Write the mass, momentum, and energy conservation equations for an incompressible, constant-property, and Newtonian fluid, for the following systems:
a. Downward flow in a vertical pipe
b. Downward flow in the above vertical pipe, where the hydrodynamic entrance effects have all disappeared
c. Repeat Part b, this time assuming that hydrodynamic and thermal entrance effects have all disappeared.
For simplicity, assume axi-symmetric flow.
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