Summary
The axisymmetric flow of a homogeneous Oldroyd-B fluid due to the longitudinal and torsional oscillations of an infinite circular rod is studied. At the surface of the rod, suction or injection velocity is applied. The motion and the constitutive equations from a system of P.D.E.s solved numerically. Only in few cases can the numerical results be compared with some known analytical solutions. Numerical experiments show the effect of the non-Newtonian dimensionless parameters on the velocity and on the shear stresses.
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Pontrelli, G. Longitudinal and torsional oscillations of a rod in an Oldroyd-B fluid with suction or injection. Acta Mechanica 123, 57–68 (1997). https://doi.org/10.1007/BF01178400
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DOI: https://doi.org/10.1007/BF01178400