The use of residence time distribution data for estimation of parameters in the axial dispersion model
TL;DR: In this paper, the authors presented four convenient methods for determination of the mean residence time and axial dispersion coefficient of a flow system by analysis of data obtained by means of the imperfect tracer pulse method.
About: This article is published in Chemical Engineering Science.The article was published on 1970-04-01. It has received 49 citations till now. The article focuses on the topics: Residence time distribution & Laplace transform.
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TL;DR: In this paper, four methods are proposed for estimating the dominant time constant and dead time of a given process from a knowledge of its moments, s-plane, frequency or transient response data, which are faster and simpler and, in terms of accuracy and reliabiltiy, are comparable to the time domain least squares procedure for parameter estimation.
Abstract: Four methods are proposed for estimating the dominant time constant and dead time of a given process from a knowledge of its moments, s-plane, frequency or transient response data. The methods are faster and simpler and, in terms of accuracy and reliabiltiy, are comparable to the time domain least squares procedure for parameter estimation. Applications of the methods are illustrated with the aid of a dispersion model. A comparison is also made with other known techniques to demonstrate the superiority of the suggested methods.
152 citations
TL;DR: In this paper, a single pellet string reactor (SPSR) was used to simulate a packed bed reactor, which is particularly useful for larger solid particles such as pelletized ores, and also offers a convenient laboratory method for obtaining average effective diffusion coefficients for a representative sample of large porous particles.
76 citations
TL;DR: In this paper, the Lagrangian approach to mixing is discussed and the concepts of residence time and residence time distribution are defined, and the concept of micromixing is discussed in the third chapter with due emphasis on the application to chemical reactors.
Abstract: This review is concerned primarily with the Lagrangian approach to mixing. First, the concepts of residence time and residence time distribution are introduced and defined. After a general treatment of this topic in the second chapter, the concept of micromixing is discussed in the third chapter with due emphasis on the application to chemical reactors. The final chapters extend the theory and applications to unsteady stale systems and to systems which are non-isothermal or non-homogeneous.
66 citations
TL;DR: A survey of the recent literature in the area of process identification and parameter estimation techniques applicable to lumped-parameter, deterministic, dynamical systems and a guide to particular applications which will assist the reader in selecting the best method for his specific problem.
Abstract: This paper represents a survey of the recent literature in the area of process identification and parameter estimation techniques applicable to lumped-parameter, deterministic, dynamical systems. Methods reviewed include statistical estimation techniques, direct and indirect methods based on optimal control theory, functional expansion, impulse response, frequency response and a number of other specific methods. Each method is presented in a consistent format which includes an outline of the general characteristics, calculational techniques, experimental techniques, reliability estimates and applications. The overall objective is to provide a basis for comparison of the methods and a guide to particular applications which will assist the reader in selecting the best method for his specific problem Comments and additions are solicited: see page 263.
65 citations
TL;DR: In this paper, the residence time distribution in liquid phase was measured in a cocurrent upflow packed bed reactor for the system methanol-hydrogen at low Reynolds numbers and at elevated pressure.
Abstract: The residence time distribution in liquid phase was measured in a cocurrent upflow packed bed reactor for the system methanol-hydrogen at low Reynolds numbers and at elevated pressure. The plug flow with axial dispersion model was used to describe mixing in the system. The imperfect pulse method was used to measure the system response to a tracer pulse input. The parameters were calculated using the weighted moments method. The influence of the weighting factor was investigated. The experimental and theoretical outputs, as calculated by convolution, agreed very well. Different types of correlations were used for the Bodenstein number and liquid hold-up. From these correlations, the optimal one was selected for each parameter. A comparison was made between the ordinary moments and the weighted moments methods which led to the conclusion that the latter method is superior with respect to the accuracy of the estimated parameters and therefore strongly recommended.
51 citations