Abstract:
With the help of thermal balance integrated method and on the basis of introduction of temperature indignation front the analytical decision of a problem of non-stationary heat conductivity is obtained under boundary conditions of the third kind with variable in time factor of heat return. Graphs of isotherms distribution and velocity of their movement are constructed. In order to provide for the accuracy of the solution the additional boundary conditions defined from initial differential equation and basic boundary conditions, including the data obtained at the front of temperature indignation are entered.
Keywords:
integral methods, analytical solutions, front of temperature perturbation, additional boundary conditions, isotherms, speeds of movement of isotherms.
Original article submitted 19/IV/2008 revision submitted – 26/IX/2008
Citation:
E. V. Stefanyuk, V. A. Kudinov, “Heat conduction problem analytical solution at time dependent heat transfer coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 171–184
\Bibitem{SteKud08}
\by E.~V.~Stefanyuk, V.~A.~Kudinov
\paper Heat conduction problem analytical solution at time dependent heat transfer coefficients
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2008
\vol 2(17)
\pages 171--184
\mathnet{http://mi.mathnet.ru/vsgtu521}
\crossref{https://doi.org/10.14498/vsgtu521}
Linking options:
https://www.mathnet.ru/eng/vsgtu521
https://www.mathnet.ru/eng/vsgtu/v117/p171
This publication is cited in the following 2 articles:
I. Yu. Butusov, R. A. Kumakov, V. L. Khudikovskii, Yu. N. Perin, “Raschet raspredeleniya temperatury vdol sterzhnya pri nestatsionarnom teploobmene metodom lokalnykh teplovykh potokov”, Nauchn. vestn. Voronezh. gos. arkh.-stroit. un-ta. Stroitelstvo i arkhitektura, 2012, no. 1(25), 50–57
B. V. Averin, “O teplovoi ustoichivosti mnogosloinykh ploskikh stenok pri nagreve vnutrennimi istochnikami, zavisyaschimi ot temperatury”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2(19) (2009), 177–185
Citation in format AMSBIB
Contact us: