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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,
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The rate of flow of liquid is given by physics tutor

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

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