a) A liquid flow through an orifice located on the side of a track as shown in fig (a). A
commonly used equation for determining the volume rate of flow, Q, through the orifice is
Q=0.61A√2gh where A is the area of the orifice, g is the acceleration of gravity, h is
the height of the liquid above the orifice. Investigate the dimensional homogeneity of this
formula.
(a)
(b)
Fig (a)
b) The velocity distribution for the flow of a Newtonian fluid between two fixed wide, parallel
plate is given by the equation.
U=[1-()] where V is the mean velocity. The fluid has a
viscosity of 0.2 Also V = 10 ms¹ and h = 1m.
Find
i.
The shearing stress acting on the bottom wall.
ii.
The shearing stress acting on a plane parallel to the walls and passing through the
center line (mid plane)
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