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In a Newtonian fluid, shear stress is directly proportional to the velocity gradient. This relationship is described by Newton's law of viscosity, which states that the shear stress (τ) is equal to the viscosity (μ) of the fluid multiplied by the velocity gradient (du/dy). Mathematically, this relationship can be represented as τ = μ*(du/dy).

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

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.


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Related questions

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