Enthalpy, H, Specific Enthalpy, h
Index

Enthalpy, H is the name given to a grouping of thermodynamic parameters: 
H = U + PV.  The enthalpy per unit mass is the specific enthalpy, h = u + pv. It is a function of the state of the system.

In a general thermodynamic process: dh = du + pdv + vdp = dq + vdp, where dq is the path dependent heat transfer to the system.  For constant pressure processes, dp = 0 and  dq = dh. The enthalpy change in a constant pressure process is, therefore, a measure of the heat interaction between the system and its surroundings.