Abstract
An analytical solution to a 2D nonstationary heat conduction equation at second-kind boundary conditions modeling the conductive regime of free convection has been obtained by using a method of successive use of integral Hankel and Laplace transforms.
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Moiseyeva, L.A. And Cherkasov, S. G., Stationary Free-Convective Heat Exchange in a Cylindrical Reservoir at Uniform Heat Supply and Simultaneous Heat Abstraction through Local Sinks, Teplofizika Vysokikh Temperatur, 1997, vol.35, no. 4, pp.564–569.
Lykov, A.V., Teoriya Teploprovodnosti (Theory of Heat Conductivity), Moscow: Vysshaya Shkola, 1967.
Karslou, G. and Eger, D., Teploprovodnost’Tverdykh Tel (Thermal Conductivity of Solids), Moscow: Nauka, 1964.
Kozlov, V.P., Dvumernye Osesimmetrichnye Nestatsionarnye Zadachi Teploprovodnosti (Two-Dimensional Axisymmetric Nonstationary Heat Conduction Problems), Minsk: Nauka i Tekhnika, 1986.
Lykov, A.V., Teplomassoobmen (Heat-Mass Exchange), Reference Book, Moscow: Energiya, 1978.
Belyakov, V.P., Kriogennaya Tekhnika i Tekhnologiya (Cryogenic Tools and Technology), Moscow: Energoizdat, 1982.
Ryazhskikh, V.I., Boger, A.A., Slyusarev, M.I., and Zaitsev, V.A., A Computational Experiment on the Identification of Main Heat Exchange Parameters at the Storage of Liquid Hydrogen, Vestnik VGTU, Energetika, 2002, issue 7.2, pp.12–16.
Tranter, K.J., Integral’nye Preobrazovaniya v Matematicheskoi Fizike (Integral Transforms in Mathematical Physics), Moscow: Gostekhizdat, 1956.
Dech, G., Rukovodstvo k Prakticheskomu Primeneniyu Preobrazovanii Laplasa (Handbook on Practical Use of Laplace Transforms), Moscow: Fizmatigiz, 1971.
Belyayev, N.M., Ryadno, A.A., Metody Teorii Teploprovodnosti (Methods of Heat Conductivity Theory), Moscow: Vysshaya Shkola, 1982.
Yushkov, P.P., Funktsii Besselya i ikh Primenenie k Zadacham ob Okhlazhdenii Tsilindra (Bessel Functions and their Application to Problems of Cylinder Cooling), Minsk: Izd. Akad. Nauk BSSR, 1962.
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Ryazhskikh, V.I., Slyusarev, M.I., Boger, A.A. et al. Conductive regime of free convection in a bounded cylinder at second-kind boundary conditions. J. Engin. Thermophys. 16, 36–39 (2007). https://doi.org/10.1134/S1810232807010055
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DOI: https://doi.org/10.1134/S1810232807010055