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9.24 Poiseuille Formula

When liquid flow steady through the pipe of uniform cross-section of radius R and of length L, then velocity profile of fluid is a paraboloid of revolution as shown in figure. where P is the pressure difference across the end of pipe and -ve sign implies that liquid flow in the direction of decreasing pressure. The maximum value of V occur at r = 0 and the average velocity is half of this maximum value. Thus,




The rate of flow of liquid is given by

This is Poisculli formula for steady flow of liquid through circular pipe of uniform cross-section.

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