Oil (SG = 0.88) flows steadily in an inclined pipe at a rate of 7 ft3/s, as shown in the figure below. If the differential reading in the mercury manometer is 2 ft and head losses are negligible, calculate the power that the pump supplies to the oil. The diameter of the pipe before the pump is 6 in, while that after the pump is unknown. Note that one of the manometer legs protrudes into
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:
Oil (SG = 0.88) flows steadily in an inclined pipe at a rate of 7 ft3/s, as shown in the figure below. If the differential reading in the mercury manometer is 2 ft and head losses are negligible, calculate the power that the pump supplies to the oil. The diameter of the pipe before the pump is 6 in, while that after the pump is unknown. Note that one of the manometer legs protrudes into the pipe similar to a pitot tube.
![The image depicts a U-tube manometer with a piston (labeled "P") placed on one side. The manometer is partially filled with a fluid.
### Description:
- **Manometer Structure**:
- The device consists of two vertical arms connected at the bottom in a U-shape.
- The left arm of the U-tube manometer is open to the atmosphere.
- **Dimensions**:
- The fluid in the manometer rises up to 2 feet on the left arm.
- The piston is positioned 6 inches above the fluid level in the right arm of the tube.
- **Piston and Pressure**:
- A piston (indicated as "P") is acting on the fluid in the right arm.
- The piston applies or adjusts pressure, affecting the fluid levels in the manometer.
This diagram is useful for understanding how pressure differences affect fluid levels in a U-tube manometer, which is a fundamental concept in fluid dynamics and pressure measurement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29f64b01-0d6a-4846-973b-838c2384cfc9%2F45d38dcf-1c7b-497d-9644-1965385aba3b%2F2r9e2zr_processed.png&w=3840&q=75)
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