I believe the question is regarding hydraulic power systems. Constant pressure means that the supply pressure is kept constant, whatever the flow. This requires a variable displacement pump, which is relatively more expensive and complex to control. Most systems are constant flow because they use a less expensive constant speed gear pump. When the load requires less than full flow, the excess is returned to the tank through a relief valve that sets the system operating pressure. If no flow is needed, the pump's flow is returned to the tank through an open valve so there is little pressure. Thus the pump uses little power. When there is any work to do, the valve to tank closes and the pressure increases to relief valve pressure. Thus the system consumes full power whenever any load is applied. It is not energy efficient but it is cheap, simple, and robust.