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VIDEO LIBRARY |
Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005
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Stability Analysis of an Elastic Tube Conveying a Non-Newtonian Fluid and Having a Locally Weakened Section V. V. Vedeneev |
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Abstract: The work is devoted to the stability analysis of the flow of a non-Newtonian power law fluid in an elastic tube. Integrating the equations of motion over the cross section, we obtain a one-dimensional equation that describes long-wave low-frequency motions of the system in which the rheology of the flowing fluid is taken into account. In the first part of the paper, we find a stability criterion for an infinite uniform tube and an absolute instability criterion. We show that instability under which the axial symmetry of motion of the tube is preserved is possible only for a power-law index of Related articles:
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