Poiseuille Flow

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Poiseuille Flow

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The steady laminar flow of a fluid through a narrow horizontal circular cylinder according to the relation

u = (1/4μ) (Missing Image:img src="SP7_p_files/partderiv.gif"p/Missing Image:img src="SP7_p_files/partderiv.gif"x) (a² - r²

where u is the fluid velocity along the cylinder's axis at a distance r from the cylinder's axis; μ is the dynamic viscosity of the fluid; a is the cylinder radius; and Missing Image:img src="SP7_p_files/partderiv.gif"p/Missing Image:img src="SP7_p_files/partderiv.gif"x is the pressure gradient along the axis of the cylinder. The velocity profile across the cylinder is seen to be parabolic, and this relation affords a convenient experimental means of determining a fluid's viscosity. Also called Hagen-Poiseuille flow. Compare Couette flow. </dd>

References

This article is based on NASA's Dictionary of Technical Terms for Aerospace Use