Analytical Solution of the Viscoelastic Maxwell Equations with a Critical Point in Cylindrical Geometry
C. Chittam, S. V. Meleshko
School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima, Thailand
Keywords: viscoelastic fluid, Maxwell equations, Johnson-Segalman convected derivative, critical point
Abstract
This paper examines two-dimensional flows near a free critical point of an incompressible viscoelastic Maxwell medium using the Johnson-Segalman convected derivative. The flow is assumed to be axisymmetric, and its velocity profile is linear along the axial coordinate. A general exact analytical solution is found for the problem of the distribution of the stress tensor components near the stagnation point.
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