Question
Download Solution PDFAccording to the Newton's law of viscosity, the shear stress of a fluid element layer is directly proportional to the _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Newton's law of viscosity:
- Viscosity is a property of fluid by virtue of which they offer resistance to shear or angular deformation.
- It is primarily due to cohesion and molecular momentum exchange between fluid layers, and as flow occurs, these effects appears as shearing stresses between the moving layers.
- According to Newton's law of viscosity, shear stress is directly proportional to the rate of angular deformation (shear strain) or velocity gradient across the flow.
\(τ\propto\frac{du}{dy}\)
\(τ=μ\frac{du}{dy}\)
where, τ = shear stress, μ = absolute or dynamic viscosity, du/dy = velocity gradient ⇒ dα/dt = rate of angular deformation (shear strain).
Additional Information
Fluids for which the shear stress is not linearly related to the shear strain rate are called non-Newtonian fluids examples include slurries and colloidal suspensions, polymer solutions, blood, paste, and cake batter
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