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Effect of macropore convection on mass transfer in a bidisperse adsorbent particle

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Abstract

The importance of adsorption induced convection in the macropores of a bidisperse adsorbent particle is studied for a step change in mole fraction or total pressure at the surface of the particle. Material balance equations for a binary gas mixture are written for both the macropores and the macropores with allowance for convection in the macropores, which is described by Darcy's law. The coupled set o1' partial differential equations is solved by orthogonal collocation. The enhancement in mass transfer as a result of convection is assessed by comparing the fractional uptake curves obtained with and without allowance for convection. Both equilibrium-based and kinetic-based separation processes are considered. The effect of the presence of convection in determining the controlling diffusional resistance (macropore or micropore) is also examined. Due to inclusion of convection no single non-dimensional group alone can determine the relative importance of macropore and micropore resistances. Results show that convection can significantly affect the performance of an equilibrium-based macropore diffusion controlled process and that the enhancement in mass transfer is more for a particle with a high value of Darcy permeability.

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Abbreviations

C :

Darcy's coefficient of convective flow, m2

c :

concentration, mol/m3 gas

D :

diffusion coefficient in micropore or macropore, m2/s

K :

Knudsen diffusion coefficient, m2/s

k :

linear isotherm coefficient, m3 gas/m3 microspheres

N :

flux in macropores, mol/m2 s

P :

pressure, Pa

q :

adsorbed-phase concentration, mol/m3 microspheres

R :

gas constant, J/mol K

t :

time, s

y :

mole fraction

Ξ :

porosity of an adsorbent particle

Λ :

partition ratio

µ:

viscosity of gas, kg/m s

τ :

dimensionless time

τ p :

particle tortuosity

A, B, i :

componentsA, B, i

m :

micropore

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Authors and Affiliations

  1. Department of Climical Engineering, University of Virginia, Charlottesville, 22903-2442, Virginia, USA

    Syed M. Taqvi, Anurag Vishnoi & M. Douglas Levan

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  1. Syed M. Taqvi
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  2. Anurag Vishnoi
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  3. M. Douglas Levan
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Taqvi, S.M., Vishnoi, A. & Levan, M.D. Effect of macropore convection on mass transfer in a bidisperse adsorbent particle. Adsorption 3, 127–136 (1997). https://doi.org/10.1007/BF01650236

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  • DOI: https://doi.org/10.1007/BF01650236

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