Abstract
AbstractThe response due to an axisymmetric time‐fluctuating temperature distribution applied at the free liquid surface of a viscoelastic cylindrical liquid column has been determined analytically. The amplitudes of the radial and axial velocity distributions as well as the free surface elevation have been presented as functions of the “reduced” forcing frequency of the oscillatory temperature and have numerically been evaluated for an axial sinusoidal temperature field for various surface‐tension parameters τ * v/v2, relaxation time parameters τ * v/v2 and axial wave number parameters ka. It was found, that visco‐elasticity as described by the Maxwell model has quite some influence upon the liquid motion. It shows for smaller relaxation more viscous, for larger relaxation times more elastic behavior. Larger relaxation time parameter exhibits increased amplitudes and fluctuating response behavior of the liquid. In addition there is a deflection of the liquid surface for vanishing oscillatory temperature frequency Ω. This means, that in the steadystate the surface is already deflected.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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