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Mathematical modeling of heat transfer of the generalized Neumann boundary value problem of a cylinder which rotates
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UDC: 536.421
Publication Language: Ukrainian
Stuc. intelekt. 2015; 20(3-4):134-140
Abstract: Тhe generalized equation of an energy balance for a driven element of continuum is obtained. As a result of usage of an obtained equation the non-stationary temperature field rotaried with a stationary value by angular rate ω around of an axes OZ empty inside the cylinder was retrieved, in view of final value of speed of heat, as orthogonal numbers(series) on higher transcendental functions.
Keywords: Neumann boundary value problem, integral transformation, relaxation time.
References:
- .Berdnyk M.G.. Mathematical simulation of temperature field in cylinder, taking into account thefinite velocity of propagation of heat//Questions of applied mathematics and mathematicalmodeling. –: RVV DNU,2005 p. 37-44.
- Galitsin A.S., Zhukovsky A.I.Integral transforms and special functions in problems of thermalconductivity/A.S. Galitsin, A.I. Zhukovski.-Kiev, Naukova dumka. 1979-561 with.
- Lakusta, L. V., Timofeev Y.A. Some assessment boundaries the applicability of hyperbolic heatconduction equation/L.V. Lakusta, Y.A. Timofeev.//IFZ-1979, vol. 37-No. 2 p. 366-370
- Podstrigac Y.S., Kolano Y.M. Synthesis of thermal mechanics/Y.S,. Podstrigac ,Y.M. Kolano .-Kiev, Naukova dumka, 1976-310 s.
- Tolstov G.P. Fourier Series/G.P. Tolstov.-M., Science, 1980-384 .