A Study of the Theoretical Performance of Gaseous Adsorption Systems
Report Number: AMRL TR 67-198
Author(s): Madey, Richard, Charles, Joseph J.
Corporate Author(s): Clarkson College of Technology
Laboratory: Aerospace Medical Research Laboratories
Date of Publication: 1967-12
Pages: 102
Contract: AF 33(615)-5162
DoD Project: 6373
DoD Task: 637302
Identifier: AD0667811
Abstract:
This study of the theoretical performance of gaseous adsorption systems is based on an equation for the time-dependent transmission of a gas through an adsorber bed of length, l, and bulk density, rho, and a gas-adsorber system characterized by an isothermal adsorption capacity, K, and a dispersivity, D. For a step-function gaseous input pulse injected into a stream of carrier gas which flows through the adsorber at a superficial flow velocity, u, the time-dependent expression for the transmission is a function only of the dimensionless dispersion number, D/ul, and the dimensionless time measured in units of the inflection time. A weighted least-squares analysis is developed and programmed on a digital computer to determine from an experimental transmission versus time curve the values of the two theoretical parameters (namely, the dispersivity and the adsorptivity) in the transmission equation. The errors in the values of the two theoretical parameters are evaluated also by propagating the errors in the experimental values of the transmission through the normal equations of the least-squares analysis. The Newton-Raphson method is used for obtaining the solution of the two simultaneous normal equations of the least-squares analysis. The theory is used to analyze experimental data on the transmission of carbon dioxide in air through molecular sieve adsorber beds.
Provenance: RAF Centre of Aviation Medicine
Author(s): Madey, Richard, Charles, Joseph J.
Corporate Author(s): Clarkson College of Technology
Laboratory: Aerospace Medical Research Laboratories
Date of Publication: 1967-12
Pages: 102
Contract: AF 33(615)-5162
DoD Project: 6373
DoD Task: 637302
Identifier: AD0667811
Abstract:
This study of the theoretical performance of gaseous adsorption systems is based on an equation for the time-dependent transmission of a gas through an adsorber bed of length, l, and bulk density, rho, and a gas-adsorber system characterized by an isothermal adsorption capacity, K, and a dispersivity, D. For a step-function gaseous input pulse injected into a stream of carrier gas which flows through the adsorber at a superficial flow velocity, u, the time-dependent expression for the transmission is a function only of the dimensionless dispersion number, D/ul, and the dimensionless time measured in units of the inflection time. A weighted least-squares analysis is developed and programmed on a digital computer to determine from an experimental transmission versus time curve the values of the two theoretical parameters (namely, the dispersivity and the adsorptivity) in the transmission equation. The errors in the values of the two theoretical parameters are evaluated also by propagating the errors in the experimental values of the transmission through the normal equations of the least-squares analysis. The Newton-Raphson method is used for obtaining the solution of the two simultaneous normal equations of the least-squares analysis. The theory is used to analyze experimental data on the transmission of carbon dioxide in air through molecular sieve adsorber beds.
Provenance: RAF Centre of Aviation Medicine