Arigid, insulated tank that is initially evacuated is connected through a valve to a supply line that carries helium at 200 kpa and 120°c. now the valve is opened, and helium is allowed to flow into the tank until the pressure reaches 200 kpa, at which point the valve is closed. determine the flow work of the helium in the supply line and the final temperature of the helium in the tank.

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)