물질수지식이 의선형편미분방정식으로 표시되는 고정층 흡착-반응계의 거동을 특성곡선법과 shock의 이론을 도입하여 해석하였다. 유체상에서 1차 비가역반응이 진행되고 반응물과 생성물의 흡착평형관계가 모두 Freundlich등온식으로 표시되는 경우를 고려하였다. 반응물이 계단함수 및 구형파로 주입될 때 계의 거동을 해석하고 검토하였으며, methyl formate의 가수분해 반응을 선정하여 활성탄으로 충전한 고정층 반응기에서 반응시킨 실험결과와 비교하여 양자가 잘 부합함을 확인하였다. 이는 본 연구에 적용된 해석방법이 유효함을 뒷받침해주는 결과이며, 특히 구형파입력에 대한 해석결과는 크로마토그라피 반응기의 설계 및 조업을 위하여 유용한 자료가 될 것으로 기대한다.

The dynamic behavior of fixed-bed adsorption-reaction system has been represented by a pair of quasilinear partial differential equations of first order and analyzed by using the method of characteristics and introducing the theory of mathematical shock. It was assumed that a first order, irreversible reaction occurs in the fluid phase and adsorption of both the reactant and product follows the Freundlich isotherm. The system response was determined for a step change as well as for a square wave change in the reactant feed concentration. Methyl formate was hydrolyzed through a charcoal bed at room temperature to measure the breakthrough curves for methyl formate and methanol, respectively, when the reactant feed concentration underwent a step change and a square wave change. The experimental curves were in good agreement with those predicted by the theoretical analysis. This might be considered as an evidence for the validity of the method of analysis employed in this study. It is expected that the results for the square wave input would be useful for the design and operation of chromatographic reactors.