# Start-up of Poiseuille Flow in a Newtonian Fluid

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This Demonstration describes the start-up of Poiseuille flow in a Newtonian fluid. The velocity is determined using either *Mathematica*'s built-in function NDSolve (solid colored curves) or orthogonal collocation (colored dots). The Demonstration plots the dimensionless velocity profile versus the dimensionless radial position at various times (, ,, , , , , , and ). You can change the number and location of interior points used in the orthogonal collocation method. The collocation points are the roots of the Jacobi polynomials. The black curve shows the typical parabolic velocity profile obtained for Poiseuille flow at steady state.

Contributed by: Housam Binous and Brian G. Higgins (August 2011)

Open content licensed under CC BY-NC-SA

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