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Q: What is the relationship between shear stress and velocity gradient in a Newtonian fluid?

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The velocity gradient (du/dy) where du is the change in velocity and dy is the change in distance between plates, would have units of (1/time) or (1/sec).Hope this helps!

velocity = displacement / time taken

The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by v/x, where v is the velocity difference and x is the distance between the layers. To keep one layer of fluid moving at a greater velocity than the adjacent layer, a force F is necessary, resulting in a shearing stress F/A, where A is the area of the surface in contact with the layer being moved.

Acceleration is the rate of change of the magnitude of velocity and the direction in which the velocity changes.

Momentum=mass*velocity

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With respect to material being sheared, velocity gradient is the change dv in relative velocity v between parallel planes with respect to the change dr in perpendicular distance r throughout the depth of the material. Velocity gradient has the same dimensions as rate of shear, which is reciprocal seconds.

The velocity gradient (du/dy) where du is the change in velocity and dy is the change in distance between plates, would have units of (1/time) or (1/sec).Hope this helps!

velocity = displacement / time taken

sorry '=

The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by v/x, where v is the velocity difference and x is the distance between the layers. To keep one layer of fluid moving at a greater velocity than the adjacent layer, a force F is necessary, resulting in a shearing stress F/A, where A is the area of the surface in contact with the layer being moved.

The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by v/x, where v is the velocity difference and x is the distance between the layers. To keep one layer of fluid moving at a greater velocity than the adjacent layer, a force F is necessary, resulting in a shearing stress F/A, where A is the area of the surface in contact with the layer being moved.

Acceleration is the rate of change of the magnitude of velocity and the direction in which the velocity changes.

Acceleration is the rate at which velocity changes and the direction of the change.

Momentum=mass*velocity

The lighter the weight, the greater the initial velocity of shortening; inverse relationship.

Regarding their magnitudes . . . Acceleration is the time rate of change of velocity. Regarding their directions . . . There's not necessarily any relationship between the two.

The velocity of a wave is the product of frequency and wavelength,such that: V=fλ