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For a Newtonian fluid
- a)Shear stress is proportional to shear strain
- b)Rate of shear stress is proportional to shear strain
- c)Shear stress is proportional to rate of shear strain
- d)Rate of shear stress is proportional to rate of shear strain
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For a Newtonian fluida)Shear stress is proportional to shear strainb)R...
For a Newtonian fluid, the shear stress is proportional to the rate of shear strain. This is known as Newton’s law of viscosity. So, the correct answer is Option C: Shear stress is proportional to rate of shear strain. This relationship can be mathematically expressed as τ = μ*(du/dy), where τ is the shear stress, μ is the dynamic viscosity, du/dy is the velocity gradient or rate of shear strain. The proportionality constant, μ, is the coefficient of viscosity.
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Most Upvoted Answer
For a Newtonian fluida)Shear stress is proportional to shear strainb)R...
Newtonian Fluid:
A Newtonian fluid is a type of fluid that follows Newton's law of viscosity, which states that the shear stress is proportional to the rate of shear strain of the fluid.
Shear Stress and Shear Strain:
Shear stress is the force acting per unit area of the surface perpendicular to the direction of flow of the fluid. Shear strain is the deformation per unit length of the fluid in the direction of the flow.
Relationship between Shear Stress and Shear Strain:
The relationship between shear stress and shear strain in a Newtonian fluid is given by:
Shear Stress = μ x Rate of Shear Strain
Where μ is the coefficient of viscosity of the fluid. This relationship is known as Newton's law of viscosity.
Explanation:
The above equation implies that the shear stress is directly proportional to the rate of shear strain, rather than the shear strain itself. This means that for a given fluid, the shear stress will increase or decrease proportionally with the rate of shear strain. The rate of shear strain is defined as the change in the deformation per unit length of the fluid in the direction of the flow, per unit time.
In other words, if the rate of shear strain is high, the fluid will experience a high shear stress. On the other hand, if the rate of shear strain is low, the fluid will experience a low shear stress.
Conclusion:
Therefore, the correct option is 'C', which states that shear stress is proportional to the rate of shear strain. This relationship is valid for Newtonian fluids.
A Newtonian fluid is a type of fluid that follows Newton's law of viscosity, which states that the shear stress is proportional to the rate of shear strain of the fluid.
Shear Stress and Shear Strain:
Shear stress is the force acting per unit area of the surface perpendicular to the direction of flow of the fluid. Shear strain is the deformation per unit length of the fluid in the direction of the flow.
Relationship between Shear Stress and Shear Strain:
The relationship between shear stress and shear strain in a Newtonian fluid is given by:
Shear Stress = μ x Rate of Shear Strain
Where μ is the coefficient of viscosity of the fluid. This relationship is known as Newton's law of viscosity.
Explanation:
The above equation implies that the shear stress is directly proportional to the rate of shear strain, rather than the shear strain itself. This means that for a given fluid, the shear stress will increase or decrease proportionally with the rate of shear strain. The rate of shear strain is defined as the change in the deformation per unit length of the fluid in the direction of the flow, per unit time.
In other words, if the rate of shear strain is high, the fluid will experience a high shear stress. On the other hand, if the rate of shear strain is low, the fluid will experience a low shear stress.
Conclusion:
Therefore, the correct option is 'C', which states that shear stress is proportional to the rate of shear strain. This relationship is valid for Newtonian fluids.
Community Answer
For a Newtonian fluida)Shear stress is proportional to shear strainb)R...
The newtonian fluid is defined as the fluid which follow newton's law of viscosity where shear stress is equal to multiplication of viscosity and velocity gradient or shear strain here viscosity is constant so they are perpotional to each other
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For a Newtonian fluida)Shear stress is proportional to shear strainb)Rate of shear stress is proportional to shear strainc)Shear stress is proportional to rate of shear straind)Rate of shear stress is proportional to rate of shear strainCorrect answer is option 'C'. Can you explain this answer?
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