Temperature profiles in solid state lasers with variable thermal conductivity and heat deposition

1993 ◽  
Author(s):  
George A. Thompson ◽  
Aldo Steinfeld
2018 ◽  
Vol 7 (2.23) ◽  
pp. 228 ◽  
Author(s):  
Ramoshweu S. Lebelo ◽  
Kholeka C. Moloi

This article investigates the transfer of heat in a stockpile of reactive materials, that is assumed to lose heat to the environment by radiation. The study is modeled in a rectangular slab whose materials are of variable thermal conductivity. The stockpile’s reactive material in this context is one that readily reacts with the oxygen trapped within the stockpile due to exothermic chemical reaction. The study of the combustion process in this case is conducted theoretically by using the Mathematical approach. The differential equation governing the problem is tackled numerically by applying the Runge-Kutta Fehlberg (RKF45) method coupled with the Shooting technique. To investigate the heat transfer phenomena, some kinetic parameters embedded in the governing differential equation, are varied to observe the behavior of the temperature profiles during the combustion process. The results obtained from the temperature profiles, are depicted graphically and discussed accordingly. It was discovered that kinetic phenomena such as the reaction rate parameter, accelerates the exothermic chemical reaction. However, the radiation parameter decelerates the exothermic chemical reaction by lowering the temperature profiles.  


1982 ◽  
Vol 60 (2) ◽  
pp. 165-167 ◽  
Author(s):  
Avygdor Moise ◽  
Huw O. Pritchard

Numerical solutions are presented for the case of a thermal explosion in a sphere, in which the thermal conductivity varies linearly with temperature. The behaviour of the critical temperature profiles and of the other critical parameters for variations in the thermal conductivity are demonstrated.


2006 ◽  
Vol 128 (5) ◽  
pp. 1115-1121 ◽  
Author(s):  
Asterios Pantokratoras

A theoretical study of the effect of variable viscosity and variable thermal conductivity on the classical plane Couette-Poiseuille flow is presented in this brief communication. The investigation concerns engine oil, air, and water taking into account the variation of these quantities with temperature. The results are obtained with the numerical simulation of the governing equations and cover large temperature differences. Velocity and temperature profiles are presented as well as the volume flow rate and the heat flux between the plates. It is found that temperature profiles are close to the straight line for oil and water and depart significantly from the straight line for air due to nonlinear thermal conductivity. Dynamic viscosity plays an important role on the results which depart significantly from those of a fluid with constant properties.


2004 ◽  
Vol 61 (3) ◽  
pp. 256-271
Author(s):  
G. P. Kovalenko ◽  
S. V. Kolomiets

Author(s):  
Friedhelm Dorsch ◽  
John L. Hostetler ◽  
Ulrich Bonna ◽  
Greg W. Charache ◽  
Ching-Long Jiang ◽  
...  

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