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For a fluid, the shear stress was found to be directly proportional to the rate of angular deformation. The fluid is classified as
- a)Newtonian
- b)Non-Newtonian
- c)Dilantant fluid
- d)Thixotropic
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
For a fluid, the shear stress was found to be directly proportional t...
Newton's law of viscosity
A fluid is said to be Newtonian fluid if shear stress is directly proportional to the rate of angular deformation or the rate of shear strain or velocity.
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For a fluid, the shear stress was found to be directly proportional t...
Explanation:
The given statement is an indication of the linear relationship between shear stress and shear rate, which is a characteristic of Newtonian fluids. The explanation is as follows:
Newtonian Fluids:
Newtonian fluids are those fluids that obey Newton's law of viscosity, which states that the shear stress is directly proportional to the rate of angular deformation or shear rate. The proportionality constant is known as the dynamic viscosity or simply viscosity.
For a Newtonian fluid, the relationship between shear stress and shear rate can be expressed as:
τ = μ(dγ/dt)
where τ is the shear stress, μ is the dynamic viscosity, and dγ/dt is the shear rate.
The above equation indicates that if the shear rate increases, the shear stress will also increase in a linear manner, which is the same as the given statement.
Non-Newtonian Fluids:
On the other hand, non-Newtonian fluids do not follow Newton's law of viscosity, and their viscosity is not constant but depends on the shear rate, shear stress, or time. Thus, the relationship between shear stress and shear rate may not be linear, and the given statement would not hold for them.
Dilatant and Thixotropic Fluids:
Dilatant and thixotropic fluids are two types of non-Newtonian fluids. Dilatant fluids show an increase in viscosity with an increase in shear rate, while thixotropic fluids show a decrease in viscosity with time under constant shear stress or shear rate.
Conclusion:
Therefore, based on the given statement, the fluid is classified as a Newtonian fluid.
The given statement is an indication of the linear relationship between shear stress and shear rate, which is a characteristic of Newtonian fluids. The explanation is as follows:
Newtonian Fluids:
Newtonian fluids are those fluids that obey Newton's law of viscosity, which states that the shear stress is directly proportional to the rate of angular deformation or shear rate. The proportionality constant is known as the dynamic viscosity or simply viscosity.
For a Newtonian fluid, the relationship between shear stress and shear rate can be expressed as:
τ = μ(dγ/dt)
where τ is the shear stress, μ is the dynamic viscosity, and dγ/dt is the shear rate.
The above equation indicates that if the shear rate increases, the shear stress will also increase in a linear manner, which is the same as the given statement.
Non-Newtonian Fluids:
On the other hand, non-Newtonian fluids do not follow Newton's law of viscosity, and their viscosity is not constant but depends on the shear rate, shear stress, or time. Thus, the relationship between shear stress and shear rate may not be linear, and the given statement would not hold for them.
Dilatant and Thixotropic Fluids:
Dilatant and thixotropic fluids are two types of non-Newtonian fluids. Dilatant fluids show an increase in viscosity with an increase in shear rate, while thixotropic fluids show a decrease in viscosity with time under constant shear stress or shear rate.
Conclusion:
Therefore, based on the given statement, the fluid is classified as a Newtonian fluid.
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For a fluid, the shear stress was found to be directly proportional to the rate of angular deformation. The fluid is classified asa)Newtonianb)Non-Newtonianc)Dilantant fluidd)ThixotropicCorrect answer is option 'A'. Can you explain this answer?
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