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On a class of exact solutions of the equations of motion of a second-grade fluid. (English) Zbl 0992.76006

Summary: By means of Fourier sine transform, we determine the velocity field corresponding to a flow over a suddenly moved flat plate in a second-grade fluid. We also present the adequate solution for Rayleigh-Stokes problem for the edge.

MSC:

76A05 Non-Newtonian fluids
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References:

[1] Zierep, J.: Similarity laws and modeling. New York: Marcel Dekker 1971. · Zbl 0223.76017
[2] Zierep, J.: Das Rayleigh-Stokes Problem für die Ecke. Acta Mech.34, 161–165 (1979). · Zbl 0432.76031
[3] Truesdell, C., Noll, W.: The nonlinear field theories of mechanics. Encyclopedia of Physics, vol III/3. Berlin Heidelberg New York: Springer 1965. · Zbl 0779.73004
[4] Sneddon, I. N.: Functional analysis. Encyclopedia of Physics, vol II. Berlin Göttingen Heidelberg: Springer 1955.
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