Inequalities for bounds on effective transport coefficients of two-phase media from power expansions at real points

2009 ◽  
Vol 61 (4) ◽  
pp. 773-780 ◽  
Author(s):  
S. Tokarzewski
Keyword(s):  
Transport Coefficients ◽  
Two Phase ◽  
Effective Transport ◽  
Effective Transport Coefficients

A Contribution to the Bounds on Real Effective Moduli of Two-Phase Composite Materials

1997 ◽  
Vol 07 (06) ◽  
pp. 769-789 ◽  
Author(s):  
Stanisław Tokarzewski ◽  
Józef Joachim Telega
Keyword(s):  
Composite Materials ◽  
Effective Conductivity ◽  
Transport Coefficients ◽  
Effective Moduli ◽  
Regular Array ◽  
Two Phase ◽  
Stieltjes Functions ◽  
Effective Transport ◽  
Effective Transport Coefficients ◽  
Infinite Set

Effective transport coefficients of two-phase composite materials λe(x) can be represented by power expansions of four Stieltjes functions: λe(x)/λ1, λ2(x)/λe, λe(y)/λ2, λ1(y)/λe, where x = (λ2/λ1) - 1 and y = -x/(x + 1), while λ1 and λ2 denote the real moduli of a matrix and inclusions respectively.5 By constructing Padé approximants to power expansions of these functions, we derive an infinite set of fundamental inequalities identifying real-valued Milton's bounds20 as a lower and upper estimations of λe(x). From coefficients of a power expansion of λe(x) not exactly known, but only within the limits, the infinite set of new bounds on λe(x) has been derived. Due to Schulgasser inequality21 some improvement of existing bounds20 is proposed. For an illustration of the results achieved, the improved bounds on the effective conductivity λe(x) of a regular array of spheres are evaluated.

scholarly journals Effective Transport Coefficients for Porous Microstructures in Solid Oxide Fuel Cells

2019 ◽  
Vol 25 (2) ◽  
pp. 1341-1350 ◽  
Author(s):  
Hae-Won Choi ◽  
Arganthaël Berson ◽  
Ben Kenney ◽  
Jon Pharoah ◽  
Steven Beale ◽  
...  
Keyword(s):  
Fuel Cells ◽  
Solid Oxide Fuel Cells ◽  
Transport Coefficients ◽  
Solid Oxide ◽  
Oxide Fuel ◽  
Effective Transport ◽  
Effective Transport Coefficients ◽  
Porous Microstructures

scholarly journals A nonlinear thermodynamic model for a breakdown of the Onsager symmetry and the efficiency of thermoelectric conversion in nanowires

2014 ◽  
Vol 470 (2170) ◽  
pp. 20140265 ◽  
Author(s):  
V. A. Cimmelli ◽  
A. Sellitto ◽  
D. Jou
Keyword(s):  
Transport Coefficients ◽  
Thermoelectric Conversion ◽  
Thermoelectric Energy ◽  
Thermoelectric Systems ◽  
Onsager Symmetry ◽  
Effective Transport ◽  
Non Local ◽  
Effective Transport Coefficients ◽  
Linear Effects ◽  
Symmetry Relations

We consider non-equilibrium steady-state situations for thermoelectric systems with non-local and non-linear effects. We show that the Onsager symmetry relations for effective transport coefficients break down. We also estimate the consequences of such a breakdown for the efficiency of the thermoelectric energy conversion which, under some conditions, could be higher than in the usual linear regime with Onsager symmetry.

Sign in / Sign up

Export Citation Format

Share Document