Abstract
The velocity field in the annular region between two eccentric cylinders for a second-order fluid is determined. Second-order velocity terms appear only as a result of the interaction between imposed axial and planar motions. When only one of the two motions is imposed by the boundary conditions, the velocity field coincides with that of a Navier-Stokes fluid.
The results of the present study are to be used in a future investigation of the stresses, forces, and torques acting on the walls of the cylinders to enable a rheometer based on the present boundary value problem to be suggested.
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Zidan, M., Abu-El Hassan, A. Flow of a viscoelastic fluid between eccentric cylinders. Rheol Acta 24, 127–133 (1985). https://doi.org/10.1007/BF01333239
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DOI: https://doi.org/10.1007/BF01333239