5. Phenomenological Coefficients of the Viscosity for Low-Molecular Elementary Liquids and Solutions

2014 ◽  
pp. 119-146
Keyword(s):  
Phenomenological Coefficients

Phenomenological coefficients for transport by dumbbell mechanisms in a dilute random bcc alloy

2001 ◽  
Vol 81 (2) ◽  
pp. 431-446 ◽  
Author(s):  
S. Sharma ◽  
D. K. Chaturvedi ◽  
I. V. Belova ◽  
G. E. Murch
Keyword(s):  
Phenomenological Coefficients

Gibbs Systems Dynamics: A Simple But Powerful Tool for Process Analysis, Design and Optimization

2002 ◽  
Author(s):  
Pierre Neveu ◽  
Nathalie Mazet
Keyword(s):  
Process Analysis ◽  
Irreversible Processes ◽  
Systems Dynamics ◽  
Vapor Compression ◽  
Technical Data ◽  
Design And Optimization ◽  
The Mean ◽  
Analysis Design ◽  
Phenomenological Coefficients ◽  
Condensing Pressure

Dynamic process modeling by the mean of Equivalent Gibbs systems is described here. It allows to model a large number of processes and only requires standard engineering knowledge. This method is issued from thermodynamics of irreversible processes, initiated by I. Prigogine, but applied here to process engineering. First, an Equivalent Gibbs System (EGS) is defined for each component involved in the process. In such system, mass, energy and entropy are linked through Gibbs equation and entropy production can easily be expressed according to fluxes and their related forces. Assuming linear phenomenological laws, phenomenological coefficients can be calculated from common engineering correlations, or evaluated from technical data if available. As an example, a conventional vapor compression chiller is simulated. Three control modes are analyzed on an exergy basis: on/off control with constant or floating condensing pressure, PID control with variable compressor speed.

scholarly journals The Heat Flux Vector(s) in a Two Component Fluid Mixture

Fluids ◽  
2020 ◽  
Vol 5 (2) ◽  
pp. 77
Author(s):  
A. D. Kirwan ◽  
Mehrdad Massoudi
Keyword(s):  
Heat Flux ◽  
Interaction Force ◽  
Heat Fluxes ◽  
Fluid Mixture ◽  
Two Fluids ◽  
Heat Flux Vector ◽  
Special Cases ◽  
Different Temperatures ◽  
Phenomenological Coefficients ◽  
Kinematic Properties

Bulk kinematic properties of mixtures such as velocity are known to be the density weighed averages of the constituent velocities. No such paradigm exists for the heat flux of mixtures when the constituents have different temperatures. Using standard principles such as frame indifference, we address this topic by developing linear constitutive equations for the constituent heat fluxes, the interaction force between constituents, and the stresses for a mixture of two fluids. Although these equations contain 18 phenomenological coefficients, we are able to use the Clausius-Duhem inequality to obtain inequalities involving the principal and cross flux coefficients. The theory is applied to some special cases and shown to reduce to standard results when the constituents have the same temperature.

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