![]() This little equation turns out to be quite usefulįor a lot of practical engineering problems.įor example, consider a block sliding down an incline:Ī block of weight W is sliding down an incline at constant speed V on a thin film of oil of thickness h, as sketched. In fact, the constant of proportionality is the coefficient of Stress is directly proportional to the slope of the velocity profile. In a simple 2-D shear flow such as this, the shear Stress, defined as a tangential force per unit area, is used ratherįriction force per unit area acting on the fluid, as illustrated The fluid at the bottom of the channel will feel an equalĪnd opposite force, i.e. Since the fluid is trying to pull the plate along with it to the The bottom plate will experience a friction force to the right, The fluid at the top of the channel willĮxperience an equal and opposite force (i.e. The left, since it is doing work trying to drag the fluid along The top plate will experience a friction force to Of the wall at both the top and bottom walls. Also notice that the velocity of the fluid matches that That the velocity profile, u(y) is linear, i.e. It turns out (we will prove this at a later date) While the upper plate is moving at a steady speed of V.
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