May I please have assistance for solving this question by using Navier-Stokes Equation and please also show all the necessary workouts:

Please show the workout for this problem: A centrifugal pump is used to pump a viscous fluid with a density of 800 kg/m^3 and a viscosity of 0.05 Pas. The pump impeller has a diameter of 30 cm and rotates at 1000 RPM. The fluid enters the pump at a radius of 5 cm and exits the pump at a radius of 15 cm, with a flow rate of 0.1 m^3/s. Assuming steady, axisymmetric flow and neglecting the effects of turbulence, use the Navier-Stokes equation in cylindrical coordinates to calculate the pressure distribution and velocity profile of the fluid in the pump. Given parameters: Fluid density = 800 kg/m^3 Fluid viscosity = 0.05 Pas Impeller diameter = 30 cm Impeller rotational speed = 1000 RPM Inlet radius = 5 cm Outlet radius = 15 cm Flow rate = 0.1 m^3/s