Journal of Engineering Physics and Thermophysics
is a translation of Inzhenerno-fizicheskii Zhurnal,
a publication of the Academic Scientific Complex
"A. V. Luikov Heat and Mass Transfer Institute"
of the National Academy of Sciences of Belarus
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APPLICATION OF FOURIER SERIES METHODS AND
INTEGRAL EQUATIONS FOR SOLVING NONSTATIONARY
NONAXISYMMETRIC HEAT CONDUCTION PROBLEMS
FOR BODIES OF REVOLUTION
V. N. Maksimovich and O. A. Tsybul'skii
UDC 539.377
We consider the problem of determining nonstationary
nonaxisymmetric temperature fields in bodies of revolution appearing
on heating by internal heat sources through and due to convective
heat exchange with an external medium. The solution of the problem
is represented in the form of a Fourier series in an angular coordinate
with coefficients being determined by a method of boundary elements.
We consider the general case and particular cases of the nonstationary
nonaxisymmetric heat conduction problem and determine the asymptotic
temperature distributions with a linear variation in time of the heating
medium temperature and with heating by moving heat sources.
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