Thermal mass and thermal inertia in fluids - A comparison of hypotheses

Stanisław Sieniutycz , R. Stephen Berry

Abstract

Thermal inertia and thermal mass are concepts that offer means to describe transport of heat in nonequilibrium fluids. However there are options regarding how to separate the part of the total flow that caries entropy from the "mechanical", nonentropy-bearing part. Some hypotheses are examined and compared for constructing such a field theory of thermal mass in the energy representation. A global intrinsic symmetry and a finite thermal momentum imply that any formulation which hypothesizes a constant ratio θ of thermal mass to the entropy must tie the thermal mass to the so-called bare mass of particles, to preserve the global conservation of matter. However, in any formulation consistent with the Grad-Boltzmann theory, where θ must be variable, the thermal mass behaves as a separate variable governed by the entropy and the second law. Nonetheless, in this case θ has a reasonably broad plateau of values within which entropy is a measure of the thermal mass associated with changes of state. Nonlinear transformations linking usual thermodynamic variables with those of the thermal mass frame preserve the components of the tensor of matter, including Nöther's energy and pressure. A formula is given for the fraction of the observed mass assignable as thermal mass, in accordance with Grad's solution of the Boltzmann equation.
Author Stanisław Sieniutycz (FCPE / DSP)
Stanisław Sieniutycz,,
- Department of Separation Processes
, R. Stephen Berry
R. Stephen Berry,,
-
Journal seriesOpen Systems & Information Dynamics, ISSN 1230-1612
Issue year1997
Vol4
No1
Pages15-43
Publication size in sheets1.4
Keywords in Englishapplications of mathematics, information and communication, circuits, mechanical engineering, statistical physics, systems theory, control
ASJC Classification2610 Mathematical Physics; 2613 Statistics and Probability; 3109 Statistical and Nonlinear Physics
DOIDOI:10.1023/A:1009653417147
URL http://download.springer.com/static/pdf/813/art%253A10.1023%252FA%253A1009653417147.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1023%2FA%3A1009653417147&token2=exp=1485866043~acl=%2Fstatic%2Fpdf%2F813%2Fart%25253A10.1023%25252FA%25253A1009653417147.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1023%252FA%253A1009653417147*~hmac=928c01d790aff97492f32cacb7fc6a43ace8e2d06c0cc62a0bcd74084ebea7c9
Languageen angielski
File
Sieniutycz S., R. Berry R.S. - Thermal Mass and Thermal....pdf 329.43 KB
Score (nominal)25
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 1999 = 0.309; WoS Impact Factor: 2006 = 1.033 (2) - 2007=0.973 (5)
Citation count*15 (2020-01-01)
Cite
Share Share

Get link to the record


* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Back
Confirmation
Are you sure?