2017-Sustainable Industrial Processing Summit
SIPS 2017 Volume 2. Dodds Intl. Symp. / Energy Production

Editors:Kongoli F, Buhl A, Turna T, Mauntz M, Williams W, Rubinstein J, Fuhr PL, Morales-Rodriguez M
Publisher:Flogen Star OUTREACH
Publication Year:2017
Pages:306 pages
ISBN:978-1-987820-63-8
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    Thermodynamic Stability of Industrial Chemical Processes using Lyapunov Function Analysis

    Vijay Tangde1; Anil A. Bhalekar1;
    1RTM NAGPUR UNIVERSITY, Nagpur, India;
    Type of Paper: Regular
    Id Paper: 263
    Topic: 17

    Abstract:

    The role of thermodynamics in pro tably running an industrial process is well known. Among several issues, some of the basic ones are the thermodynamics of the process under consideration and, economical and sustainable energy management. Thus while attending to these aspects a crucial issue is that of maintaining the stability of irreversible processes. There are several ways to handle this aspect and the basic of all of them is the one based on thermodynamics. For this purpose, one of us (AAB) has already developed a Comprehensive Thermodynamic Theory of Stability of Irreversible Processes (CTTSIP). Within the framework of CTTSIP, we have investigated the thermodynamic stability of some industrial chemical processes. In this presentation, applications of CTTSIP to industrial chemical processes have been presented. The CTTSIP is based on the Lyapunov's second method of stability of motion which involves de ning the thermodynamic Lyapunov function (Ls), constructed using entropy production rates on real and perturbed trajectories. In the method adopted, the entropy production rate (Ls) and thermodynamic Lyapunov function (Ls) are expanded in Taylor series in terms of perturbation coordinates. Herein, the thermodynamic stability of industrial chemical processes, namely, sulfur trioxide synthesis (Contact Process) and ammonia synthesis (Haber Process) have been studied against the perturbation in temperature of the reaction bed. The behavior of the computed time rate change of Lyapunov function provides the desired information about the stability. Study reveal the regions of stability, asymptotic thermodynamic stability, stability under constantly acting small disturbances and instability. The computations were carried out using the software Mathematica 11.1" from Wolfram Research, USA.

    Keywords:

    Industry; Optimization;

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    Cite this article as:

    Tangde V and Bhalekar A. (2017). Thermodynamic Stability of Industrial Chemical Processes using Lyapunov Function Analysis. In Kongoli F, Buhl A, Turna T, Mauntz M, Williams W, Rubinstein J, Fuhr PL, Morales-Rodriguez M (Eds.), Sustainable Industrial Processing Summit SIPS 2017 Volume 2. Dodds Intl. Symp. / Energy Production (pp. 149-150). Montreal, Canada: FLOGEN Star Outreach