# Flow around a Sphere at Finite Reynolds Number by Galerkin Method

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Nonlinear Navier–Stokes equations are solved by the Galerkin method to obtain the contour and streamline plots for the flow around the sphere.

Contributed by: Mikhail Dimitrov Mikhailov (January 2013)

(INMETRO, Brazil)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The program solves nonlinear Navier–Stokes equations by using the Galerkin method for analytical expressions as proposed in [1]. The method was first implemented in FORTRAN in [2].

References

[1] M. Kawaguti, "The Critical Reynolds Number for the Flow past a Sphere," *Journal of the Physical Society of Japan*, 10(8), 1955 pp. 694–699. doi:10.1143/JPSJ.10.694.

[2] C. Y. Chow, *An Introduction to Computational Fluid Mechanics*, New York: Wiley, 1979.

## Permanent Citation

"Flow around a Sphere at Finite Reynolds Number by Galerkin Method"

http://demonstrations.wolfram.com/FlowAroundASphereAtFiniteReynoldsNumberByGalerkinMethod/

Wolfram Demonstrations Project

Published: January 2 2013