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A Simple Example of Control to Minimize Entropy Production
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P. Salamon
Published/Copyright:
June 1, 2005
Abstract
This paper treats the simple example of heating a system from a given initial to a given final temperature with minimum entropy production. The allowed control for the process is the selection of K temperatures for intermediate heat baths. The problem is sufficiently simple to allow analytic approaches and we compare the optimal solution with the solution prescribed by equal thermodynamic distance (ETD). We find that ETD coincides with the optimum if the heat capacity is constant. For a temperaturedependent heat capacity, ETD deviates from the exact optimum. ETD however matches the optimal solution to second order in 1/K.
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Published Online: 2005-06-01
Published in Print: 2002-05-07
Copyright © 2002 by Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- Evaluation of the Thermodynamic Consistency of Closure Approximations in Several Models Proposed for the Description of Liquid Crystalline Dynamics
- Onset of Free Convection in Solutions with Variable Soret Coefficients
- A Simple Example of Control to Minimize Entropy Production
- Heat-Transfer Effect on the Performance of a Magnetic Ericsson Refrigerator
- Convective Instability in Transient Evaporating Thin Liquid Layers
- Realizability Areas for Thermodynamic Systems with Given Productivity
