Heat Conduction and Finite Measures for Transition Times between Steady States

1991 ◽  
Vol 47 (2) ◽  
pp. 193-206 ◽  
Author(s):  
A. MCNABB ◽  
G. C. WAKE
Keyword(s):  
Heat Conduction ◽  
Steady States ◽  
Transition Times ◽  
Finite Measures

scholarly journals Analysis and characterization of transition states in metabolic systems. Transition times and the passivity of the output flux

1991 ◽  
Vol 276 (1) ◽  
pp. 231-236 ◽  
Author(s):  
N V Torres ◽  
J Sicilia ◽  
E Meléndez-Hevia
Keyword(s):  
Steady State ◽  
Biological Significance ◽  
Transient State ◽  
Steady States ◽  
Transition Time ◽  
Enzyme Assays ◽  
Progress Curve ◽  
Metabolic Systems ◽  
Transition Times

In this paper we study the transitions between steady states in metabolic systems. In order to deal with this task we divided the total metabolite concentration at steady state, sigma, into two new fractions, delta (the Output Transition Time) and tau beta (Input Transition Time), which are related with the course of output and input mass to the system respectively. We show the equivalence time between these terms and the Total Transition Time, tau T, previously defined [Easterby (1986) Biochem. J. 233, 871-875]. Next, we define a new magnitude, the Output Passivity of a transition, rho, which quantifies a new aspect of the transition phase that we call the passivity of the output progress curve. With these magnitudes, all of them being experimentally accessible, several features of the transient state can be measured. We apply the present analysis to (a) the case of coupled enzyme assays, which allows us to reach conclusions about the progress curves in these particular transitions and the equivalence between tau sigma and tau delta, and (b) some experimental results that allow us to discuss the biological significance of the Output Passivity in the transition between steady states in metabolic systems.

Heat Conduction in Unsteady, Periodic, and Steady States in Laminated Composites

1980 ◽  
Vol 102 (4) ◽  
pp. 742-748 ◽  
Author(s):  
S. C. Huang ◽  
Y. P. Chang
Keyword(s):  
Heat Conduction ◽  
Analytical Solutions ◽  
Green's Functions ◽  
Green’S Functions ◽  
Laminated Composites ◽  
Steady States ◽  
Number Of Layers

This paper provides analytical solutions for heat conduction in composites of infinite, semi-infinite, and finite laminates in unsteady, periodic, and steady states. For compactness and generality, Green’s functions are used. The method of analysis applies for composites of any number of layers, but only solutions for two material composites are presented in this paper. Some calculated results of an example in steady and periodic states are shown and discussed.

scholarly journals Non-Fourier heat conduction study for steady states in metallic nanofilms

2012 ◽  
Vol 57 (24) ◽  
pp. 3239-3243 ◽  
Author(s):  
HaiDong Wang ◽  
JinHui Liu ◽  
ZengYuan Guo ◽  
Koji Takahashi
Keyword(s):  
Heat Conduction ◽  
Steady States ◽  
Fourier Heat Conduction

On Heat Conduction in Highly Rarefied Air

1881 ◽  
Vol 11 (270supp) ◽  
pp. 4307-4307
Author(s):  
William Crookes
Keyword(s):  
Heat Conduction
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