Understanding the Calculation for Shear Stress of Water

In summary, the shear stress of water is the force per unit area exerted on a fluid flowing parallel to a surface, and it is calculated using the formula τ = μ * (du/dy). This stress is affected by factors such as viscosity, velocity, surface area, and type of surface material, and it is important in understanding and predicting fluid behavior in various industries. To reduce shear stress, one can decrease water velocity, increase viscosity, use different surface materials, or add chemicals to water.
  • #1
goldfish9776
310
1

Homework Statement


for the second photo , why the dy is 0.005/2 ? why not 0.005 ?

Homework Equations

The Attempt at a Solution

 

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  • #2
Looks like a mistake to me. Also, it says acceleration where it means velocity.
 
  • #3
haruspex said:
Looks like a mistake to me. Also, it says acceleration where it means velocity.
In your opinion , it should be 0.005 ?
 
  • #4
goldfish9776 said:
In your opinion , it should be 0.005 ?
Yes.
 

1. What is shear stress of water?

Shear stress of water is the force per unit area that is exerted on a fluid when it flows parallel to a surface. In other words, it is the measure of the resistance of water to flow due to the friction between water molecules and the surface it is in contact with.

2. How is shear stress of water calculated?

The formula for calculating shear stress of water is: τ = μ * (du/dy), where τ is the shear stress, μ is the dynamic viscosity of water, and (du/dy) is the velocity gradient of water.

3. What factors affect the shear stress of water?

The shear stress of water is affected by several factors including the viscosity of water, the velocity of water, the surface area in contact with the water, and the type of surface the water is flowing over.

4. Why is shear stress of water important?

Shear stress of water is an important concept in fluid dynamics and is used to understand and predict the behavior of fluids in various applications. It is particularly important in industries such as engineering, environmental science, and geology where the flow of water is a critical factor.

5. How can shear stress of water be reduced?

Shear stress of water can be reduced by decreasing the velocity of water, increasing the viscosity of water, or by using different types of surface materials that have lower friction with water. In some cases, adding certain chemicals to water can also reduce its shear stress.

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