Semi-analytical solution of laminar flow in a circular duct with constant value of the radial vector at the entrance

The current paper presents a semi-analytical solution for the problem of swirl decay under laminar flow in a circular duct with constant value of the radial velocity at the inlet. The swirl velocity equation is solved by the separation of variable technique. Based on the eigenvalues and eigenfunctio...

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Bibliographic Details
Main Authors: Kadyirov, A. I., Vachagina, E. K.
Format: Conference Proceeding
Language:English
Subjects:
Eigenvalues
Eigenvectors
Exact solutions
Exponential functions
Laminar flow
Radial velocity
Viscous flow
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Summary:The current paper presents a semi-analytical solution for the problem of swirl decay under laminar flow in a circular duct with constant value of the radial velocity at the inlet. The swirl velocity equation is solved by the separation of variable technique. Based on the eigenvalues and eigenfunctions corresponding to the solution of main problem it is found that the slowest breakdown processes of eddy structures under laminar viscous flow are described by the exponential function.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0000761