The impact of viscous dissipation on the flow parameters during round tube filling

The fountain non-isothermal flow of a viscous fluid realized during circular pipe filling is investigated. The mathematical basis of the process is formed by the equations of motion, continuity and energy with respective initial and boundary conditions with due account of the temperature dependence...

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Bibliographic Details
Published in:Acta mechanica 2016-09, Vol.227 (9), p.2609-2623
Main Authors: Borzenko, E. I., Shrager, G. R., Frolov, O. Y.
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Classical and Continuum Physics
Continuity (mathematics)
Control
Dissipation
Dynamical Systems
Engineering
Engineering Thermodynamics
Flow (Dynamics)
Fluid dynamics
Free boundaries
Heat and Mass Transfer
Mathematical analysis
Mathematical models
Mathematics
Mechanical properties
Original Paper
Parameters
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Viscosity
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Summary:The fountain non-isothermal flow of a viscous fluid realized during circular pipe filling is investigated. The mathematical basis of the process is formed by the 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 used. 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 distributions of velocity and temperature in different cross sections of the pipe and the shape characteristics of the free surface are presented. 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.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-016-1655-9