14.5
A Newtonian fluid has a constant viscosity, meaning the shear stress is directly proportional to the rate of shear strain.
This behavior ensures the fluid responds predictably to applied forces, maintaining a linear relationship between force and flow.
Water, air, and light oils are examples of such fluids, all of which maintain proportionality regardless of the conditions.
Consider a fluid situated between two parallel plates. The upper plate moves constantly, while the lower plate remains stationary.
Given the fluid's viscosity, the velocity of the moving plate, and the distance between the two plates, the shear stress acting on the stationary lower plate must be determined.
The velocity gradient is determined to calculate the shear stress. The velocity gradient represents the rate of change of the fluid's velocity from the stationary plate to the moving one.
Once the velocity gradient is known, the shear stress is calculated by multiplying it by the fluid's viscosity.
The shear stress on the lower plate illustrates the predictable behavior of a Newtonian fluid.
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a pre…
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