caa a22 4500 475797264 CHVBK 20180406123728.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/PL00001517 doi (NATIONALLICENCE)springer-10.1007/PL00001517 Microforces and the theory of solute transport [Elektronische Daten] [E. Fried, S. Sellers] Abstract.: A generalized continuum framework for the theory of solute transport in fluids is proposed and systematically developed. This framework rests on the introduction of a generic force balance for the solute, a balance distinct from the macroscopic momentum balance associated with the mixture. Special forms of such a force balance have been proposed and used going back at least as far as Nernst's 1888 theory of diffusion. Under certain circumstances, this force balance yields a Fickian constitutive relation for the diffusive solute flux, and, in conjunction with the solute mass balance, provides a generalized Smoluchowski equation for the mass fraction. Our format furnishes a systematic procedure for generalizing convection-diffusion models of solute transport, allowing for constitutive nonlinearities, external forces acting on the diffusing constituents, and coupling between convection and diffusion. Birkhäuser Verlag, Basel,, 2000 Key words. Solute transport, convection and diffusion, Smoluchowski equation nationallicence Fried E. Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2935, USA, e-mail: e-fried@uiuc.edu, US aut Sellers S. School of Mathematics, University of East Anglia, Norwich NR4 7TJ, England, e-mail: shaun.sellers@yahoo.co.uk, UK aut https://doi.org/10.1007/PL00001517 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001517 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fried E. Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2935, USA, e-mail: e-fried@uiuc.edu, US aut NATIONALLICENCE 700 1- Sellers S. School of Mathematics, University of East Anglia, Norwich NR4 7TJ, England, e-mail: shaun.sellers@yahoo.co.uk, UK aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer