Kinematic viscosity depends on pressure

In summary, for an ideal gas, kinematic viscosity depends on pressure, but dynamic viscosity does not.
  • #1
werson tan
183
1

Homework Statement


I was told that kinematic viscosity depends on pressure , but not dynamic viscosity

Homework Equations

The Attempt at a Solution


in my opinion, the dynamic viscosity depends on pressure , since it's formula is μ = tau / (du/dy) , where tau is the stress . and stress can be somehow related to pressure
 
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  • #2
werson tan said:

Homework Statement


I was told that kinematic viscosity depends on pressure , but not dynamic viscosity

Homework Equations

The Attempt at a Solution


in my opinion, the dynamic viscosity depends on pressure , since it's formula is μ = tau / (du/dy) , where tau is the stress . and stress can be somehow related to pressure
It is true that pressure is a contributor to the stress tensor, but this contribution is independent of the portion related to the shear viscosity.
 
  • #3
Chestermiller said:
It is true that pressure is a contributor to the stress tensor, but this contribution is independent of the portion related to the shear viscosity.
so , which is correct ? kinematic viscosity or dynamic viscosity depends on pressure?
 
  • #4
werson tan said:
so , which is correct ? kinematic viscosity or dynamic viscosity depends on pressure?
For an ideal gas, kinematic viscosity varies inversely with pressure (because density is proportional to pressure), and dynamic viscosity does not vary with pressure.
 

1. What is kinematic viscosity?

Kinematic viscosity is a measure of a fluid's resistance to flow under the influence of gravity, and is defined as the ratio of dynamic viscosity to density.

2. How does pressure affect kinematic viscosity?

As pressure increases, the molecules in a fluid are pushed closer together, resulting in a higher density and a decrease in kinematic viscosity.

3. Does kinematic viscosity always decrease with pressure?

No, the relationship between kinematic viscosity and pressure is not always linear and can depend on the properties of the fluid being studied.

4. Can kinematic viscosity be measured directly?

No, kinematic viscosity is typically calculated using measurements of dynamic viscosity and density, as these are easier to measure directly.

5. How is kinematic viscosity used in industry?

Kinematic viscosity is an important parameter in industries such as oil and gas, where it is used to determine the flow properties of fluids and can help with the design and optimization of pipelines and other equipment.

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