ORAL

SESSION: EnergyMonAM-R2	Dodds International Symposium on Sustainable Energy Production (4th Intl. Symp. on Sustainable Energy Production: Fossil; Renewables; Nuclear; Waste handling , processing, and storage for all energy production technologies; Energy conservation)
Mon Oct, 23 2017	Room: Peninsula 3
Session Chairs: Wesley Williams; Martin Mansson; Session Monitor: TBA

16:00: [EnergyMonAM08]
Thermodynamic Stability of Irreversible Processes: A Gibbs-Duhem Type Theory and the Fourth Law of Thermodynamics
Anil A. Bhalekar¹ ; Bjarne Andresen² ; ¹RTM Nagpur University, Nagpur, India; ²University of Copenhagen, COPENHAGEN, Denmark;
Paper Id: 144 [Abstract]

The Gibbs-Duhem theory of stability of equilibrium states has been extended to determine the stability of irreversible processes. The basic concept of virtual displacement in the reverse direction on the real trajectory, which is involved in the celebrated Gibbs-Duhem theory, has been used. This establishes that all thermodynamically describable processes are thermodynamically stable. This outcome led us to reformulate the fourth law of thermodynamics. Moreover, our present investigations illustrate the basis of the universal inaccessibility principle formulated earlier by one of the present authors (AAB).

SESSION: EnergyTueAM-R2	Dodds International Symposium on Sustainable Energy Production (4th Intl. Symp. on Sustainable Energy Production: Fossil; Renewables; Nuclear; Waste handling , processing, and storage for all energy production technologies; Energy conservation)
Tue Oct, 24 2017	Room: Peninsula 3
Session Chairs: Manfred Mauntz; Tamer Turna; Session Monitor: TBA

12:00: [EnergyTueAM03]
Thermodynamic Stability of Industrial Chemical Processes using Lyapunov Function Analysis
Vijay Tangde¹ ; Anil A. Bhalekar¹ ; ¹RTM Nagpur University, Nagpur, India;
Paper Id: 263 [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.

SESSION: EnergyTuePM-R2	Dodds International Symposium on Sustainable Energy Production (4th Intl. Symp. on Sustainable Energy Production: Fossil; Renewables; Nuclear; Waste handling , processing, and storage for all energy production technologies; Energy conservation)
Tue Oct, 24 2017	Room: Peninsula 3
Session Chairs: Anil A. Bhalekar; Pearl Mamanti Sealiete; Session Monitor: TBA

14:30: [EnergyTuePM05] Plenary
Thermodynamic Stability of Irreversible Processes Based on Lyapunov Function Analysis
Anil A. Bhalekar¹ ; Vijay Tangde¹ ; ¹RTM Nagpur University, Nagpur, India;
Paper Id: 145 [Abstract]

In the preceding paper [1] we have formulated a theory of thermodynamic stability which is an extension to irreversible processes of the Gibbs-Duhem theory of the stability of equilibrium states. This theory involves the concept of virtual displacement in the reverse direction on the real trajectory. In this paper the comprehensive thermodynamic theory of stability of irreversible processes (CTTSIP) has been presented that is based on the celebrated Lyapunov's second method of stability of motion in which we have defined the thermodynamic Lyapunov function using the rate of entropy production both on the perturbed and unperturbed trajectories. From the sign definiteness of the thermodynamic Lyapunov function and the behaviour of its time rate of change it gets established that all thermodynamically describable irreversible processes are thermodynamically stable and out of them the processes under the condition of constancy of U,V; H,p; T,V; T,p; etc. get established as of thermodynamically asymptotic stability and are expected to be of exponentially asymptotic stability too.