Accounting Viscous Dissipation at Round Tubes Filling

Abstract:

The fountain nonisothermal flow of a viscous fluid realized during circular pipe filling is investigated. The mathematical basis of the process is formed by equations of motion, continuity and energy with respective initial and boundary conditions with due account of the temperature dependence of viscosity, the presence of a free boundary and dissipation of mechanical energy. To solve the problem numerically a finite difference method is required. Depending on the values defining the dimensionless parameters the results of parametric studies in temperature, viscosity, dynamic and kinematic characteristics of the flow are shown. Flow patterns for the formulation of problems with different initial and boundary conditions are given. The separation of flow into the zone of spatial flow in the vicinity of the free surface and one dimensional flow away from it, and changing the shape of the free boundary, depending on the level of dissipative heating are demonstrated.

• Periodical: Key Engineering Materials (Volume 685)
• Pages: 191-194
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.685.191
• Online since: February 2016
• Authors: Evgeny Borzenko, O.Yu. Frolov, G.R. Shrager
• Keywords: Calculation Data, Filling, Fountain Flow, Free Boundary, Viscous Dissipation

References

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