Consider a fluid between two plates. One on the bottom which is stationary, and one at the top which is moving at constant velocity V. The plates are separated by distance h.
Does shear stress change as you move further from the moving plate?
the equation given in the book is: τ = μ * (V/h)
there is another equation for velocity, u of the water at any height equals: (y/h) * V
where y is the y-coordinate, 0 at the bottom at V at the top, by the moving plate
The Attempt at a Solution
where μ, V and h are constants. Therefore it seems shear force on the liquid is constant across the gap. but that doesn't make logical or intuitive sense to me. The further you get from the moving plate, the lower the velocity - doesn't that mean force on the liquid is smaller at greater depths?