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Newton's law of viscosity is a relationship between
- a)shear stress and the rate of angular distortion
- b)shear stress and viscosity
- c)shear stress, velocity and viscosity
- d)pressure, velocity and viscosity
- e)shear stress, pressure and rate of angular distortion.
Correct answer is option 'A'. Can you explain this answer?
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Newtons law of viscosity is a relationship betweena)shear stress and t...
Newton's Law of Viscosity: Relationship between Shear Stress and Rate of Angular Distortion
Newton's law of viscosity states that the shear stress, τ, acting on a fluid is directly proportional to the rate of angular distortion, dv/dy, of the fluid. This relationship is expressed as:
τ = μ (dv/dy)
where μ is the viscosity of the fluid.
Explanation:
Shear stress is the force per unit area that is applied to a fluid when it is subjected to a tangential or shear force. This force causes the fluid layers to slide past each other, resulting in a rate of angular distortion or shear rate.
The rate of angular distortion is the rate at which the fluid layers are moving with respect to each other. It is expressed as dv/dy, where dv is the change in velocity in a direction perpendicular to the direction of the force and dy is the distance between the layers.
According to Newton's law of viscosity, the shear stress τ is directly proportional to the rate of angular distortion dv/dy. The constant of proportionality is the viscosity μ of the fluid.
This law applies to both Newtonian and non-Newtonian fluids. Newtonian fluids have a constant viscosity, while non-Newtonian fluids have a variable viscosity that depends on the shear rate.
In conclusion, Newton's law of viscosity relates the shear stress acting on a fluid to the rate of angular distortion of the fluid. This law is important in understanding the behavior of fluids in many engineering applications.
Newton's law of viscosity states that the shear stress, τ, acting on a fluid is directly proportional to the rate of angular distortion, dv/dy, of the fluid. This relationship is expressed as:
τ = μ (dv/dy)
where μ is the viscosity of the fluid.
Explanation:
Shear stress is the force per unit area that is applied to a fluid when it is subjected to a tangential or shear force. This force causes the fluid layers to slide past each other, resulting in a rate of angular distortion or shear rate.
The rate of angular distortion is the rate at which the fluid layers are moving with respect to each other. It is expressed as dv/dy, where dv is the change in velocity in a direction perpendicular to the direction of the force and dy is the distance between the layers.
According to Newton's law of viscosity, the shear stress τ is directly proportional to the rate of angular distortion dv/dy. The constant of proportionality is the viscosity μ of the fluid.
This law applies to both Newtonian and non-Newtonian fluids. Newtonian fluids have a constant viscosity, while non-Newtonian fluids have a variable viscosity that depends on the shear rate.
In conclusion, Newton's law of viscosity relates the shear stress acting on a fluid to the rate of angular distortion of the fluid. This law is important in understanding the behavior of fluids in many engineering applications.
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Newtons law of viscosity is a relationship betweena)shear stress and the rate of angular distortionb)shear stress and viscosityc)shear stress, velocity and viscosityd)pressure, velocity and viscositye)shear stress, pressure and rate of angular distortion.Correct answer is option 'A'. Can you explain this answer?
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