On heat conduction in a periodically layered space with a vertical cylindrical hole

• Autorzy: Matysiak S. J. , Perkowski D. M.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the stationary problems of heat conduction in a periodically layered half-space with cylindrical hole. The lateral surface of the hole is assumed to be kept at zero temperature or be thermally isolated. The boundary plane with circular hole is heated by a given temperature. The problems are solved within the framework of the homogenized model with microlocal parameters [1, 2]. The influences of geometrical and thermal parameters of the composite constituents on temperature and heat flux distributions are investigated.

Słowa kluczowe

EN

heat conductivity; composites

PL

przewodzenie ciepła; kompozyty

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 1
• Strony: 131--145
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Matysiak S. J.

autor

Perkowski D. M.

• Institute of Hydrogeology and Engineering Geology, Faculty of Geology, University of Warsaw, Poland,

Bibliografia

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• [3] Matysiak S.J., On the microlocal parameter method in modelling of periodically layered thermoelastic composites, Journal of Theoretical and Applied Mechanics 1995, 33, 481-487.
• [4] Woźniak C., Woźniak M., Modelowanie w dynamice kompozytów, Teoria i zastosowanie, Prace IPPT PAN 1995, 25.
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• [6] Titchmarsh E.C., Eigenfunction expansion associated with the second order differential equations, Clarendon Press, Oxford 1946.
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• [9] Matysiak S.J., Konieczny S., Yevtushenko A., Distribution of friction heat during cold – rolling of metals by using composite rolls, Numerical Heat Transfer 1998, Part A, 34, 719-729.
• [10] Matysiak S.J., Yevtushenko A.A., Ivanyk E., Temperature field in a microperiodic two – layered composite caused by a circular laser heat source, Heat and Mass Transfer 1998, 34127-133.
• [11] Yevtushenko A.A., Matysiak S.J., Ivanyk E., Influence of periodically layered material structure on the frictional temperature during braking, International Journal of Heat and Mass Transfer 1997, 40, 2115-2122.
• [12] Kulchytsky-Zhyhailo R., Matysiak S.J., On some heat conduction problem in a periodically two-layered body: Comparative results, International Communications in Heat and Mass Transfer 2005, 32 332-340.
• [13] Gradshteyn I.S., Ryzhik I.M., Tables of integrals, series and products, Academic Press, New York 1965.