 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
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| S.I. Kuznetsov, A.V. Manzhirov, and I. Fedotov, "Heat Conduction Problem for a Growing Ball," Mech. Solids. 46 (6), 929-936 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
6 |
Pages |
929-936 |
| DOI |
10.3103/S0025654411060124 |
| Title |
Heat Conduction Problem for a Growing Ball |
| Author(s) |
S.I. Kuznetsov (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005 Russia, k_s_i@bk.ru)
A.V. Manzhirov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, manzh@ipmnet.ru, manzh@inbox.ru)
I. Fedotov (Tshwane University of Technology, P.B. X680, Pretoria, 0001 FIN-40014 South African Republic, fedotovi@tut.ac.za) |
| Abstract |
The present paper studies unsteady temperature fields
in growing bodies of spherical shape. The growth occurs due to constant accretion of layers of constant thickness on the surface of the main body. In the general case, the temperature of the accreted material is different from that of the main body, which causes a heat flow on the accretion surface. The solution of the initial boundary-value problem of heat conduction is sought as an expansion in the complete system of eigenfunctions of the differential operator generated by the problem. |
| Keywords |
growing body, heat conduction, ball, eigenfunctions, expansion, closed solution |
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|
| Received |
18 August 2011 |
| Link to Fulltext |
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