Kinematic viscosity varies inversely with pressure for ideal gases, while dynamic viscosity remains constant regardless of pressure changes. The formula for dynamic viscosity is expressed as μ = τ / (du/dy), where τ represents stress. Although pressure contributes to the stress tensor, this contribution does not affect the shear viscosity component. Therefore, the assertion that kinematic viscosity depends on pressure is accurate, whereas dynamic viscosity does not.
PREREQUISITESStudents and professionals in fluid mechanics, chemical engineering, and physics who seek to understand the effects of pressure on viscosity properties.
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.werson tan said:Homework Statement
I was told that kinematic viscosity depends on pressure , but not dynamic viscosity
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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
so , which is correct ? kinematic viscosity or dynamic viscosity depends on pressure?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.
For an ideal gas, kinematic viscosity varies inversely with pressure (because density is proportional to pressure), and dynamic viscosity does not vary with pressure.werson tan said:so , which is correct ? kinematic viscosity or dynamic viscosity depends on pressure?