Nonlocal unique solvability of a steady-state problem of complex heat transfer

2016 ◽  
Vol 56 (5) ◽  
pp. 802-809 ◽  
Author(s):  
A. E. Kovtanyuk ◽  
A. Yu. Chebotarev
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Unique Solvability ◽  
State Problem ◽  
Complex Heat Transfer ◽  
Steady State Problem

Inhomogeneous steady-state problem of complex heat transfer

2017 ◽  
Vol 51 (6) ◽  
pp. 2511-2519 ◽  
Author(s):  
Alexander Yu. Chebotarev ◽  
Gleb V. Grenkin ◽  
Andrey E. Kovtanyuk
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
State Problem ◽  
Complex Heat Transfer ◽  
Steady State Problem

scholarly journals Comparison of Exact Solutions for Heat Transfer in Extended Surfaces of Different Geometries

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
K. J. Moleofane ◽  
R. J. Moitsheki
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Exact Solutions ◽  
Spherical Geometry ◽  
State Problem ◽  
Fin Efficiency ◽  
Extended Surfaces ◽  
Steady State Problem ◽  
The Heat Transfer Coefficient ◽  
Fin Length

We consider a steady state problem for heat transfer in fins of various geometries, namely, rectangular, radial, and spherical. The nonlinear steady state problem is linearizable provided that the thermal conductivity is the differential consequence of the term involving the heat transfer coefficient. As such, one is able to construct exact solutions. On the other hand, we employ the Lie point symmetry methods when the problem is not linearizable. Some interesting results are obtained and analyzed. The effects of the parameters such as thermogeometric fin parameter and the exponent on temperature are studied. Furthermore, fin efficiency and heat flux along the fin length of a spherical geometry are also studied.

Unique solvability of a steady-state complex heat transfer model

2015 ◽  
Vol 20 (3) ◽  
pp. 776-784 ◽  
Author(s):  
Andrey E. Kovtanyuk ◽  
Alexander Yu. Chebotarev ◽  
Nikolai D. Botkin ◽  
Karl-Heinz Hoffmann
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Unique Solvability ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Complex Heat Transfer
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