Two fluid layers with different viscosities ( u1= 0.1 pa ∙ s and u2 = 0.2 pa ∙ s) are sandwiched between two plates of area a = 1 m2. each layer is h = 1 mm thick. find the force f necessary to make the upper plate move at a speed u = 1 m/s. also, find the fluid velocity at the interface between the two fluids.

Explanation:

The given data is as follows.

            = 0.1 Pa.s,             = 0.2 Pa.s

            = = 1 mm =   (as 1 m = 1000 mm)

As the velocity gradients are linear so, the shear stress will be the same throughout.

                  = velocity at the interface

or,                

Now, putting the given values into the above formula as follows.

                          =        

                          = 0.667 m/s

Hence, force required will be F =          

or,                  F =

                         =

                         = 66.67 N

Thus, we can conclude that the fluid velocity is 0.667 m/s and force necessary to make the upper plate move at a speed U = 1 m/s is 66.67 N.

mechanics (greek   is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment. the scientific discipline has its origins in ancient greece with the writings of aristotle and archimedes[1][2][3] (see history of classical mechanics and timeline of classical mechanics). during the early modern period, scientists such as galileo, kepler, and newton laid the foundation for what is now known as classical mechanics. it is a branch of classical physics that deals with particles that are either at rest or are moving with velocities significantly less than the speed of light. it can also be defined as a branch of science which deals with the motion of and forces on objects. the field is yet less widely understood in terms of quantum theory.

explanation:

state the principle of separating two immiscible liquids by separating funnel. describe an activity with diagram to separate a mixture of water and kerosene oil. answer: immiscible layers separate out in layers depending on their densities in separating funne