Journal of Applied Mechanics and Technical Physics

, Volume 14, Issue 5, pp 681–685 | Cite as

Spatial localization of thermal perturbations in heating a medium with bulk heat absorption

  • K. B. Pavlov


Solutions are constructed of a type of thermal wave describing stationary and nonstationary heating processes of a medium with constant thermal conducting and with bulk heat absorption.


Mathematical Modeling Thermal Conducting Mechanical Engineer Industrial Mathematic Spatial Localization 
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Literature cited

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    Ya. B. Zel'dovich and A. S. Kompaneets, “Theory of heat propagation with temperature-dependent thermal conductivity,” in: Collection Devoted to A. F. Ioffe's 70th Birthday [in Russian], Izd. AN SSSR (1950), pp. 61–71.Google Scholar
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    L. K. Martinson and K. B. Pavlov, “Propagation of localized thermal perturbations in the theory of nonlinear thermal conductivity,” Zh. Vychislit. Matem. i Matem Fiz.,12, 1048–1053 (1972).Google Scholar
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    K. B. Pavlov, “Nonstationary MHD flow of viscoplastic media in plane channels,” Magnitn. Gidrodinam., No. 4, 35–40 (1972).Google Scholar
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    N. M. Matveev, Integration Methods of Ordinary Differential Equations [in Russian], Vysshaya Shkola, Moscow (1967).Google Scholar
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    G. I. Barenblatt, “Nonstationary motion of liquids and gases in a simple medium,” Prikl. Matem. i Mekhan.,16, No. 1, 67–78 (1952).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • K. B. Pavlov
    • 1
  1. 1.Moscow

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