Modern Mechanical Engineering

Volume 8, Issue 4 (November 2018)

ISSN Print: 2164-0165   ISSN Online: 2164-0181

Google-based Impact Factor: 0.70  Citations  

Effects of the Reynolds and Weissenberg’s Numbers on the Stability of Linear Pipe Flow of Viscous Fluid

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DOI: 10.4236/mme.2018.84018    552 Downloads   947 Views  

ABSTRACT

A Fourier-Chebyshev Petrov-Galerkin spectral method is described for high accuracy computation of linearized dynamics for flow in a circular pipe. The code used here is based on solenoidal velocity variables and is written in FORTRAN. Systematic studies are presented of the dependence of eigenval-ues and other quantities on the axial and azimuthal wave numbers; the Reyn-olds’ number of up to 107 and the Weissenberg’s number that is considered lower here. The flow will be considered stable if all the real parts of the ei-genvalues obtained are negative and unstable if only one of these values is positive.

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Kama, I. , Sow, M. , Kpode, K. and Mbow, C. (2018) Effects of the Reynolds and Weissenberg’s Numbers on the Stability of Linear Pipe Flow of Viscous Fluid. Modern Mechanical Engineering, 8, 264-277. doi: 10.4236/mme.2018.84018.

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