Consider a heated sphere at 127oC. Using 27oC air as the ambient fluid plot the convection coefficient of heat transfer, h, due to free convection as a function of the diameter (for 0.1 mm < D < 100. mm). Use log-log plot. (20% Professional look, 25% Accuracy) Include a typed derivation of the calculations used. Include all units.

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)