The stress-strain relation of the newtoneon fluid isa)linearb)paraboli...
In continuum mechanics, a Newtonian fluid is a fluid in which the viscous stresses arising from its flow, at every point, are linearly proportional to the local strain rate—the rate of change of its deformation over time.
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The stress-strain relation of the newtoneon fluid isa)linearb)paraboli...
Stress-Strain Relation of a Newtonian Fluid
The stress-strain relation of a fluid describes how the fluid behaves under the application of stress, such as deformation or flow. In the case of a Newtonian fluid, the stress-strain relation is characterized by a linear relationship between stress and strain.
Explanation:
A Newtonian fluid is a type of fluid that exhibits a linear relationship between the applied shear stress and the resulting shear strain rate. This means that when a Newtonian fluid is subjected to a constant shear stress, the fluid will continuously deform at a constant rate.
The stress-strain relation for a Newtonian fluid can be described by Newton's law of viscosity, which states that the shear stress (τ) is directly proportional to the shear strain rate (du/dy). Mathematically, this can be written as:
τ = μ * (du/dy)
where τ is the shear stress, μ is the dynamic viscosity of the fluid, and (du/dy) is the shear strain rate.
Key Points:
- The stress-strain relation of a Newtonian fluid is linear.
- The linear relationship is described by Newton's law of viscosity.
- The shear stress is directly proportional to the shear strain rate.
- The dynamic viscosity of the fluid determines the slope of the stress-strain curve.
In conclusion, the correct answer is option 'A' - linear. The stress-strain relation of a Newtonian fluid is linear, as described by Newton's law of viscosity.
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