A cylindrical bed $($diameter $38mm$ and length $16mm)$ contains sand $)$ is used as a final filtration step for removing impurities from a stream of molten polyester prior to spinning that polymer into filaments. The polymer is approximately a Newtonian fluid and, at processing conditions, has a viscosity of $600$Pasec and a density of $1300k\frac{g}{m^3}.$ Estimate the pressure drop over this bed for a flow of $0\mathrm{.}18k\frac{g}{h}r$ through it$.$ You can assume the bed porosity is $0\mathrm{.}38.$