List of top Fluid Mechanics and Mechanical Operations Questions on Flow past immersed bodies including packed and fluidized beds asked in GATE CH

For a packed-bed comprising of uniform-sized spherical particles of diameter \(D_p\), the pressure drop across the bed is given by the Kozeny–Carman (laminar Ergun) equation when the particle Reynolds number \((Re_p)<1\). Under this condition, minimum fluidization velocity is proportional to \(D_p^{\,n}\). Which one of the following is the CORRECT value of exponent \(n\)?

Seawater is passed through a column containing a bed of resin beads. Density of seawater = 1025 kg m\(^{-3}\)
Density of resin beads = 1330 kg m\(^{-3}\)
Diameter of resin beads = 50 \(\mu\)m
Void fraction of the bed at the onset of fluidization = 0.4
Acceleration due to gravity = 9.81 m s\(^{-2}\)
The pressure drop per unit length of the bed at the onset of fluidization is \(\underline{\hspace{1cm}}\) Pa m\(^{-1}\) (round off to nearest integer).