Chemical Engineering - Fluid Mechanics

For laminar flow of Newtonion fluid in a circular pipe, the velocity distribution is a function of the distance 'd' measured from the centre line of the pipe, and it follows a __________ relationship.

The Prandtl mixing length is

N²_Re/N_Fr is called the __________ number.

The location of centre of pressure, which defines the point of application of the total pressure force on the surface, can be calculated by applying the principle of moments according to which "sum of the moment of the resultant force about an axis is equal to the sum of the components about the same axis". The centre of pressure of a rectangular surface (of width 'w') immersed vertically in a static mass of fluid is at a depth of(where, y = depth of the liquid)

As the velocity V and thus the Reynolds number of a flow past a sphere increases from very low value, the drag force for Re << 1