Viscosity finding the velocity at a point

In summary, the conversation discusses the flow of water in a horizontal pipe at 20 degrees celsius with a length of 20m. The flow is laminar and the water completely fills the pipe. A pump maintains a gauge pressure of 1400 pa at one end of the pipe while the other end is open to the air. The viscosity of water at 20 degrees celsius is 1.005 poise. The conversation also presents two questions: the first asks for the volume flow rate for a pipe with a diameter of 8cm, and the second asks for the necessary gauge pressure to achieve the same volume flow rate for a pipe with a diameter of 4cm. The equation discussed is the Hagen Poiseulle
  • #1
shivam01anand
37
0
w

Homework Statement

water at 20 degrees celsius is flowing in a horizontal pipe is 20 m long. The flow is laminar and the water completely fills the pipe. A pump maintains the gauge pressure of 1400 pa at a large tank at one end of the pipe. the other end of the pipe is open to the air. the viscosity of water at 20 degree celsius is 1.005 poise

a) The pipe has diameter of 8 cm what is the volume flow rate

b) what gauge pressure must the pump provide to achieve the same volume flow rate for a pipe with a diameter of 4cm

C) For pipe in part a and the same gauge pressure maintained by the pump what does the volume flow rate become if the water is at 60 celsius[at which the viscosity is 0.469 poise

Homework Equations


The Attempt at a Solution

The viscous force is -na dv/dx.

besides that i don't really have a clue what to do..
please help and thank you!
 
Last edited:
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  • #2
shivam01anand said:
w

Homework Statement




water at 20 degrees celsius is flowing in a horizontal pipe is 20 m long. The flow is laminar and the water completely fills the pipe. A pump maintains the gauge pressure of 1400 pa at a large tank at one end of the pipe. the other end of the pipe is open to the air. the viscosity of water at 20 degree celsius is 1.005 poise

a) The pipe has diameter of 8 cm what is the volume flow rate

b) what gauge pressure must the pump provide to achieve the same volume flow rate for a pipe with a diameter of 4cm

C) For pipe in part a and the same gauge pressure maintained by the pump what does the volume flow rate become if the water is at 60 celsius[at which the viscosity is 0.469 poise

Homework Equations





The Attempt at a Solution




The viscous force is -na dv/dx.

besides that i don't really have a clue what to do..
please help and thank you!
Have you ever heard of the Hagen Poiseulle equation (I'm not sure of the spelling)? If not, find out about it.
 

1. What is viscosity?

Viscosity refers to the measurement of a fluid's resistance to flow. It is a property of fluids that determines how easily they can be deformed or how easily they flow.

2. How is viscosity measured?

Viscosity can be measured using various techniques, including viscometers, rotational viscometers, and capillary tubes. These methods involve measuring the time it takes for a fluid to flow through a specific volume or the force required to make a fluid flow at a certain velocity.

3. What factors affect the viscosity of a fluid?

The viscosity of a fluid is affected by several factors, including temperature, pressure, and the presence of impurities or additives. In general, higher temperatures decrease viscosity, while higher pressures and the addition of impurities can increase viscosity.

4. How is velocity at a point determined using viscosity?

The velocity at a point can be determined using the Navier-Stokes equation, which takes into account the fluid's viscosity, density, and pressure gradient. This equation describes the relationship between the velocity of the fluid at a particular point and the forces acting on it.

5. What are some practical applications of understanding viscosity and velocity at a point?

Understanding viscosity and velocity at a point is essential in various industries such as food and beverage production, pharmaceuticals, and petroleum. It is also crucial in the development of efficient transportation methods, such as designing aerodynamic vehicles and optimizing fuel consumption in engines.

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