chapter_8_hydrtherm

chapter_8_hydrtherm - ME 375 System Modeling and Analysis...

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ME 375 System Modeling and Analysis Section 8 – Hydraulic and Thermal Systems Spring 2009 School of Mechanical Engineering Douglas E. Adams Associate Professor = !
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Key Points to Remember Three primary elements of interest in hydraulics Inertia ( fluid inertia ) Stiffness ( fluid capacitance ) Dissipation ( flow resistance ) When fluid is incompressible, lumped models can be used We use Laws of Thermodynamics (1st law and continuity) Only two primary elements in thermal systems Stiffness ( thermal capacitance ) Dissipation ( thermal resistance ) The rate of heat flow is analogous to current/velocity and heat is analogous to displacement/charge © 2009 D. E. Adams ME 375 – Hydraulic and thermal systems 8.1
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Hydraulic Element Laws (linear) Each lumped (linear) element has its own characteristic Hydraulic capacitance is analogous to the inverse of stiffness just as in the electrical domain V P I w C R I Think EFFORT and FLOW V P R V P 1/C Note that these are straight lines with constant slopes © 2009 D. E. Adams ME 375 – Hydraulic and thermal systems 8.2
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Hydraulic Resistance/Capacitance/Inertia Important analogies Hydraulic capacitance/resistance C R © 2009 D. E. Adams ME 375 – Hydraulic and thermal systems 8.3
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Hydraulic Resistance/Capacitance/Inertia Important analogies Hydraulic inertia I P 1 P 2 © 2009 D. E. Adams ME 375 – Hydraulic and thermal systems 8.4
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Hydraulic EOMs for Incompressible Fluids We need two laws to derive hydraulic EOMs: Conservation of mass (~ Kirchoff’s Current Law) Newton’s 2 nd law (~Kirchoff’s Voltage law) Hydraulic EOMs are found using mass / volume balance and appear naturally in state variable form.
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