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Article information
2011 , Volume 16, ¹ 4, p.3-18
Bashurov V.V., Vaganova N.A., Filimonov M.Y.
Numerical simulation of thermal conductivity processes with fluid filtration in soil
In this paper we present a new mathematical model for heat transfer from a recessed source (a pipeline with isolating shell). In the model not only effects of radiative transfer, which leads to nonlinear boundary conditions on the ground surface, and amends parameters of the soil where the pipeline lies , but also fluid filtration and evaporation in the wet soil were taken intî account. A finite-difference method for numerical solution of the problem is presented. Solvability of the corresponding finite difference problem with nonlinear boundary condition is proved. Numerical results are presented
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Keywords: heat transfer, filtration in soil, radiative heat transfer
Author(s):
Bashurov Vladimir Vitalyevich
Dr. , Professor
Position: General Scientist
Office: Center for Environmental and technological monitoring
Address: 456080, Russia, Trechgornyi
Phone Office: (35191) 42755
E-mail: VVBashurov@mail.ru
Vaganova Nataliya Anatolijevna
PhD.
Position: Research Scientist
Office: Institute of Mathematics and Mechanics UrB RAS
Address: 620219, Russia, Ekaterinburg, S.Kovalevskaya str., 16
Phone Office: (343)3753509
E-mail: vna@dap.imm.intec.ru
Filimonov Mikhail Yurjevich
Dr. , Senior Scientist
Position: Leading research officer
Office: Institute of Mathematics and Mechanics UrB RAS
Address: 620219, Russia, Ekaterinburg, S.Kovalevskaya str., 16
Phone Office: (343)3753509
E-mail: fmy@imm.uran.ru
Bibliography link:
Bashurov V.V., Vaganova N.A., Filimonov M.Y. Numerical simulation of thermal conductivity processes with fluid filtration in soil // Computational technologies. 2011. V. 16. ¹ 4. P. 3-18
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