A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2012; you can also visit the original URL.
The file type is
RIGOROUS DERIVATION OF A HYPERBOLIC MODEL FOR TAYLOR DISPERSION
Mathematical Models and Methods in Applied Sciences
In this paper we upscale the classical convection-diffusion equation in a narrow slit. We suppose that the transport parameters are such that we are in Taylor's regime i.e. we deal with dominant Peclet numbers. In contrast to the classical work of Taylor, we undertake a rigorous derivation of the upscaled hyperbolic dispersion equation. Hyperbolic effective models were proposed by several authors and our goal is to confirm rigorously the effective equations derived by Balakotaiah et al indoi:10.1142/s0218202510005264 fatcat:2dmtfrounzbg7cxofeml6y5h5m