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HydraulicSystem

HydraulicSystem - ME375 Handouts Hydraulic(Fluid Systems...

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ME375 Handouts 1 School of Mechanical Engineering Purdue University ME375 Hydraulic - 1 Hydraulic (Fluid) Systems Fundamental Principles Pascal’s Law: Pressure applied to the fluid is transmitted equally in all directions Transmit forces (incompressible) Applications High force Heavy loads Precise motion
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ME375 Handouts 2 School of Mechanical Engineering Purdue University ME375 Hydraulic - 2 Hydraulic System Modeling Basic Modeling Elements Resistance Capacitance Inertance Pressure and Flow Sources Interconnection Relationships Compatibility Law Continuity Law Derive Input/Output Models
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ME375 Handouts 3 School of Mechanical Engineering Purdue University ME375 Hydraulic - 3 The analogy between a hydraulic system and an electrical system will be used often. Just as in electrical systems, the flow rate (current) is defined to be the time rate of change (derivative) of volume (charge): The pressure, p , used in this chapter is the absolute pressure . You need to be careful in determining whether the pressure is the absolute pressure or gage pressure , p * . Gage pressure is the difference between the absolute pressure and the atmospheric pressure, i.e. Key Concepts q : volumetric flow rate [m 3 /sec] ( ) p : pressure [N/m 2 ] ( ) v : volume [m 3 ] ( ) p p p atmospheric * q d dt v v
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ME375 Handouts 4 School of Mechanical Engineering Purdue University ME375 Hydraulic - 4 Fluid Resistance Describes any physical element with the characteristic that the pressure drop, D p, across the element is proportional to the flow rate q . Orifices, valves, nozzles and friction in pipes can be modeled as fluid resistors. Basic Modeling Elements D D p p p p R q q R p R p 1 2 12 12 1 1 q R + D p p 1 p 2 + D p R p 1 p 2 q Fluid Capacitance Describes any physical element with the
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