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Sample calculations demonstrated that the formula provides an excellent representation of the mass exchange rate in cyclic adsorption systems.
In a gas fluidised-bed, bubble coalescence gives rise to a very rapid mass exchange rate with the dense phase.
A simple linear formula is developed for estimation of the mass exchange rate between an adsorbent particle and its surroundings undergoing a cyclic change in concentration.
An approximation formula for estimation of mass exchange rate between a biporous adsorbent and its surrounding that undergoes a cyclic change in concentration is theoretically developed.
For reactive solute, we take nitrate as an example and analytically link its mass exchange rate to that for the inert tracer assuming that the nitrate reduction is a first-order kinetics.
Reactions at the walls are assumed to take place at two different rates, one in fast rate where the chemicals in the solution and on the wall are in an instant equilibrium, and the other in slow rate where the mass exchange rate between the chemicals in the solution and on the wall is a first-order kinetic.
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How to link the mass exchange rates for inter tracer and reactive solutes is poorly studied.
To verify these directly- calculated mass exchange rates, we apply them to model the leaching of the inert tracer and the reactive nitrate in an aggregated soil column.
Finally, while current models can obtain good fits to measured BTCs by parameterizing mass exchange rates and volume ratios, these parameters do not adequately describe the fundamental fluid mechanics driving exchange.
The simulated solute concentration in all voxels is sampled and then volumetrically averaged to calculate the average mass exchange rates between solute inside and outside the aggregates in the soil image.
The purpose of this paper is to present direct methods to calculate the mass exchange rates for inert tracer and reactive solute using x-ray tomography and pore-scale simulations.
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