scholarly journals Two-dimensional phonon hydrodynamics in narrow strips

2015 ◽  
Vol 471 (2182) ◽  
pp. 20150376 ◽  
Author(s):  
A. Sellitto ◽  
I. Carlomagno ◽  
D. Jou
Keyword(s):  
Heat Flow ◽  
Heat Transport ◽  
Knudsen Number ◽  
Slip Flow ◽  
Transport Equations ◽  
Two Dimensional ◽  
Non Local

Heat flow along two-dimensional strips as a function of the Knudsen number is examined in two different versions of heat-transport equations with non-local terms, with or without heat slip flow. In both of them, a parabolic heat profile corresponding to the Poiseuille phonon flow may appear in some domains of temperature, or of the Knudsen number, in the transition from the Fourier regime to the ballistic one. The influence of the slip heat flow on such a transition is discussed.

Fully discrete Tau solution for some types of non-local heat transport equations

2017 ◽  
Vol 97 (12) ◽  
pp. 2142-2156
Author(s):  
Malihe Shaban ◽  
Saeed Kazem ◽  
Elyas Shivanian
Keyword(s):  
Heat Transport ◽  
Local Heat ◽  
Transport Equations ◽  
Fully Discrete ◽  
Non Local

Diffusive-Ballistic Heat Transport in a Two-Dimensional Square Plate Using Energy Conserving Dissipative Particle Dynamics

2013 ◽  
Author(s):  
Toru Yamada ◽  
Keunhan Park ◽  
Yutaka Asako ◽  
Mohammad Faghri ◽  
Bengt Sundén
Keyword(s):  
Heat Transport ◽  
Knudsen Number ◽  
Dissipative Particle Dynamics ◽  
Mean Free Path ◽  
Particle Dynamics ◽  
Two Dimensional ◽  
Solution Domain ◽  
Energy Conserving ◽  
Cutoff Radius ◽  
Square Plate

Diffusive-ballistic heat transport in a two-dimensional square plate was simulated using energy conserving dissipative particle dynamics (DPDe). The solution domain was considered to be a two-dimensional square plate surrounded by walls at constant temperatures, where DPD particles are uniformly distributed. The effects of phonon mean free path was incorporated by its relation to the cutoff radius of energy interaction. This cutoff radius was obtained based on Knudsen number (Kn) using the existing phonon-boundary scattering models. The simulations for 0.1 < Kn < 10 were conducted with different modifications of the cutoff radius. The results are presented in form of temperature distributions in the solution domain and the effect of Knudsen number is discussed.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional

Terrestrial heat flow at Eldorado, Saskatchewan

1969 ◽  
Vol 6 (5) ◽  
pp. 1191-1197 ◽  
Author(s):  
Trevor Lewis
Keyword(s):  
Heat Flow ◽  
Climatic Changes ◽  
Two Dimensional ◽  
Conductivity Model ◽  
Terrestrial Heat Flow

A heat flow of 1.2 ±.1 μcal cm−2s−1 has been measured in a mine at Eldorado, Saskatchewan. The uncertainties in the correction to this value for climatic changes caused by the most recent glaciation are a minimum at the depth at which this measurement was made. A terrestrial heat flow value, representative of the area, was obtained by using a two-dimensional conductivity model of the mine; this value is 1.3 ±.1 μcal cm−2s−1.

Computational models of filtration gas combustion

2017 ◽  
Vol 32 (2) ◽  
Author(s):  
Yuri M. Laevsky ◽  
Tatyana A. Nosova
Keyword(s):  
Heat Flow ◽  
Numerical Experiments ◽  
Computational Models ◽  
Two Dimensional ◽  
Multidimensional Model ◽  
Gas Combustion ◽  
Total Enthalpy ◽  
Diffusive Flow ◽  
Temperature Heat ◽  
The One

AbstractA multidimensional model of filtration gas combustion is presented. The model is based on the system of conservation laws of ‘temperature – heat flow’, ‘mass–diffusive flow’ types with introducing the concept of total enthalpy flow. Results of numerical experiments are presented for the one- and two-dimensional problems for different conditions and parameters.

Laminar Forced Convection in Annular Microchannels With Slip Flow Regime

2009 ◽  
Author(s):  
Arman Sadeghi ◽  
Abolhassan Asgarshamsi ◽  
Mohammad Hassan Saidi
Keyword(s):  
Nusselt Number ◽  
Fluid Flow ◽  
Aspect Ratio ◽  
Boundary Conditions ◽  
Knudsen Number ◽  
Gas Flow ◽  
Slip Flow ◽  
Outer Wall ◽  
Graphical Form ◽  
Uniform Temperature

Fluid flow and heat transfer at microscale have attracted an important research interest in recent years due to the rapid development of microelectromechanical systems (MEMS). Fluid flow in microdevices has some characteristics which one of them is rarefaction effect related with gas flow. In this research, hydrodynamically and thermally fully developed laminar rarefied gas flow in annular microducts is studied using slip flow boundary conditions. Two different cases of the thermal boundary conditions are considered, namely: uniform temperature at the outer wall and adiabatic inner wall (Case A) and uniform temperature at the inner wall and adiabatic outer wall (Case B). Using the previously obtained velocity distribution, energy conservation equation subjected to relevant boundary conditions is numerically solved using fourth order Runge-Kutta method. The Nusselt number values are presented in graphical form as well as tabular form. It is realized that for the case A increasing aspect ratio results in increasing the Nusselt number, while the opposite is true for the case B. The effect of aspect ratio on Nusselt number is more notable at smaller values of Knudsen number, while its effect becomes slighter at large Knudsen numbers. Also increasing Knudsen number leads to smaller values of Nusselt number for the both cases.

Reply to D. D. Fitts: Transport Equations for Diffusion and Heat Flow

1965 ◽  
Vol 43 (9) ◽  
pp. 3420-3421
Author(s):  
D. T. J. Hurle ◽  
J. B. Mullin ◽  
E. R. Pike
Keyword(s):  
Heat Flow ◽  
Transport Equations
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