scholarly journals Homogenization of a thermal problem with flux jump

2016 ◽  
Vol 11 (4) ◽  
pp. 545-562 ◽  
Author(s):  
Renata Bunoiu ◽  
Claudia Timofte
Keyword(s):  
2018 ◽  
Author(s):  
Sébastien Grosjean ◽  
Frédéric Joly ◽  
Karine Vera ◽  
Alain Neveu ◽  
Eric Monier-Vinard
Keyword(s):  

1937 ◽  
Vol 33 (3) ◽  
pp. 340-343
Author(s):  
Joseph Larmor

In an excursus developing a modern view of the Carnot-Kelvin aspect of thermodynamics, appended recently to the letters from Clerk Maxwell to his friend W. Thomson reporting the early tentative evolution of the theory of the electro-dynamic field, the account presented by the writer stopped short at putting emphasis on the mystery of temperature, as a unique and supremely significant property of matter in bulk, with its trend to uniformity as presenting the basic thermal problem. The side of the subject involving dynamical analogy was there absent from the development, which was purely formal. It may be well, however, now to offer some general notions such as may be put on record, which arise naturally from that mode of approach to the subject.


Author(s):  
Zhengwei Song ◽  
Yongliang Wang ◽  
Guofeng Zhang ◽  
Longqing Qiu ◽  
Jun Wu ◽  
...  

1997 ◽  
Vol 7 (2) ◽  
pp. 1524-1528 ◽  
Author(s):  
C.G. King ◽  
D.A. Grey ◽  
A. Mantone ◽  
Bu-Xin Xu ◽  
M.L. Murray ◽  
...  
Keyword(s):  

2021 ◽  
Vol 13 (5) ◽  
pp. 168781402110178
Author(s):  
Jianhui Tian ◽  
Guoquan Jing ◽  
Xingben Han ◽  
Guangchu Hu ◽  
Shilin Huo

The thermal problem of functionally graded materials (FGM) under linear heat source is studied by a hybrid numerical method. The accuracy of the analytical method and the efficiency of the finite element method are taken into account. The volume fraction of FGM in the thickness direction can be changed by changing the gradient parameters. Based on the weighted residual method, the heat conduction equation under the third boundary condition is established. The temperature distribution of FGM under the action of linear heat source is obtained by Fourier transform. The results show that the closer to the heat source it is, the greater the influence of the heat source is and the influence of the heat source is local. The temperature change trend of the observation points is consistent with the heat source, showing a linear change. The results also show that the higher the value of gradient parameter is, the higher the temperature of location point is. The temperature distribution of observation points is positively correlated with gradient parameter. When the gradient parameter value exceeds a certain value, it has a little effect on the temperature change in the model and the heat conduction in the model tends to be pure metal heat conduction, the optimal gradient parameters combined the thermal insulation property of ceramics and the high strength toughness of metals are obtained.


1975 ◽  
Vol 97 (2) ◽  
pp. 303-310 ◽  
Author(s):  
D. S. Kodnir ◽  
R. G. Salukvadze ◽  
D. L. Bakashvili ◽  
V. Sh. Schwartzman

An approximate solution of the stationary isothermal elastohydrodynamic problem has been obtained for a Ree Eyring fluid model also the solution’s algorithm is described for a non Newtonian fluid of an arbitrary model. The solution has been obtained for the complex hydrodynamic and thermal problem for the lubricant film of a non Newtonian fluid with its specified thickness and with a relative surface slip. The diagrams have been made for velocities, temperatures, and tangential stresses in the lubricant film. The solution enables the direct estimation of the tangential stress reduction caused by the non Newtonian fluid’s behavior as well as by the nonisothermal process by means of known theological properties (Newtonian viscosity and time of relaxation) with selected values of pressure and temperature as well as with a given velocity of slip, and with the help of simple nomograms.


2006 ◽  
Vol 129 (6) ◽  
pp. 1035-1044 ◽  
Author(s):  
A. J. Birnbaum ◽  
P. Cheng ◽  
Y. L. Yao

Although considerable effort has gone into characterizing the laser forming process in terms of process parameters and conditions, there has been little emphasis on the effects of the mechanical and thermal constraints introduced by the clamping method utilized for a desired application. This research suggests means for investigating and predicting the resulting geometry of a specimen due to laser operation in close proximity to an array of imposed thermo-mechanical constraints for both the single and multiple scan cases; specifically, the resulting average bending angle as well as bending angle variations throughout the part. This is accomplished by initially only considering these effects on the thermal field. Conclusions are then drawn about the nature of the mechanical effects. These conclusions are validated through numerical simulation as well as physical experimentation. An analytical solution of the thermal problem is also presented for further validation of the temperature field as a constrained edge is approached.


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