A cylindrical core of a homogeneous sandstone is placed inside a metal cylinder that is tilted 60o relative to the horizontal. The radius of the...

A cylindrical core of a homogeneous sandstone is placed inside a metal cylinder that is

tilted 60o relative to the horizontal. The radius of the cylinder is 6.0 cm. The length of the

core is 5.0 cm. Water is supplied into the cylinder above the core at a constant rate, so

that the water level in the cylinder is constant and equal to 2.0 m above the core in the

length direction of the cylinder. The water viscosity is 1.0 cp, the water density is 1000

kg/m3 and the acceleration of gravity is 10 m/s2. The flow rate is measured to be 60

liters/day. It is assumed that the exit pressure below the core is atmospheric pressure, and

we ignore hydrostatic pressure differences in the air outside the cylinder. Find the

permeability of the core.