Introduction to Fluid Mechanics

In Fig.L1.1, a shear force F is applied to the upper plate to which the solid has been bonded, a shear stress resulted by the force equals to , where A is the contact area of the upper plate. We know that in the case of the solid block the deformation is proportional to the shear stress t provided the elastic limit of the solid material is not exceeded.

   
When a fluid is placed between the plates, the deformation of the fluid element is illustrated in Fig.L1.3. We can observe the fact that the deformation of the fluid element continues to increase as long as the force is applied. The fluid particles in direct contact with the plates move with the same speed of the plates. This can be interpreted that there is no slip at the boundary. This fluid behavior has been verified in numerous experiments with various kinds of fluid and boundary material.
 
   
In short, a fluid continues in motion under the application of a shear stress and can not sustain any shear stress when at rest.
   
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