Temperature profile and equipartition law in a Langevin harmonic chain

2017 ◽  
Vol 71 (5) ◽  
pp. 264-268
Author(s):  
Sangrak Kim
Keyword(s):  
Temperature Profile ◽  
Equipartition Law ◽  
Harmonic Chain

Anharmonicity Dependent Heat Conduction in One-Dimensional Lattices

2013 ◽  
Vol 209 ◽  
pp. 129-132 ◽  
Author(s):  
Shreya Shah ◽  
Tejal N. Shah ◽  
P.N. Gajjar
Keyword(s):  
Thermal Conductivity ◽  
Numerical Simulation ◽  
Heat Flux ◽  
Heat Conduction ◽  
Temperature Gradient ◽  
Temperature Profile ◽  
Chain Length ◽  
Interparticle Interactions ◽  
One Dimensional ◽  
Harmonic Chain

The temperature profile, heat flux and thermal conductivity are investigated for the chain length of 67 one-dimensional (1-D) oscillators. FPU-β and FK models are used for interparticle interactions and substrate interactions, respectively. As harmonic chain does not produce temperature gradient along the chain, it is required to introduce anharmonicity in the numerical simulation. The anharmonicity dependent temperature profile, thermal conductivity and heat flux are simulated for different strength of anharmonicity β = 0, 0.1, 0.3, 0.5, 0.7, 0.9 and 1. It is concluded that heat flux obeys J = 0.3947 e0.553β with R2 = 0.9319 and thermal conductivity obeys κ = 0.0276 e0.5559β with R2 = 0.9319.

Control Algorithms for Inductors Movement in Induction Heated Calenders

2012 ◽  
Vol 17 (4) ◽  
pp. 51-57
Author(s):  
Andrzej Frązyk ◽  
Piotr Urbanek ◽  
Jacek Kucharski
Keyword(s):  
Temperature Profile ◽  
Induction Heating ◽  
Control Algorithms ◽  
Uniform Temperature ◽  
Cylinder Axis ◽  
Steel Cylinder ◽  
Modern Technologies ◽  
Temperature Amplitude

Abstract Fixed, placed at regular distances inductors for induction heating of a rotating steel cylinder do not provide sufficiently uniform temperature profile along cylinder axis required by modern technologies,. The article examines the influence of inductors movement along the cylinder axis on the reduction of pick-to- pick temperature amplitude.

Fiber energy efficiency Part I: Extended entropy model

2014 ◽  
Vol 29 (2) ◽  
pp. 322-331 ◽  
Author(s):  
Anders Karlström ◽  
Karin Eriksson
Keyword(s):  
Energy Efficiency ◽  
Temperature Profile ◽  
Dynamic Models ◽  
Fluid Dynamic ◽  
Multiscale Model ◽  
Process Conditions ◽  
Entropy Model ◽  
Refining Zone ◽  
Energy Balances ◽  
Flat Zone

Abstract This is the first in a series of papers presenting the development of a comprehensive multiscale model with focus on fiber energy efficiency in thermo mechanical pulp processes. The fiber energy efficiency is related to the defibration and fibrillation work obtained when fibers and fiber bundles interact with the refining bars. The fiber energy efficiency differs from the total refining energy efficiency which includes the thermodynamical work as well. Extracting defibration and fibrillation work along the radius in the refining zone gives information valuable for fiber development studies.Models for this process must handle physical variables as well as machine specific parameters at different scales. To span the material and energy balances, spatial measurements from the refining zone must be available. In this paper, measurements of temperature profile and plate gaps from a full-scale CD-refiner are considered as model inputs together with a number of process variables. This enables the distributed consistency in the refining zone as well as the split of the total work between the flat zone and the CD-zone to be derived. As the temperature profile and the plate gap are available in the flat zone and the CD-zone at different process conditions it is also shown that the distributed pulp dynamic viscosity can be obtained. This is normally unknown in refining processes but certainly useful for all fluid dynamic models describing the bar-to-fiber interactions. Finally, it is shown that the inclusion of the machine parameters will be vital to get good estimates of the refining conditions and especially the split between the thermodynamical work and the defibration/fibrillation work.

Temperature-Profile Methods for Estimating Percolation Rates in Arid Environments

2003 ◽  
Vol 2 (1) ◽  
pp. 12 ◽  
Author(s):  
Jim Constantz ◽  
Scott W. Tyler ◽  
Edward Kwicklis
Keyword(s):  
Temperature Profile ◽  
Arid Environments
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