SIMPLE METHODS OF ENGINEERING CALCULATIONS FOR SOLVING TRANSFER PROBLEMS OF MULTI – SUBSTANCES IN HORIZONTAL LAYER
DOI:
https://doi.org/10.17770/etr2005vol1.2132Keywords:
2-D heat transfer problem, finite – volume method, finite – difference scheme, diffusion of heat and moistureAbstract
We consider the simple algorithms in the modelling of the transfer problem of different substances (concentration, heat, moisture, and e. c.) in plate. The approximations of corresponding initial – boundary value problem of the system of the partial differential equations (PDE) is based on the finite volume method. This procedure allows one to reduce the 2-D transfer problem described by a PDE to initial value problem for a system of ordinary differential equations (ODE) of the first or second order. In the stationary case the exact finite – difference vector scheme is obtained.
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References
Crank, J. The mathematics of diffusion, Oxford, Clarendon Press, 1956, p. 303 – 325.
Kalis, H. Effective finite-difference scheme for solving some heat transfer problems with convection in multilayer media. International Journal of Heat and Mass Transfer 43 2000, p.4467-4474.
Kalis, H., Kangro, I. The methods of engineering calculation heat transfer process through one layer for numerical modelling. Proc. Of the Int. conf.: ‘’Integration problems of the Baltic sea region countries on their way to the European Union’’, March 2-3, 2000, Rēzekne, 2000, p.44-50.
Kalis, H., Kangro, I. Simulation of the heat transport problems with radiation in p late. In.: Proc. Of the Int. conf.: “Environment, technology, resources’’, Rezekne, June 19-21, 2001, p.273-279.
Kalis, H., Kangro, I. Simple algorithm’s for the calculation of heat transport problem in p late. In.:R. Čieg is (ed.) MATHEMATICAL MODELLING AND ANALYSIS, Vol.6 Nr.1, Vilnius, 2001, p.85-96.
Kalis, H., Kangro, I. Design procedure of distribution of temperatures in the three-layer environment. In.: Proc. Of the Int. conf.: ‘’Traditions and innovations in sustainable development of society’’, Rezekne, February 28-March 2, 2002, p.176-186.
Kalis, H., Kangro, I. Simple methods of engineering calculation for solving heat transfer problems. In.: R. Čiegis (ed.) MATHEMATICA L MODELLING AND ANA LYSIS, Vol.8 Nr.1, Vilnius, 2003, p.33-42.
Kalis, H., Kangro I. Promotion of accuracy engineering – technical calculations of heat transfer in two layer environment. In.: Proc. of the Int. conf.: ‘’Scientific Achievements for Wellbeing and Development of Society – Enabling Environment for Society Wellbeing’’, Rēzekne, March 4-5, 2004, Rēzeknes Augstskola, p.91-98.
Васильев П. П. Безопасность жизнедеятельности. М.: ЮНИТИ, 2003, с.120-129.
Семенченко Б.А. Физическая метеорология. М.: Аспект Пресс, 2002, с.156-196.
