The discussion revolves around the relationship between kinematic viscosity, dynamic viscosity, and pressure. Participants are exploring whether kinematic viscosity or dynamic viscosity is influenced by pressure, with references to the definitions and formulas associated with each type of viscosity.
The discussion is ongoing, with participants presenting various viewpoints and attempting to clarify the relationship between viscosity types and pressure. Some guidance has been offered regarding the behavior of kinematic viscosity in relation to pressure for ideal gases, but no consensus has been reached.
Participants are considering the implications of viscosity definitions and the conditions under which these relationships hold, particularly in the context of ideal gases. There is an acknowledgment of the complexity of the topic, with references to the stress tensor and its components.
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
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
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?