What is the relationship between shear stress and shear rate in a Newtonian flui
Practice Questions
Q1
What is the relationship between shear stress and shear rate in a Newtonian fluid?
Directly proportional
Inversely proportional
Exponential
No relationship
Questions & Step-by-Step Solutions
What is the relationship between shear stress and shear rate in a Newtonian fluid?
Step 1: Understand what a Newtonian fluid is. A Newtonian fluid is a type of fluid that flows in a consistent manner, meaning its viscosity remains constant regardless of the shear rate.
Step 2: Define shear stress. Shear stress is the force applied per unit area that causes the fluid to deform or flow.
Step 3: Define shear rate. Shear rate is the rate at which the fluid is deformed or the speed at which different layers of the fluid move relative to each other.
Step 4: Learn the relationship. In a Newtonian fluid, when you increase the shear rate (how fast the fluid is being deformed), the shear stress (the force causing the deformation) also increases.
Step 5: Understand proportionality. This means that shear stress is directly proportional to shear rate. If you double the shear rate, the shear stress also doubles.
Step 6: Connect to viscosity. The constant of proportionality between shear stress and shear rate is called viscosity, which is a measure of a fluid's resistance to flow.
