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Nonstationary Temperature Fields in Piecewise Homogeneous Strips with Regard for the Frictional Heat Generation

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We present an approach to the determination of nonstationary temperature fields in piecewise homogeneous strips under the conditions of convective heat exchange with the medium and heat generations caused by the action of friction forces. We develop an algorithm for the solution of the posed problem based on the use of the Laplace integral transformation and its inversion by the Prudnikov inversion formula adapted to the solution of heat-conduction problems. The nonstationary temperature fields formed in the course of friction of piecewise homogeneous strips are investigated.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    T. Ya. Solyar & O. M. Vovk

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  1. T. Ya. Solyar
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  2. O. M. Vovk
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Correspondence to T. Ya. Solyar.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 62, No. 4, pp. 162–171, October–December, 2019.

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Solyar, T.Y., Vovk, O.M. Nonstationary Temperature Fields in Piecewise Homogeneous Strips with Regard for the Frictional Heat Generation. J Math Sci 265, 539–550 (2022). https://doi.org/10.1007/s10958-022-06069-3

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