Real processing (RP) I: The principle of minimal entropy production (PME) of irreversible thermodynamics and the principle of minimal deformation (PMD) of hydrodynamics, their dependence and applications

Bernhard Reiser

Physica A: Statistical Mechanics and its Applications, 1996, vol. 229, issue 1, 127-142

Abstract: The principle of minimal entropy production (PME) of irreversible thermodynamics is generalized to determine process parameters in process engineering with well-known mathematical methods. This useful instrument applied to industrial processes is called real processing (RP). A special form of the PME is the principle of minimal deformation (PMD) which allows for applications in hydrodynamics (HD). A second and independent derivation of the PMD takes a similar way as the derivation of the statement of Helmholtz and Rayleigh (SHR). The generalization of SHR then leads to the PMD derived within HD. Next in a similar way. starting directly from the Navier-Stokes equation (NSE) can lead in a third way to the PMD. Several applications of the PMD are given: An analytical and numerical application of PMD is given for the entrance flow of tubes. Physical and analytical applications are the Crocco-Vazsonyi-type equations opening new possibilities of analytical treatment of process engineering problems. Process engineering models may be replaced by applications of PMD. In particular, turbulence may be treated as the answer of nature on PMD. A basic mathematical treatment of these subjects is possible by the gradient field theory (GFT), a particular method of vector analysis stemming from the Clebsch Ansatz for vector fields, which can be ordered from the author together with an advanced detailed mathematical treatment of these subjects.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:229:y:1996:i:1:p:127-142

DOI: 10.1016/0378-4371(96)00024-6

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