A numerical algorithm for modeling laminar flows in an annular channel with eccentricity

We propose a numerical algorithm for simulating steady laminar flows of an incompressible fluid in annular channels with eccentricity and rotation of the inner cylinder. This algorithm enables us to describe this class of flows for wide ranges of the annular channel and flow parameters. We present t...

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Bibliographic Details
Published inJournal of applied and industrial mathematics Vol. 5; no. 4; pp. 559 - 568
Main Authors Gavrilov, A. A., Minakov, A. V., Dekterev, A. A., Rudyak, V. Ya
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.10.2011
Springer Nature B.V
Subjects
Algorithms
Annular
Approximation
Channels
Cylinders
Eccentricity
Exact solutions
Fluid mechanics
Laminar flow
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Studies
Velocity
eccentricity
annular channel
control volume method
pressure difference
SIMPLE-C algorithm
Online AccessGet full text
ISSN1990-4789
1990-4797
DOI10.1134/S1990478911040119

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Summary:We propose a numerical algorithm for simulating steady laminar flows of an incompressible fluid in annular channels with eccentricity and rotation of the inner cylinder. This algorithm enables us to describe this class of flows for wide ranges of the annular channel and flow parameters. We present the implementation details and the results of testing this numerical method. For a series of flows in an annular clearance, we compare the numerical results to available analytic solutions and experimental data. In all cases under consideration the simulated data agree well with the available experimental, analytical, and numerical solutions.
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ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478911040119