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Conservation of energy of non-Newtonian media for the Rayleigh–Stokes problem

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Abstract

The energetic balance of the Rayleigh–Stokes problem for Newtonian-, second grade- and Maxwell fluids is studied for different initial and boundary conditions. We get the solutions of the differential equations by Fourier sine transform or by series expansion. The result for the kinetic energy E kin, the dissipation Φ and the power of the shear stresses at the wall L are important for nature and technology.

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Authors and Affiliations

  1. Institut für Strömungslehre, Universität Karlsruhe, Kaiserstr.12, 76128, Karlsruhe, Germany

    J. Zierep & R. Bohning

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  1. J. Zierep
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  2. R. Bohning
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Correspondence to R. Bohning.

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Dedicated to Professor Wilhelm Schneider on the occasion of his 70th birthday

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Zierep, J., Bohning, R. Conservation of energy of non-Newtonian media for the Rayleigh–Stokes problem. Acta Mech 201, 5–11 (2008). https://doi.org/10.1007/s00707-008-0067-x

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  • DOI: https://doi.org/10.1007/s00707-008-0067-x

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