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Group classification and invariant solutions for the equations of flow and heat transfer of a viscoplastic medium

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Abstract

Exact solutions without major restrictions on the properties of the material are needed in research on the flow (especially viscosity) of metals at high temperatures under nonisothermal conditions. Often the shear resistance is governed mainly by the temperature and the deformation rate. Here are examined the group properties of the equations of flow and heat transfer of a medium whose shear resistance is a function of temperature and rate of shear deformation. The properties specific to metals are not used, so the results are applicable to a variety of media.

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Leonova, E.A. Group classification and invariant solutions for the equations of flow and heat transfer of a viscoplastic medium. J Appl Mech Tech Phys 7, 1–10 (1966). https://doi.org/10.1007/BF00917647

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Keywords

  • Viscosity
  • Heat Transfer
  • Mathematical Modeling
  • Mechanical Engineer
  • Exact Solution