Gradient generalization to the extended thermodynamic approach and diffusive-hyperbolic heat conduction

2007 ◽  
Vol 400 (1-2) ◽  
pp. 257-265 ◽  
Author(s):  
V.A. Cimmelli ◽  
K. Frischmuth
Keyword(s):  
Heat Conduction ◽  
Thermodynamic Approach ◽  
Hyperbolic Heat Conduction ◽  
Extended Thermodynamic

Hyperbolic heat conduction due to axisymmetric continuous or pulsed surface heat sources

1990 ◽  
Vol 68 (11) ◽  
pp. 5478-5485 ◽  
Author(s):  
W. S. Kim ◽  
L. G. Hector ◽  
M. N. Özisik
Keyword(s):  
Heat Conduction ◽  
Surface Heat ◽  
Hyperbolic Heat Conduction ◽  
Heat Sources

Extended Thermodynamic Approach to Ion Interaction Chromatography

2001 ◽  
Vol 73 (11) ◽  
pp. 2632-2639 ◽  
Author(s):  
T. Cecchi ◽  
F. Pucciarelli ◽  
P. Passamonti
Keyword(s):  
Thermodynamic Approach ◽  
Extended Thermodynamic

Transient Heat Transfer in Microscale Porous Materials Heated by Microsecond Laser Pulse of High Power Density

2002 ◽  
Author(s):  
Fangming Jiang ◽  
Dengying Liu ◽  
Jim S.-J. Chen ◽  
Richard S. Cohen
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Laser Pulse ◽  
Power Density ◽  
High Power ◽  
Hyperbolic Model ◽  
Transient Temperature ◽  
Hyperbolic Heat Conduction ◽  
High Power Density ◽  
High Heat Transfer

A novel experimental method was developed to measure the rapid transient temperature variations (heating rate > 107 K/s) of porous samples heated by high surface heat fluxes. With a thin film (0.1 μm thick) resistance thermometer of platinum as the temperature sensor and a super-high speed digital oscilloscope (up to 100 MHz) as the data recorder, rapid transient temperature variation in a porous material heated by a microsecond laser pulse of high power density is measured. Experimental results indicate that for high heat transfer cases (q′ > 109 W/m2) with short durations (5 – 20 μs) of heating, non-Fourier heat conduction behaviors appear. The non-Fourier hyperbolic heat conduction model and the traditional Fourier parabolic model are employed to simulate this thermal case respectively and the FDM is used to perform the numerical analysis. The hyperbolic model predicts thermal wave behavior in qualitative agreement with the experimental data.

Extended Thermodynamic Approach for Non-Equilibrium Gas Flow

2013 ◽  
Vol 13 (5) ◽  
pp. 1330-1356 ◽  
Author(s):  
G. H. Tang ◽  
G. X. Zhai ◽  
W. Q. Tao ◽  
X. J. Gu ◽  
D. R. Emerson
Keyword(s):  
Heat Transfer ◽  
Equilibrium State ◽  
Gas Flow ◽  
Rarefied Gas ◽  
Flow Characteristics ◽  
Bimodal Distribution ◽  
Thermodynamic Approach ◽  
Navier Stokes ◽  
Extended Thermodynamic ◽  
Non Equilibrium

AbstractGases in microfluidic structures or devices are often in a non-equilibrium state. The conventional thermodynamic models for fluids and heat transfer break down and the Navier-Stokes-Fourier equations are no longer accurate or valid. In this paper, the extended thermodynamic approach is employed to study the rarefied gas flow in microstructures, including the heat transfer between a parallel channel andpressure-driven Poiseuille flows through a parallel microchannel andcircular microtube. The gas flow characteristics are studied and it is shown that the heat transfer in the non-equilibrium state no longer obeys the Fourier gradient transport law. In addition, the bimodal distribution of streamwise and spanwise velocity and temperature through a long circular microtube is captured for the first time.

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