Study of two-dimensional, all-time dispersion of a solute in a fluid-saturated porous medium

Study of two-dimensional, all-time dispersion of a solute in a fluid-saturated porous medium

The effect of interphase mass transfer on dispersion in a unidirectional flow through a horizontally extent of infinite porous channel is examined using the generalized dispersion model of Sankarasubramanian and Gill [91]. The model brings into focus three important coefficients namely the exchange coefficient, the convection coefficient and the dispersion coefficient. The exchange co- efficient exists due to interphase mass transfer. The effects of reaction rate parameter, ? porous parameter, ? and Brinkman number, ??, on the veloc- ity and thereby the convective and dispersion coefficients are discussed. The time-dependent dispersion coefficient and mean concentration distribution are computed and results are represented graphically for various values of ? ? and ??. The results have applications in heat exchangers, petroleum and chemical engineering problems, chromatography and bio-mechanical problems.

GANESH B. S. SUMAN

Mathematics