is shown that due to the action of local dispersion, at large time, the cross covariance budget is characterized by a balance between its rate of production and dissipation. This results in deriving a formula for effective reaction rate given by ?_eff??[1+2?D_ij ((?lnC_1)?(?x_i ))((?lnC_2)?(?x_j )) ] that accounts for the influence of concentration microstructure and small-scale mixing on the macroscopic bimolecular kinetics. For rectilinearly varying flows, a theoretical bound (using variational calculus) on dissipation time scale (?) is shown to be a tight bound. The formulation for reaction macro-kinetics developed here provides a way to represent the influence of reactant concentration microstructure in large-scale descriptions of reactive transport. The book should be useful to Theoretical Physicists, Theoretical Chemists, Mathematical Modelers, Computational (or Numerical) Modelers, Hydrogeologists, Turbulence enthusiasts, Civil, Chemical and Environmental Engineers.

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