Water flows down a 1 m hill through a pipe that widens from 5 cm2 at the top of the hill to 15 cm2 at the bottom of the hill. The pressure at the top of the hill is 6.5 x 104 Pa. It exits the pipe into air at the bottom of the hill. What is the velocity of water in the pipe at the top and bottom of the hill?
Viscosity
The measure of the resistance of a fluid to flow is known as viscosity. Most fluids have some resistance to motion, the resistance provided by the fluid is called viscosity. This resistance is created by the force of attraction between the fluid molecules. If you pour water through a funnel, it flows easily and quickly, because it has very little resistance. But if you pour honey through a funnel, it may take a little time longer, as the density of honey is high.
Poiseuille's Law
The law of Poiseuille or Poiseuille's equation states that the pressure drop of an incompressible fluid especially a liquid in a laminar flow that passes through a cylindrical tube of length L, radius r, pressure gradient ΔP, and mainly depends on the viscosity of the fluid is nothing but the pressure difference of the layers of fluids. ΔP=P1-P2
Drag Forces
Forces that occur due to the movement of fluid are known as fluid mechanics. Following are the fluids present:
Water flows down a 1 m hill through a pipe that widens from 5 cm2 at the top of
the hill to 15 cm2 at the bottom of the hill. The pressure at the top of the hill is 6.5
x 104 Pa. It exits the pipe into air at the bottom of the hill. What is the velocity of
water in the pipe at the top and bottom of the hill?
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