Specific energy per unit mass of flowing fluid can be expres

Specific energy (per unit mass) of flowing fluid can be expressed as h + 1/2 V^2 + gz, where h is specific enthalpy (J/kg), vis velocity (m/s), g is gravitational acceleration (m/s^2) and z is elevation (m). Show that all three terms have same (consistent) units.

Solution

h = J/ KG = Nm /KG

Newton is unit of force ,

force = mass * accelaration = mass * metre / sec ^2

unit of mass is KG

unit of metre is m

force = kg * m/s²

SO h = J/ KG = Nm /KG = KG m² / ( s² * KG ) == m² /s²

so unit of h is   m² /s²

v ² = m² /s²

g*z = (m/s²) * m = m² /s²

so we observed all units are same